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### [TEXTSPLITTER CLASS] #########################################
### [Breakdown decisions for document Christiaan PhD Thesis] ###
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[FONTSIZE=6.973799999999983] <=> [VERTPOS=569.3970827999999] <=> [WHITELINES=16.59435719999999;6.986999999999966] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<i,j=1>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=562.4100827999999] <=> [WHITELINES=6.986999999999966;525.5863905919999] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<i<j>]
[FONTSIZE=9.962600000000066] <=> [VERTPOS=579.6570827999999] <=> [WHITELINES=525.5863905919999;41.934827200000086] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(cid:104)3H ⊗ Ψrecoil|V (i, j)|3He ⊗ 0(cid:105) , (2.10)>]
[FONTSIZE=9.962600000000066] <=> [VERTPOS=537.7222555999998] <=> [WHITELINES=41.934827200000086;11.955000000000041] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<where (cid:126)r is the distance between the projectile (ejectile) and the target (recoil) nucleus,>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=489.9022555999998] <=> [WHITELINES=11.954999999999984;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<accurate description when the beam energy is above 100 MeV/u [5], but this poses no>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=454.03625559999983] <=> [WHITELINES=11.954999999999984;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<wave function of the beam |3He(cid:105) and the ground-state wave function of the target |0(cid:105)>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=394.2602555999999] <=> [WHITELINES=11.956000000000017;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<of all involved nucleons are integrated out, except the position vector (cid:126)r (introduced>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=382.3052555999999] <=> [WHITELINES=11.954999999999984;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<at the beginning of this paragraph) from the centre of the target nucleus to the centre>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=370.3502555999999] <=> [WHITELINES=11.954999999999984;21.918000000000006] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<of the beam nucleus [5].>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=348.4322555999999] <=> [WHITELINES=21.918000000000006;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<The resulting quantity F ((cid:126)r) is known as the form factor of the reaction [5]. The>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=336.4772555999999] <=> [WHITELINES=11.954999999999984;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<computation of the form factor was performed by the FOLD-module, which requires>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=324.52225559999994] <=> [WHITELINES=11.954999999999984;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<the single-particle wave functions computed by the WSAW-module for the target>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=312.56725559999995] <=> [WHITELINES=11.954999999999984;11.956000000000017] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<and recoil nucleus, the single-particle wave functions of the beam and ejectile, the>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=300.61125559999994] <=> [WHITELINES=11.956000000000017;12.869172800000001] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<X-coeﬃcients of the normal-modes formalism, computed by the program NORMOD,>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=287.74208279999993] <=> [WHITELINES=12.869172800000001;11.040827199999967] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<and the quantum numbers ∆L, ∆S, ∆J, ∆T and ∆Tz of the transition as inputs.>]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=206.96325559999994] <=> [WHITELINES=11.955000000000013;11.955999999999989] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<calculation of the form factor using the FOLD-module for all three possible changes>]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=183.05225559999994] <=> [WHITELINES=11.955000000000013;12.86917280000003] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<ligible. Therefore, we decided to take only the dominant contribution along in our>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=65.4932555999999] <=> [WHITELINES=11.954999999999998;-2.0] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<a computation of their own form factor.>]
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[FONTSIZE=9.962600000000066] <=> [VERTPOS=627.5052555999999] <=> [WHITELINES=-2.0;11.984808991999785] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<Section 2.5 Chapter 2: Theoretical models for the diﬀerential cross sections>]
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[FONTSIZE=9.962600000000066] <=> [VERTPOS=561.9802556] <=> [WHITELINES=11.955000000000041;11.955000000000041] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<F ((cid:126)r) is the Plane-Wave Born Approximation (PWBA) [45]. In the PWBA, the form>]
[FONTSIZE=9.962600000000066] <=> [VERTPOS=550.0252555999999] <=> [WHITELINES=11.955000000000041;11.955000000000041] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<factor F ((cid:126)r) is projected onto an incoming and an outgoing plane wave to compute>]
[FONTSIZE=9.962600000000066] <=> [VERTPOS=538.0702555999999] <=> [WHITELINES=11.955000000000041;34.78817279999993] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<the transfer matrix element T . The transfer matrix element is deﬁned as: [5, 45].>]
