On diquark clustering in quark—gluon plasma

Strange diquark stars within the framework of an effective phi4theory

“…Also, this shows that strange quarks and antiquarks produced by pair of gluons in the plasma, in fact, lead to the formation of a relatively large number of composite particles containing one or more strange quarks during the subsequent hadronization process. In the context of non-strange hadronic matter, a possibility of the existence of an intermediate phase consisting of quarks, diquarks and gluons, has been the subject of the study of several authors [34][35][36][37][38][39][40] in the recent past. In particular, a preliminary investigation to find out the range of densities in which quark matter could exist in the form of diquark-clusters as primary constituent was carried out by Donoghue and Sateesh (DS) [34].…”

“…In particular, a preliminary investigation to find out the range of densities in which quark matter could exist in the form of diquark-clusters as primary constituent was carried out by Donoghue and Sateesh (DS) [34]. The study was later pursued by Kastor and Traschen (KT) [35] and followed by several other authors [36][37][38][39][40]. The approach suggested by DS, although inspired by the P-matrix method of Jaffe and Low [41], is essentially based on an effective φ 4 theory for diquarks.…”

“…In the present work, in addition to SQM and SQGP, we shall explore the possibility of existence of strange diquark matter and an intermediate phase consisting of strange diquark-quark-gluon plasma. Recently, within the framework suggested by DS, we have studied [39,40] the diquark-diquark (dq-dq) interaction energies in a very general manner using the constituent quark model and a generalized Pauli principle. In this work, we account for all the possible colour-spin states {C, S} of the diquark such as { 3, 0}, { 3, 1}, {6, 0} and {6, 1}, rather than restricting merely to the { 3, 0} diquark state as considered by DS [34].…”

“…In this work, we account for all the possible colour-spin states {C, S} of the diquark such as { 3, 0}, { 3, 1}, {6, 0} and {6, 1}, rather than restricting merely to the { 3, 0} diquark state as considered by DS [34]. Two-diquark colourspin states so constructed have further enabled us to study the variation of the coupling parameter λ responsible for the two-diquark interactions in the effective Lagrangian [34,36,37,39,40]…”

“…These strength parameters are determined in a self-consistent way by fixing the masses of certain baryons in the octet model. Although the prescription and methodology adopted here for the computation of various aspects of SQM, SQGP and strange diquark stars are the same as followed in our earlier works [39,40] for nonstrange case, yet some pertinent points need to be mentioned here for the strange quark case. In a nut-shell our procedure will be as follows.…”