S-wave \(\pi - \pi\) Scattering Lengths in the SU(2) NJL Model Beyond Mean-field Approximation

The S-wave \(\pi - \pi\) scattering lengths \(a_0\) and \(a_2\) are calculated to the lowest order of \(1/N_c\) expansion in the general framework of SU(2) NJL model beyond mean-field approximation. It is shown that using the universal curve of \(a_0\) and \(a_2\) the four NJL parameters, i.e., the...

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Bibliographic Details
Published in:arXiv.org 1999-06
Main Authors: Huang, Mei, Zhuang, Pengfei, Chao, Weiqin
Format: Article
Language:English
Subjects:
Approximation
Fermions
Momentum
Quarks
Scattering
Online Access:Get full text
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Summary:The S-wave \(\pi - \pi\) scattering lengths \(a_0\) and \(a_2\) are calculated to the lowest order of \(1/N_c\) expansion in the general framework of SU(2) NJL model beyond mean-field approximation. It is shown that using the universal curve of \(a_0\) and \(a_2\) the four NJL parameters, i.e., the current quark mass \(m_0\), the four fermion coupling constant \(G\), the quark momentum cut-off \(\Lambda_f\) and the meson momentum cut-off \(\Lambda_b\), also the S-wave \(\pi - \pi\) scattering lengths in NJL model can be uniquely determined.
ISSN:2331-8422
DOI:10.48550/arxiv.9906468