Measurement of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>Elastic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>Cross Sections

Colton, E.; Malamud, E.; Schlein, P.; Johnson, A. D.; Stenger, V. J.; Wohlmut, P.G.

doi:10.1103/physrevd.3.2028

Cited by 35 publications

(29 citation statements)

References 16 publications

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“…On the other hand, estimated values of the long range correlation parameter γ approach approximately zero when (15) is used (except for the result found in present analysis of data by AMY collaboration).…”

Section: Analyses Of Data In E + E − Annihilationcontrasting

confidence: 42%

“…Therefore, we conclude that the physical meanings of the fractional degree of coherence parameter λ and the long range correlation parameter γ as obtained by the standard formula (16) should be attributed to the FSI. Moreover, the values of the source size parameter reported by various collaborations (after using the relation: β = √ 2R) and obtained by the standard formula (16) are systematically larger than values estimated by (15). Near 250 MeV/c there is a connecting point.…”

Section: Discussionmentioning

confidence: 74%

“…3 and Table I. 3 As seen in Table I, estimated values of the degree of coherence parameter λ are systematically larger (approaching unity) when (15) is used than those obtained by the standard formula (16).…”

Section: Analyses Of Data In E + E − Annihilationmentioning

confidence: 91%

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Coulomb and strong interactions for Bose-Einstein correlations

Osada

Сано

Biyajima

1996

Z. Phys. C - Particles and Fields

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We present an analytical formula for the Bose-Einstein correlations (BEC) which includes effects of both Coulomb and strong final state interactions (FSI). It was obtained by using Coulomb wave function together with the scattering partial wave amplitude of the strong interactions describing data on the s-wave phase shift. We have proved numerically that this method is equivalent to solving Schrödinger equation with Coulomb and the s-wave strong interaction potentials. As an application we have analysed, using our formula which includes the degree of coherence and the long range correlation, the data for e + e − annihilations.We have found that the degree of coherence present in our formula approaches approximately unity whereas the long range correlation parameter becomes approximately zero. These results suggest that the physical meanings of the fractional degree of coherence and the long range correlation observed in various other analyses can most probably be attributed to FSI.

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Section: Analyses Of Data In E + E − Annihilationcontrasting

confidence: 42%

Section: Discussionmentioning

confidence: 74%

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Coulomb and strong interactions for Bose-Einstein correlations

Osada

Сано

Biyajima

1996

Z. Phys. C - Particles and Fields

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“…In order to explain the measured elastic phase shifts [10][11][12][13][14][15] for I = 2 ππ and I = 3/2 Kπ scattering, Barnes et al [16,17] considered Born-order quark-interchange diagrams in a nonrelativistic potential model and few other attempts have been made [18,19].…”

Section: Introductionmentioning

confidence: 99%

Cross sections for meson–meson nonresonant reactions

2007

Nuclear Physics A

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Meson-meson nonresonant reactions governed by the quark-interchange mechanism are studied in a potential that is derived from QCD. S-wave elastic phase shifts for I = 2 ππ and I = 3/2 Kπ scattering are obtained with wave functions determined by the central spin-independent term of the potential. The reactions include inelastic scatterings of two mesons in the ground-state pseudoscalar octet and the ground-state vector nonet. Cross sections for reactions involving π, ρ, K and K * indicate that mesonic interactions in matter consisting of only K and K * can be stronger than mesonic interactions in matter consisting of only π and ρ and the reaction of I = 3/2 πK * → ρK is most important among the endothermic nonresonant reactions. By the quark-interchange mechanism we can offer √ s-dependences of φ absorption cross sections in collisions with π and ρ and relevant average cross sections what are very small for the reaction of I = 1 πφ → K * K * and remarkably large for the reaction of I = 1 ρφ → K * K * . It is found from the √ s-dependences of cross sections that ρ and K * creation cross sections can be larger than their absorption cross sections, respectively.

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“…With the up (down) quark mass of 0.32 GeV and the experimental π mass, the experimental data of S-wave I = 2 elastic phase shifts for ππ scattering in vacuum [34][35][36][37] for 0 < √ s < 2.4 GeV are reproduced from the potential in Eq. (16) at T = 0 [20].…”

Section: Numerical Cross Sections and Discussionmentioning

confidence: 99%

Temperature-dependent cross sections for charmonium dissociation in collisions with pions andρmesons in hadronic matter

Zhou

2012

Phys. Rev. C

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Meson-charmonium dissociation reactions governed by the quark interchange are studied with temperaturedependent quark potentials. Quark-antiquark relative-motion wave functions and masses of charmonia and charmed mesons are determined by the central spin-independent part of the potentials or by the central spinindependent part and a smeared spin-spin interaction. The prominent temperature dependence of the masses is found. Based on the potentials, the wave functions, and the meson masses, we obtain temperature-dependent cross sections for the fifteen dissociation reactions: πJ /ψ →D . The numerical cross sections are parametrized for future applications in hadronic matter. The particular temperature dependence of the J /ψ bound state leads to unusual behavior of the cross sections for endothermic J /ψ dissociation reactions. The quantum numbers of ψ and χ c cannot make their difference in mass in the temperature region 0.6T c T < T c but can make the ψ dissociation different from the χ c dissociation.

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Measurement ofT=2ElasticππCross Sections

Cited by 35 publications

References 16 publications

Coulomb and strong interactions for Bose-Einstein correlations

Coulomb and strong interactions for Bose-Einstein correlations

Cross sections for meson–meson nonresonant reactions

Temperature-dependent cross sections for charmonium dissociation in collisions with pions andρmesons in hadronic matter

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