Probing the hadron mass spectrum in dense two-color QCD with the linear sigma model

Abstract

We investigate modifications of hadron masses at finite quark chemical potential in two-flavor and two-color QCD, of which the data are available from lattice simulations, within a linear sigma model based on approximate Pauli-Gursey $SU(4)$ symmetry. The model describes not only ground-state scalar diquarks and pseudo-scalar mesons but also the excited pseudo-scalar diquarks and scalar mesons; each ground-state diquark (meson) has the corresponding excited diquark (hadron) with opposite parity as a chiral partner. Effects of chiral symmetry breaking and diquark condensates are incorporated by a mean-field treatment. We show that various mixings among the hadrons, which are triggered by the breakdown of baryon number conservation in the superfluid phase, lead to a rich hadron mass spectrum. We discuss the influence of $U(1{)}_A$ anomaly on the density dependence of the mass spectrum and also manifestations of the chiral partner structures as density increases in the superfluid phase. The predicted hadron masses are expected to provide future lattice simulations with useful information on such symmetry properties in dense two-color QCD.

16 pages, 6 figures

References in corpus (22)

• Susceptibilities near the QCD (tri)critical point
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• Deconfinement in dense 2-color QCD
• Towards the phase diagram of dense two-color matter
• Nambu-Jona-Lasinio model description of weakly interacting Bose condensate and BEC-BCS crossover in dense QCD-like theories
• Chiral Lagrangian and spectral sum rules for dense two-color QCD
• Hadron Spectrum in a Two-Colour Baryon-Rich Medium
• Peaks of sound velocity in two color dense QCD: quark saturation effects and semishort range correlations
• Two-colour QCD phases and the topology at low temperature and high density
• Phase-diagram of two-color lattice QCD in the chiral limit
• Single heavy baryons with chiral partner structure in a three-flavor chiral model
• Polyakov SU(3) extended linear $\sigma$-model: Sixteen mesonic states in chiral phase-structure
• Continuum Goldstone spectrum of two-color QCD at finite density with staggered quarks
• The linear sigma model at a finite isospin chemical potential
• Larkin-Ovchinnikov-Fulde-Ferrell state in two-color quark matter
• SU(3) Polyakov Linear $\sigma$-Model in Magnetic Field: Thermodynamics, Higher-Order Moments, Chiral Phase Structure and Meson Masses
• Static magnetic susceptibility in finite-density SU(2) lattice gauge theory
• Chiral phase structure and sixteen meson states in SU(3) Polyakov linear-sigma model at finite temperature and chemical potential in strong magnetic field
• Influence of chiral asymmetry on phase structure of the two-color quark matter
• Suppression of decay widths in singly heavy baryons induced by the $U_A(1)$ anomaly
• Decays of Roper-like singly heavy baryons in a chiral model
• Delineating chiral separation effect in two-color dense QCD

Cited by in corpus (11)

• Fate of the topological susceptibility in two-color dense QCD
• Sound velocity peak induced by the chiral partner in dense two-color QCD
• Thermal effects on sound velocity peak and conformality in isospin QCD
• Axial anomaly effect to the chiral-partner structure of diquarks at high temperature
• Chiral effective model of cold and dense two-color QCD: The linear sigma model approach
• Chiral symmetry restoration in QC_2D from effective model using the functional renormalization group
• Fate of ${\Sigma }_c$, ${\Xi }_c^{\prime }$ and ${\Omega }_c$ baryons at high temperature with chiral restoration
• Enhancement of axial anomaly effects in hot two-color QCD: FRG approach in the linear sigma model
• Speed of sound peak in two-color dense QCD: confronting effective models with lattice data
• Roles of $U(1)$ axial anomaly effects in cold and dense two-color QCD with $2+2$ flavors
• Thermal quarks and Polyakov loops in two-color dense QCD