Study of Proto Strange Stars in Temperature and Density Dependent Quark Mass Model

Abstract

We report on the study of the mass-radius (M -R) relation and the radial oscillations of proto strange stars. For the quark matter we have employed the very recent modification, the temperature and density dependent quark mass model of the well known density dependent quark mass model. We find that the maximum mass the star can support increases significantly with the temperature of the star in this model which implies that transition to a black hole at the early stage of formation of the star is inhibited. As for the effect of the neutrinos, we find, contrary to expectation, that the values of mass, radius and oscillation frequencies are almost independent of the neutrino chemical potentials.

Soliton solutions of an improved quark mass density-dependent model at finite temperature

“…The equation of state of QMDTD model are used to study the properties of strange quark star in Refs. [19] [20] and the results are successful. To the second difficulty, as a first step, Ref.…”

“…For investigating the stability of solion at different temperatures, it is necessary to calculate the total energy of the system at various temperatures by using Eq. (19), accordingly the relevant classical potential function U (σ) should be replaced by the temperature-dependent effective potential V (σ; β). In Fig.9, We plot the total energy of the system (soliton mass or energy) as functions of temperature for 0 ≤ T ≤ T C , whereE 0 is the soltion energy at zero temperature.…”

Improved density-dependent quark mass model with quark-σ meson and quark-ω meson couplings

“…and when T T C , m q = 0, m s,s = m s0 , This quark mass density-and temperature-dependent model (QMDTD) has been employed to discuss the properties of strange quark matter [14,16], the dibaryon system [19], and the strange quark star [20,21]. Instead of the correspondence of MIT bag to the QMDD model, we have proved that QMDTD model mimicks the Freidberg-Lee (FL) soliton bag model [22,23].…”

Thermodynamics with density and temperature dependent particle masses and properties of bulk strange quark matter and strangelets

“…This extension of the model has soon been applied to the study of strangelets [41,42,43], dibaryons [44], and proto strange stars [45], etc..…”