Baryon Mass in medium with Holographic QCD

Abstract

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.

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

References in corpus (9)

• Holographic phase transitions at finite baryon density
• Chiral Dynamics of Baryons from String Theory
• Holographic Nuclear Physics
• Holographic chiral phase transition with chemical potential
• Dynamics of Baryons from String Theory and Vector Dominance
• Baryons in AdS/QCD
• Baryons in Holographic QCD
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