[FONTSIZE=9.962599999999952] <=> [VERTPOS=503.28208279999996] <=> [WHITELINES=34.78817279999993;27.89500000000004] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<T = (cid:104)φf ((cid:126)kf , (cid:126)r)|F ((cid:126)r)|φi((cid:126)ki, (cid:126)r)(cid:105) , (2.11)>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=475.3870827999999] <=> [WHITELINES=27.89500000000004;11.040827199999967] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<where φi and φf are plane waves describing the incoming beam nucleus and the>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=464.34625559999995] <=> [WHITELINES=11.040827199999967;34.78717280000001] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<outgoing ejectile, respectively. Their expressions are given by:>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=400.02508279999995] <=> [WHITELINES=29.533999999999992;13.23399999999998] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<where (cid:126)ki is the momentum vector (in reduced mass) of the incident beam divided by>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=386.79108279999997] <=> [WHITELINES=13.23399999999998;11.03982719999999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(cid:126) and (cid:126)kf is the momentum vector (in reduced mass) of the outgoing ejectile divided>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=375.7512556] <=> [WHITELINES=11.03982719999999;12.870172800000034] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<by (cid:126). The computation of T will then integrate out any dependence on (cid:126)r, but will still>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=362.88108279999994] <=> [WHITELINES=12.870172800000034;13.593000000000018] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<depend on (cid:126)ki and (cid:126)kf . We chose to evaluate the result in the centre-of-mass frame in>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=336.05408279999995] <=> [WHITELINES=13.23399999999998;11.040827199999967] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Conservation of momentum then prescribes that (cid:126)kf is fully speciﬁed by its azimuthal>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=325.0132556] <=> [WHITELINES=11.040827199999967;12.870172799999978] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<angle φ, its polar angle θ and the excitation energy E∗ of the recoil nucleus. Hence,>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=312.1430828] <=> [WHITELINES=12.870172799999978;11.03982719999999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<for a speciﬁc transition in a speciﬁc experiment, Ei and E∗ are known and T only>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=301.1032556] <=> [WHITELINES=11.03982719999999;21.918000000000006] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<depends on θ and φ.>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=279.1852556] <=> [WHITELINES=21.918000000000006;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Once the transition matrix element T is known, the diﬀerential cross section is given>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=267.2302556] <=> [WHITELINES=11.954999999999984;32.661] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<by:>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=234.56925560000002] <=> [WHITELINES=32.661;13.574000000000012] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<dσ>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=220.9952556] <=> [WHITELINES=13.574000000000012;535.9993905919999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<dΩ>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=227.8292556] <=> [WHITELINES=535.9993905919999;537.0085633919999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<=>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=233.6540828] <=> [WHITELINES=537.0085633919999;12.65882719999999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<EEnt · Eexit>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=220.9952556] <=> [WHITELINES=12.65882719999999;530.1745633919999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<4π2(cid:126)4c4 ·>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=233.65408279999997] <=> [WHITELINES=530.1745633919999;15.389999999999986] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<|(cid:126)kf |>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=218.26408279999998] <=> [WHITELINES=15.389999999999986;533.2682177919999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<|(cid:126)ki|>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=227.8292556] <=> [WHITELINES=533.2682177919999;35.91117280000003] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<· |T |2, (2.13)>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=191.91808279999998] <=> [WHITELINES=35.91117280000003;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<where EEnt is the reduced total energy of the beam nucleus and the target nucleus>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=179.9630828] <=> [WHITELINES=11.954999999999984;11.040827199999995] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<and Eexit is the reduced total energy of the recoil and ejectile nucleus (total energy>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=168.9222556] <=> [WHITELINES=11.040827199999995;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<being the time component of the particles 4-momentum). In the limit of low beam>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=156.9672556] <=> [WHITELINES=11.955000000000013;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<energy, both reduced energies approach µc2 where µ is the reduced mass of the beam>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=145.01225559999997] <=> [WHITELINES=11.955000000000013;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<and the target. This low-energy form of Equation (2.13) can be found in Ref. [5], but>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=133.05725559999996] <=> [WHITELINES=11.955000000000013;11.956000000000017] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<the FOLD-program uses the general formulation, which is identical to our Equation>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=121.10125559999994] <=> [WHITELINES=11.956000000000017;21.917] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(2.13).