Standard

Generalized string-flip model for quantum cluster scattering. / Kuperin, Yu A.; Levin, S. B.; Melnikov, Yu B.

In: Journal of Mathematical Physics, Vol. 35, No. 1, 1994, p. 71-95.

Research output: Contribution to journal › Article › peer-review

Harvard

Kuperin, YA, Levin, SB & Melnikov, YB 1994, 'Generalized string-flip model for quantum cluster scattering', Journal of Mathematical Physics, vol. 35, no. 1, pp. 71-95. https://doi.org/10.1063/1.530743

APA

Kuperin, Y. A., Levin, S. B., & Melnikov, Y. B. (1994). Generalized string-flip model for quantum cluster scattering. Journal of Mathematical Physics, 35(1), 71-95. https://doi.org/10.1063/1.530743

Vancouver

Kuperin YA, Levin SB, Melnikov YB. Generalized string-flip model for quantum cluster scattering. Journal of Mathematical Physics. 1994;35(1):71-95. https://doi.org/10.1063/1.530743

Author

Kuperin, Yu A. ; Levin, S. B. ; Melnikov, Yu B. / Generalized string-flip model for quantum cluster scattering. In: Journal of Mathematical Physics. 1994 ; Vol. 35, No. 1. pp. 71-95.

BibTeX

@article{fbb4446acd5f430b9e4c3ef8d4153ce4,
title = "Generalized string-flip model for quantum cluster scattering",
abstract = "The generalized string-flip model for quantum scattering in a system of two N-body clusters is under consideration. The extra channel interpreted as the quark compound bag is considered which generates energy-dependent integral boundary conditions in the effective boundary problem. It is shown that the standard string-flip model can be generalized for N identical particles in a cluster. The effective Hamiltonian and effective integral equations for the partial s-wave S matrix are proven to be form invariant with respect to N. The effective configuration space is shown to be two-dimensional for every N and its geometry for different N is discussed. Results of the numerical calculations of s-wave scattering phases, inelasticity parameters, and scattering lengths for N=2 (meson-meson scattering) and N=3 (baryon-baryon scattering) are presented. The resonance influence of the extra channel is investigated. Generalizations including spin-spin interaction and quark color group SU(n) are also presented.",
author = "Kuperin, {Yu A.} and Levin, {S. B.} and Melnikov, {Yu B.}",
year = "1994",
doi = "10.1063/1.530743",
language = "English",
volume = "35",
pages = "71--95",
journal = "Journal of Mathematical Physics",
issn = "0022-2488",
publisher = "American Institute of Physics",
number = "1",

}

RIS

TY - JOUR

T1 - Generalized string-flip model for quantum cluster scattering

AU - Kuperin, Yu A.

AU - Levin, S. B.

AU - Melnikov, Yu B.

PY - 1994

Y1 - 1994

N2 - The generalized string-flip model for quantum scattering in a system of two N-body clusters is under consideration. The extra channel interpreted as the quark compound bag is considered which generates energy-dependent integral boundary conditions in the effective boundary problem. It is shown that the standard string-flip model can be generalized for N identical particles in a cluster. The effective Hamiltonian and effective integral equations for the partial s-wave S matrix are proven to be form invariant with respect to N. The effective configuration space is shown to be two-dimensional for every N and its geometry for different N is discussed. Results of the numerical calculations of s-wave scattering phases, inelasticity parameters, and scattering lengths for N=2 (meson-meson scattering) and N=3 (baryon-baryon scattering) are presented. The resonance influence of the extra channel is investigated. Generalizations including spin-spin interaction and quark color group SU(n) are also presented.

AB - The generalized string-flip model for quantum scattering in a system of two N-body clusters is under consideration. The extra channel interpreted as the quark compound bag is considered which generates energy-dependent integral boundary conditions in the effective boundary problem. It is shown that the standard string-flip model can be generalized for N identical particles in a cluster. The effective Hamiltonian and effective integral equations for the partial s-wave S matrix are proven to be form invariant with respect to N. The effective configuration space is shown to be two-dimensional for every N and its geometry for different N is discussed. Results of the numerical calculations of s-wave scattering phases, inelasticity parameters, and scattering lengths for N=2 (meson-meson scattering) and N=3 (baryon-baryon scattering) are presented. The resonance influence of the extra channel is investigated. Generalizations including spin-spin interaction and quark color group SU(n) are also presented.

UR - http://www.scopus.com/inward/record.url?scp=36449004026&partnerID=8YFLogxK

U2 - 10.1063/1.530743

DO - 10.1063/1.530743

M3 - Article

AN - SCOPUS:36449004026

VL - 35

SP - 71

EP - 95

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 1

ER -

ID: 88562237