Within the framework of the constituent quark model and a generalized Pauli principle, the diquark interaction energies in quark–gluon plasma are explicitly calculated. In particular, two-diquark interaction energies are computed using ϕ4-terms in the effective Lagrangian in the spirit of the Donoghue and Sateesh model (1988 Phys. Rev. D 38 360). We also account for the extended character of the diquark. These results are used to determine the coupling strengths for a variety of colour–spin two-diquark states. Equations of state for the diquark matter for a variety of cases are derived and subsequently the Tolman–Oppenheimer–Volkoff equations for the masses and radii of diquark stars are solved. In this work, we restrict ourselves to the study of only the non-strange version of diquarks.
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.
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