>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=99.18425559999994] <=> [WHITELINES=21.917;11.954999999999998] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<In the situation that the beam and the target are unpolarized, the whole system of>]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=192.07908279999995] <=> [WHITELINES=17.44717280000006;13.573999999999955] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<ZpZT e2>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=178.5050828] <=> [WHITELINES=13.573999999999955;14.621827199999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<4π(cid:15)0>]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=186.25425560000002] <=> [WHITELINES=513.7223905919999;23.285172799999998] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<·>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=162.96908280000002] <=> [WHITELINES=23.285172799999998;13.57400000000004] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<ZpZT e2>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=149.39508279999998] <=> [WHITELINES=13.57400000000004;506.8893905919999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<4π(cid:15)0>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=185.33908279999994] <=> [WHITELINES=506.8893905919999;29.10999999999993] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<VC(r) =>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=156.22908280000001] <=> [WHITELINES=29.10999999999993;482.0212177919999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<VC(r) =>]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=163.88325560000004] <=> [WHITELINES=21.45582719999996;14.488172800000058] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<r2>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=149.39508279999998] <=> [WHITELINES=14.488172800000058;538.460390592] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<2ArC>]
[FONTSIZE=6.973800000000011] <=> [VERTPOS=153.76808279999997] <=> [WHITELINES=538.460390592;29.41299999999997] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<3 ) if 0 ≤ r ≤ rCA1/3,>]
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[FONTSIZE=9.962600000000066] <=> [VERTPOS=627.5052555999999] <=> [WHITELINES=-2.0;-2.0] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<Section 4.5>]
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[FONTSIZE=6.973799999999983] <=> [VERTPOS=577.4300828] <=> [WHITELINES=1.8503571999999622;534.9263905919998] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<P W BA>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=585.3370828000001] <=> [WHITELINES=534.9263905919998;537.363217792] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<dσ>]
[FONTSIZE=9.962600000000066] <=> [VERTPOS=590.8072556] <=> [WHITELINES=537.363217792;36.51717279999991] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<,>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=385.26425559999996] <=> [WHITELINES=533.8092177919999;39.67500000000001] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(5.2)>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=271.0152556] <=> [WHITELINES=21.918000000000006;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Hence, we can conclude from Tables 5.8 and 5.9 that, when the same analysis proce->]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=199.28425559999997] <=> [WHITELINES=11.955000000000013;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<5.4, since the analysis procedure of Ref. [28] includes the subtraction of the quasi-free>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=187.32925559999995] <=> [WHITELINES=11.955000000000013;21.918000000000006] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<charge-exchange background.>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=165.41125559999995] <=> [WHITELINES=21.918000000000006;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<In Ref. [28], the individual states in the region of low excitation energy (below 4 MeV)>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=153.45625559999993] <=> [WHITELINES=11.955000000000013;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<were also studied. These results can be compared to Tables 5.1 and 5.2. This compar->]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=105.6352555999999] <=> [WHITELINES=11.956000000000003;11.954999999999998] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<eliminate these contributions, so we shall assume that the Gamow-Teller contribu->]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=316.15525560000003] <=> [WHITELINES=11.95599999999996;11.955000000000041] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<−− −− 4770 −− −− −−>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=304.2002556] <=> [WHITELINES=11.955000000000041;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<−− −− 5010 −− −− −−>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=292.2452556] <=> [WHITELINES=11.954999999999984;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<−− −− 5260 −− −− −−>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=254.78325560000002] <=> [WHITELINES=25.507000000000005;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<The systematic uncertainty of the energy calibration was estimated at 40 keV FWHM>]
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[FONTSIZE=9.962600000000066] <=> [VERTPOS=574.9580827999999] <=> [WHITELINES=11.955000000000041;11.04082720000008] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<rameter, N0. From the magenta line in Figure 5.7, it is clear that we have chosen N0>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=374.62725559999996] <=> [WHITELINES=11.954999999999984;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<this strength is located in the same region as that of the IVSGMR and/or the IVGMR>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=362.67225559999997] <=> [WHITELINES=11.954999999999984;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(see Ref. [5] and references therein). This means that the region around 28 MeV may>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=350.7172556] <=> [WHITELINES=11.954999999999984;11.956000000000017] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<carry ∆L = 0 contributions from Gamow-Teller transitions, from the IVSGMR and>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=338.76125559999997] <=> [WHITELINES=11.956000000000017;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<from the IVGMR. As it is impossible to disentangle these contributions with an MDA>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=290.94125560000003] <=> [WHITELINES=11.954999999999984;21.918000000000006] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<100% of the data at 28 MeV must be an overestimation of the background subtraction.