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SU(2) x SU(2) nonlocal quark model with confinement
Authors:A.?E.?Radzhabov  author-information"  >  author-information__contact u-icon-before"  >  mailto:aradzh@thsun.jinr.ru"   title="  aradzh@thsun.jinr.ru"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,M.?K.?Volkov
Affiliation:(1) Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980 Dubna, Russia
Abstract:The nonlocal version of the SU(2) x SU(2) symmetric four-quark interaction of the NJL type is considered. Each of the quark lines contains the form factors. These form factors remove the ultraviolet divergences in quark loops. The additional condition on the quark mass function m(p) ensures the absence of the poles in the quark propagator (quark confinement). The constituent-quark mass m(0) is expressed through the cut-off parameter $Lambda$, $m(0) = Lambda = 340$ MeV in the chiral limit. These parameters are fixed by the experimental value of the weak pion decay and allow us to describe the mass of the light scalar meson, the strong decay $rho rightarrow pi pi$ and the D/S ratio in the decay $a_1 rightarrow rho pi$ in satisfactory agreement with the experimental data.Received: 16 June 2003, Revised: 28 July 2003, Published online: 18 December 2003PACS: 14.40.-n Mesons - 11.10.Lm Nonlinear or nonlocal theories and models - 12.39.Ki Relativistic quark model
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