Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1994-10-15
Nucl.Phys. A581 (1995) 557-597
Physics
Nuclear Physics
Nuclear Theory
40 pages, UMPP #94--037, (4 figures available on request by e-mail or FAX)
Scientific paper
10.1016/0375-9474(94)00471-X
We consider a new approach to the description of dense nuclear matter in the framework of chirally symmetric, quark-based hadron models. As previously in the Skyrme model, the dense environment is described in terms of hyperspherical cells of unit baryon number. The intrinsic curvature of these cells generates a new gauge interaction for the quark fields which mediates interactions with the ambient matter. We apply this approach to the Nambu-Jona-Lasinio (NJL) model, construct its curved-space quark propagator and solve the ladder Bethe-Salpeter equation for the pion. We find a high-density phase transition to chiral restoration, discuss the density dependence of the chiral order parameter and of the pion properties, and compare with results of the conventional chemical-potential approach. The new approach can additionally describe baryon-density-free cavities in the dense medium.
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