>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=269.0232556] <=> [WHITELINES=21.918000000000006;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Due to the poor systematic knowledge on the quasi-free charge-exchange background,>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=257.06825560000004] <=> [WHITELINES=11.954999999999984;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<it is impossible to determine the correct normalization of Equation (4.9) that keeps>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=245.11325560000003] <=> [WHITELINES=11.955000000000013;11.955999999999989] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<all contributions from the IVGMR, the IVSGMR and the Gamow-Teller strength>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=125.56125559999995] <=> [WHITELINES=11.955000000000013;11.954999999999998] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<This conclusion is in agreement with the procedures and considerations followed in>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=89.69525559999995] <=> [WHITELINES=11.954999999999998;11.954999999999998] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<The result would be the yellow spectra in Figure 5.4. The analysis with the back->]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=77.74025559999995] <=> [WHITELINES=11.954999999999998;11.954999999999998] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<ground subtraction (cyan spectra) should then only be used for the sake of comparing>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=65.78525559999996] <=> [WHITELINES=11.954999999999998;-2.0] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<our results with those of Ref. [28].>]
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[FONTSIZE=9.962600000000066] <=> [VERTPOS=627.5052555999999] <=> [WHITELINES=-2.0;8.83539059199984] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<Section 5.3 Chapter 5: Results and Discussion>]
[FONTSIZE=9.962600000000066] <=> [VERTPOS=599.7832556] <=> [WHITELINES=8.83539059199984;11.956000000000017] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<To summarize, we conclude that the quasi-free charge-exchange background should>]
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[FONTSIZE=9.962600000000066] <=> [VERTPOS=563.9172555999999] <=> [WHITELINES=11.955000000000041;11.955000000000041] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<shifted Gamow-Teller strength intact. We also conclude that our results for the 122Sn>]
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[FONTSIZE=9.962600000000066] <=> [VERTPOS=516.0962555999997] <=> [WHITELINES=11.956000000000017;11.954999999999927] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<quasi-free background, but not the higher multipolarity contributions), our results are>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=332.0462556] <=> [WHITELINES=536.0933905919999;13.572999999999979] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<|N − Z|>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=318.4732556] <=> [WHITELINES=13.572999999999979;535.9993905919999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<D>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=325.3072556] <=> [WHITELINES=535.9993905919999;537.0085633919999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<, D =>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=317.5580828] <=> [WHITELINES=13.573999999999955;535.0842177919999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<ˆσF>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=325.3072556] <=> [WHITELINES=535.0842177919999;36.90017280000001] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<, (5.5)>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=288.4070828] <=> [WHITELINES=36.90017280000001;-2.2421727999999916] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<f (kIAS>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=290.6492556] <=> [WHITELINES=-2.2421727999999916;2.2421727999999916] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<where kGT>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=278.6942556] <=> [WHITELINES=9.712827199999992;12.870172799999978] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<after a Gamow-Teller (Fermi) transition [100]. The ratio of these wave numbers is>]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=137.22425559999994] <=> [WHITELINES=11.955000000000013;12.869172800000001] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(5.5) can reasonably reproduce our results in the ﬁrst two columns of Tables 5.8 and>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=368.3062555999999] <=> [WHITELINES=22.40658159999998;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<In this section, we would like to give a short overview of all the possible sources of>]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=192.96425559999986] <=> [WHITELINES=11.955000000000013;11.955999999999989] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<for the isotopes of interest, the higher multipolarity contributions could not be sub->]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=157.09825559999985] <=> [WHITELINES=11.955000000000013;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<multipolarities. This allowed us to make a fair comparison between our data and the>]
