Measurement and analysis of the π+π+ system produced at small momentum transfer in the reaction π+p→π+π+n at 12.5 GeV

Hoogland, W.; Peters, Sarah; Grayer, G.; Hyams, B.; Weilhammer, P.; Blum, W.; Dietl, H.; Hentschel, G.; Koch, W.; Lorenz, E.; Lütjens, G.; Lütz, G.; Männer, W.; Richter, R.; Stierlin, U.

doi:10.1016/0550-3213(77)90154-7

Cited by 185 publications

(95 citation statements)

References 7 publications

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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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Section: Introductionmentioning

confidence: 99%

Cross sections for meson–meson nonresonant reactions

2007

Nuclear Physics A

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“…refs. [56][57][58]). In principle, the ππ interaction should have a contribution to the final state interaction comparable to the one in the isospin 3/2 channel.…”

Section: Jhep08(2014)135mentioning

confidence: 99%

Final state interaction in D + → K − π + π + with Kπ I = 1/2 and 3/2 channels

Guimaraes

Lourenço

Paula

et al. 2014

J. High Energ. Phys.

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The final state interaction contribution to D + decays is computed for the K − π + π + channel within a light-front relativistic three-body model for the final state interaction. The rescattering process between the kaon and two pions in the decay channel is considered. The off-shell decay amplitude is a solution of a four-dimensional Bethe-Salpeter equation, which is decomposed in a Faddeev form. The projection onto the light-front of the coupled set of integral equations is performed via a quasi-potential approach. The S-wave Kπ interaction is introduced in the resonant isospin 1/2 and the non-resonant isospin 3/2 channels. The numerical solution of the light-front tridimensional inhomogeneous integral equations for the Faddeev components of the decay amplitude is performed perturbatively. The loop-expansion converges fast, and the three-loop contribution can be neglected in respect to the two-loop results for the practical application. The dependence on the model parameters in respect to the input amplitude at the partonic level is exploited and the phase found in the experimental analysis, is fitted with an appropriate choice of the real weights of the isospin components of the partonic amplitude. The data suggests a small mixture of total isospin 5/2 to the dominant 3/2 one. The modulus of the unsymmetrized decay amplitude, which presents a deep valley and a following increase for Kπ masses above 1.5 GeV, is fairly reproduced. This suggests the assignment of the quantum numbers 0 + to the isospin 1/2 K * (1630) resonance.

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“…The data points shown as triangles in Fig. 12 are from an analysis of the CERN-Munich π + p → π + π + n experiment by Hoogland et al [43].…”

Section: Scattering Phase Shiftsmentioning

confidence: 99%

“…One of the authors (HRF) is grateful for visiting opportunities at the Institute for Nuclear Physics of the Technical University of Vienna and at Thomas Jefferson Laboratory, where significant advances were made. We thank Nathan Isgur for pointing out [43] to us. The final stages of the work were completed during a most inspiring stay at the Special Research Center for the Structure of Subatomic Matter, CSSM, where the manuscript was written.…”

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confidence: 99%