Baryon Mass in medium with Holographic QCD

Details Baryon Mass in medium with Holographic QCD Baryon Mass in medium with Holographic QCD

2008-02-05

arxiv.org/abs/0802.0568v3

JHEP0804:010,2008

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 14 figures, RevTeX, Typos and errors corrected

Scientific paper

10.1088/1126-6708/2008/04/010

We study the baryon vertex (BV) in the presence of medium using DBI action and the force balance condition between BV and the probe branes. We note that a stable BV configuration exists only in some of the confining backgrounds. For the system of finite density, the issue is whether there is a canonical definition for the baryon mass in the medium. In this work, we define it as the energy of the deformed BV satisfying the force balance condition (FBC) with the probe brane. With FBC, lengths of the strings attached to the BV tend to be zero while the compact branes are enlongated to mimic the string. We attribute the deformation energy of the probe brane to the baryon-baryon interaction. We show that for a system with heavy quarks the baryon mass drops monotonically as a function of density while it has minimum in case of light quark system.

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