Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-11-18
Phys.Lett. B387 (1996) 1-8
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages + 4 uuencoded figures (or available from the Author upon request), REVTEX. Figures previously corrupted are corrected
Scientific paper
10.1016/0370-2693(96)00985-9
We compute the finite temperature pole mass shifts of the octet and decuplet baryons using heavy baryon chiral perturbation theory and the 1/N_c expansion, where N_c is the number of QCD colors. We consider temperatures of the order of the pion mass m_\pi, and truncate the chiral and 1/N_c expansions assuming that m_\pi \sim 1/N_c. There are three scales in the problem: the temperature T, the pion mass m_\pi, and the octet--decuplet mass difference. Therefore, the result is not simply a power series in T. We find that the nucleon and \Delta temperature mass shifts are opposite in sign, and that their mass difference changes by 20% in the temperature range 90 MeV < T < 130 MeV, that is the range where the freeze out in relativistic heavy ion collisions is expected to occur. We argue that our results are insensitive to the neglect of 1/N_c- supressed effects; the main purpose of the 1/N_c expansion in this work is to justify our treatment of the decuplet states.
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