Strange quark matter in the presence of explicit symmetry breaking interactions

Abstract

It is shown that a first order transition associated with a jump in the strange quark mass appears in a generalized 3 flavour Nambu--Jona-Lasinio (NJL) treatment of quark matter. The generalization of the Lagrangian displays the complete set of spin 0 interactions at leading and subleading orders (LO and NLO) in $\frac{1}{N_c}$counting, including the recently derived NLO explicit chiral symmetry breaking interactions which are of the same order as the 't Hooft flavour determinant. The parameters of the model are tightly constrained by the low energy characteristics in both the pseudoscalar and scalar meson sectors. The transition occurs in a moderate chemical potential region ($\mu \simeq 400\mathrm{MeV}$ for zero temperature) in addition to the usual chiral transition associated with the light quark sector. This feature has at its root the inclusion of the explicit chiral symmetry breaking interactions, which therefore can be seen to act as a catalyst in the production of strange quark matter when compared to the conventional version of the model that takes only into account the 't Hooft interaction in the NLO. It can be traced back to the effect of the interactions which do not violate the Okubo-Zweig-Iizuka rule (OZI), without which the empirical ordering of the scalars ($m_{K^{\star }}<m_{a_0}\approx m_{f_0}$) is not reproduced.

arXiv comment12 pages, 4 figures (11 subfigures). Revised and extended version. Accepted for publication in Phys. Rev. D

References in corpus (51)

• Shapiro delay measurement of a two solar mass neutron star
• A Massive Pulsar in a Compact Relativistic Binary
• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD
• The phase diagram of dense QCD
• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Scalar mesons above and below 1 GeV
• A low-lying scalar meson nonet in a unitarized meson model
• The Minimal CFL-Nuclear Interface
• Putative Light Scalar Nonet
• Insight into the Scalar Mesons from a Lattice Calculation
• High Density QCD and Instantons
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Quark matter under strong magnetic fields in the su(3) Nambu-Jona-Lasinio Model
• Color-flavor locked strange matter
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• Strange quark matter with dynamically generated quark masses
• Critical endpoint in the Polyakov-loop extended NJL model
• Entanglement between deconfinement transition and chiral symmetry restoration
• Global aspects of the scalar meson puzzle
• Polyakov loop extended NJL model with imaginary chemical potential
• Note on a sigma model connection with instanton dynamics
• Multi-quark interactions with a globally stable vacuum
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Deconfinement Phase Transition in Compact Stars : Maxwell vs. Gibbs Construction of the Mixed Phase
• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• Chiral phase transition in an extended NJL model with higher-order multi-quark interactions
• Investigation of Phase Diagram and Bulk Thermodynamic Properties using PNJL Model with Eight-Quark Interactions
• QCD phase diagram at finite baryon and isospin chemical potentials
• Susceptibilities with multi-quark interactions in PNJL model
• Correlation between conserved charges in PNJL Model with multi-quark interactions
• Strong and Radiative Meson Decays in a Generalized Nambu--Jona-Lasinio Model
• Dynamical chiral symmetry breaking by a magnetic field and multi-quark interactions
• U(1) Axial Symmetry and Correlation Functions in the High Temperature Phase of QCD
• The phase diagram for the Nambu--Jona-Lasinio model with 't Hooft and eight-quark interactions
• Heavy hybrid stars from multi-quark interactions
• Generalized Proper-Time Approach For The Case Of Broken Isospin Symmetry
• Lowering the critical temperature with eight-quark interactions
• Large Mass Invariant Asymptotics of the Effective Action
• Thermodynamic potential with correct asymptotics for PNJL model
• Effective multi-quark interactions with explicit breaking of chiral symmetry
• Aspects of U_A(1) breaking in the Nambu and Jona-Lasinio model
• Stationary phase corrections in the process of bosonization of multi-quark interactions
• OZI violating eight-quark interactions as a thermometer for chiral transitions
• Light Quark Masses in Multi-Quark Interactions
• U_A(1) symmetry breaking, scalar mesons and the nucleon spin problem in an effective chiral field theory
• Path Integral Bosonization of the 't Hooft Determinant: Quasiclassical Corrections
• U_A(1) Breaking Effects on the Light Scalar Meson Spectrum
• The effect of dynamical quark mass in the calculation of strange quark star structure

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• Thermodynamical properties of strongly interacting matter in a model with explicit chiral symmetry breaking interactions
• The 3 flavor NJL with explicit symmetry breaking interactions: scalar and pseudoscalar spectra and decays
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