The Chromo-Dielectric Soliton Model: Quark Self Energy and Hadron Bags

Details The Chromo-Dielectric Soliton Model: Quark Self Energy and Hadron Bags The Chromo-Dielectric Soliton Model: Quark Self Energy and Hadron Bags

1996-08-12

arxiv.org/abs/nucl-th/9608018v1

Phys.Rev.C55:2067-2077,1997

Physics

Nuclear Physics

Nuclear Theory

24 pages, figures available from the authors

Scientific paper

10.1103/PhysRevC.55.2067

The chromo-dielectric soliton model (CDM) is Lorentz- and chirally-invariant. It has been demonstrated to exhibit dynamical chiral symmetry breaking and spatial confinement in the locally uniform approximation. We here study the full nonlocal quark self energy in a color-dielectric medium modeled by a two parameter Fermi function. Here color confinement is manifest. The self energy thus obtained is used to calculate quark wave functions in the medium which, in turn, are used to calculate the nucleon and pion masses in the one gluon exchange approximation. The nucleon mass is fixed to its empirical value using scaling arguments; the pion mass (for massless current quarks) turns out to be small but non-zero, depending on the model parameters.

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