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[FONTSIZE=6.973799999999983] <=> [VERTPOS=266.6420828] <=> [WHITELINES=1.8831728000000112;-1.8831727999999543] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<m,i>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=268.5252556] <=> [WHITELINES=-1.8831727999999543;1.8831728000000112] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<∗a†>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=266.64208279999997] <=> [WHITELINES=1.8831728000000112;0.0] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<mai − Y ν>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=266.64208279999997] <=> [WHITELINES=0.0;-1.8831727999999543] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<m,i>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=268.5252555999999] <=> [WHITELINES=-1.8831727999999543;2.1971728000000326] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<∗a†>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=266.3280827999999] <=> [WHITELINES=2.1971728000000326;533.6230333919999] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<i am>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=275.53843999999987] <=> [WHITELINES=533.6230333919999;7.0131844] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(cid:17)>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=268.52525559999987] <=> [WHITELINES=7.0131844;37.96199999999999] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<, (5.6)>]
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[FONTSIZE=6.973799999999997] <=> [VERTPOS=87.21008279999984] <=> [WHITELINES=1.8831727999999828;0.0] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<m,i|2 − |Y ν>]
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[FONTSIZE=6.973799999999983] <=> [VERTPOS=494.1792555999995] <=> [WHITELINES=531.658217792;1.8831728000000112] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<∗ · F ∗>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=492.2960827999995] <=> [WHITELINES=1.8831728000000112;0.0] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<m,i + Y ν>]
[FONTSIZE=6.973799999999983] <=> [VERTPOS=492.2960827999995] <=> [WHITELINES=0.0;39.512] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<m,i · Fm,i, (5.8)>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=407.87025559999955] <=> [WHITELINES=5.420184399999982;0.9141728000000171] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<ˆO =>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=406.95608279999954] <=> [WHITELINES=0.9141728000000171;1.5109999999999673] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Fk,la†>]
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[FONTSIZE=6.973799999999983] <=> [VERTPOS=396.46708279999956] <=> [WHITELINES=8.978000000000009;531.4302177919999] <=> [TEXTLEVEL=5] <=> [TEXTLABEL=<texttype.FOOTER] <=> [CONTENT=<k,l>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=407.87025559999955] <=> [WHITELINES=531.4302177919999;39.104172800000015] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<(5.9)>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=368.76608279999954] <=> [WHITELINES=39.104172800000015;13.476999999999975] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<The coeﬃcients Fm,i can be obtained by taking anti-commutators and using the>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=283.9592556] <=> [WHITELINES=535.9993905919999;32.07300000000001] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<· | (cid:104)E| ˆO|0(cid:105) |2 (5.10)>]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=223.19525559999997] <=> [WHITELINES=11.955000000000013;11.955000000000013] <=> [TEXTLEVEL=3] <=> [TEXTLABEL=<texttype.ENUMERATION] <=> [CONTENT=<C. Rigollet, H. Schaﬀner, C. Scheidenberger, S. Schwertel, P.-A. S¨oderstr¨om,>]
[FONTSIZE=9.96259999999998] <=> [VERTPOS=211.24025559999995] <=> [WHITELINES=11.955000000000013;11.955999999999989] <=> [TEXTLEVEL=2] <=> [TEXTLABEL=<texttype.ENUMERATION] <=> [CONTENT=<S. J. Steer, A. Stolz and P. Strme˘n, “Superallowed Gamow-Teller decay of the>]
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[FONTSIZE=9.96259999999998] <=> [VERTPOS=153.45625559999996] <=> [WHITELINES=11.955000000000013;11.955000000000013] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Rahaman, J. Rissanen, A. Saastamoinen, H. Schatz, D. M. Seliverstov, C. Weber>]
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[FONTSIZE=9.962600000000066] <=> [VERTPOS=518.0892555999998] <=> [WHITELINES=11.955000000000041;21.91799999999995] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<vol. 77, pp. 427–488, 2005.>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=496.1712555999998] <=> [WHITELINES=21.91799999999995;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<[39] P. Navr´ati, “Ab initio no-core shell model calculations for light nuclei,”>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=484.21625559999984] <=> [WHITELINES=11.954999999999984;21.918000000000006] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<arXiv:0711.2702v1, 2007.>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=462.29825559999983] <=> [WHITELINES=21.918000000000006;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<[40] W. G. Love and M. A. Franey, “Eﬀective nucleon-nucleon interaction for scat->]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=392.5602555999999] <=> [WHITELINES=11.954999999999984;11.956000000000017] <=> [TEXTLEVEL=2] <=> [TEXTLABEL=<texttype.ENUMERATION] <=> [CONTENT=<R. Kinney, M. A. Miller, W. Nagengast, A. Nogga, B. R. Owen, K. Rith, F.>]
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[FONTSIZE=9.962600000000009] <=> [VERTPOS=310.86625559999993] <=> [WHITELINES=11.954999999999984;21.918000000000006] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Elastic Scattering,” Physical Review Letters, vol. 445, p. 012001, 2013.>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=288.9482555999999] <=> [WHITELINES=21.918000000000006;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<[43] N. Kalantar-Nayestanaki, E. Epelbaum, J. G. Messchendorp and A. Nogga,>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=276.99325559999994] <=> [WHITELINES=11.954999999999984;11.954999999999984] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<“Signatures of three-nucleon interactions in few-nucleon systems,” Reports on>]
[FONTSIZE=9.962600000000009] <=> [VERTPOS=265.03825559999996] <=> [WHITELINES=11.954999999999984;21.918000000000006] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<Progress in Physics, vol. 75, no. 6, p. 016301, 2012.>]
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[FONTSIZE=9.962600000000066] <=> [VERTPOS=553.9542555999999] <=> [WHITELINES=11.956000000000017;11.955000000000041] <=> [TEXTLEVEL=4] <=> [TEXTLABEL=<texttype.BODY] <=> [CONTENT=<300 MeV,” Nuclear Instruments and Methods in Physics Research Section A:>]
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