Baryon formation and dissociation in dense hadronic and quark matter
Abstract
We study the formation of baryons as composed of quarks and diquarks in hot and dense hadronic matter in a Nambu--Jona-Lasinio (NJL)--type model. We first solve the Dyson-Schwinger equation for the diquark propagator and then use this to solve the Dyson-Schwinger equation for the baryon propagator. We find that stable baryon resonances exist only in the phase of broken chiral symmetry. In the chirally symmetric phase, we do not find a pole in the baryon propagator. In the color-superconducting phase, there is a pole, but is has a large decay width. The diquark does not need to be stable in order to form a stable baryon, a feature typical for so-called Borromean states. Varying the strength of the diquark coupling constant, we also find similarities to the properties of an Efimov states.
Keywords
Cite
@article{arxiv.1008.4029,
title = {Baryon formation and dissociation in dense hadronic and quark matter},
author = {Jin-cheng Wang and Qun Wang and Dirk H. Rischke},
journal= {arXiv preprint arXiv:1008.4029},
year = {2015}
}
Comments
ReVTex 4, 8 pages, 7 figures; accepted version in Phys. Lett. B