http://arxiv.org/abs/2212.11184
The recently developed resummation technique known as {\it renormalization group optimized perturbation theory} (RGOPT) is employed in the evaluation of the EoS describing non-strange cold quark matter at NLO. Inspired by recent investigations which suggest that stable quark matter can be made only of up and down quarks, the mass-radius relation for two flavor pure quark stars is evaluated and compared with the predictions from perturbative QCD (pQCD) at NNLO. This comparison explicitly shows that by being imbued with renormalization group properties, and a variational optimization procedure, the method allows for an efficient resummation of the perturbative series. Remarkably, when the renormalization scale is chosen so as to reproduce the mass of pulsar PSR J0740+6620, $M= 2.08\pm 0.07 M_\odot$, one obtains a mass-radius curve which also predicts quite accurate values for the masses and radii of pulsar PSR J0030+0451, and compact object HESS J1731-347. Moreover, the scale dependence of the EoS (and mass-radius relation) obtained with the RGOPT is greatly improved when compared to that of pQCD. This seminal application to the description of quark stars shows that the RGOPT represents a robust alternative to pQCD when describing compressed quark matter.
T. Restrepo, C. Providência and M. Pinto
Thu, 22 Dec 22
30/59
Comments: 13 pages, 5 figures, 2 tables