Strange diquark stars within the framework of an effective phi⁴theory

Abstract

We employ the constituent quark model and the generalized Pauli principle to compute the strange diquark interaction energies in quark–gluon plasma within the framework of an effective ϕ4 theory. The cases of strange diquarks (a pair of ss quarks) and hybrid diquarks (a pair of s and u or d quarks) are investigated in great detail. These results are used to derive equations of state for the strange diquark matter. The Tolman–Oppenheimer–Volkoff equations in conjunction with the derived equations of state are solved to obtain the masses and radii of strange diquark stars.

Diquark interactions in quark–gluon plasma and their role in diquark stars

“…This fact is further supported by the nearly constant value of the ratio (M/R) (cf table 6) obtained in the present work for all values of λ. In any case the study of strange stars within this framework which is already in progress [37] could shed further light on these observations.…”

Introduction to Quark-Gluon plasma

“…According to their calculations a two diquark system in which a hybrid diquark is present is energetically more favored than the system in which two hybrid diquarks are present. In another work the same group [87] have repeated the analysis for strange diquark systems and also calculated the EOS for such systems. In general, the results are quite similar to that for the nonstrange case but the magnitudes are comparatively small.…”