Limiting the Range of Terms Describing Matter in Supernova Cores and Proto Neutron Stars

Physics

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Core collapse of supernovae and formation of proto neutron stars result in the rapid interralated variation of several physical quantities. However, in many studies, various parameters are fixed throughout the calculation. Particularly, the temperature is commonly set at zero. In this work, I specifically allow the temperature, effective nucleon mass, density and nuclear compression modulus to vary within ranges reported in the literature. Of special interest are the unusual results from a lattice calculation recently reported by Muller et. al. [1] showing a dramatic spike centered at a temperature of 14 MeV. Using and extending the analytic model of Baron, Cooperstein and Kahana [2] the influence on various factors such as pressure, adiabatic index and energy of compression are presented. The purpose of this work is to identify topics which may significantly reward more rigerous study. 1. Muller, Koonin, Seki, and van Kolck: Phys. Rev. C61, 044320 (2000). 2. Baron, Cooperstein, and Kahana: Nucl. Phys. A440, 744 (1985); Phys. Rev. Lett. 55, 126 (1985)

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