Chiral density wave in nuclear matter

Abstract

Inspired by recent work on inhomogeneous chiral condensation in cold, dense quark matter within models featuring quark degrees of freedom, we investigate the chiral density-wave solution in nu- clear matter at zero temperature and nonvanishing baryon number density in the framework of the so-called extended linear sigma model (eLSM). The eLSM is an effective model for the strong interaction based on the global chiral symmetry of quantum chromodynamics (QCD). It contains scalar, pseudoscalar, vector, and axial-vector mesons as well as baryons. In the latter sector, the nucleon and its chiral partner are introduced as parity doublets in the mirror assignment. The eLSM simultaneously provides a good description of hadrons in vacuum as well as nuclear matter ground-state properties. We find that an inhomogeneous phase in the form of a chiral density wave is realized, but only for densities larger than 2.4 ρ0, where ρ0 is the nuclear matter ground-state density.

5 pages, 3 figures

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Cited by in corpus (39)

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• Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
• Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in framework of effective model
• A Three-Flavor Chiral Effective Model with Four Baryonic Multiplets within the Mirror Assignment
• Low-energy limit of the $O(4)$ quark-meson model from the functional renormalization group approach
• Casimir effect for nucleon parity doublets
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• Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model
• Mirror versus naive assignment in chiral models for the nucleon
• Inhomogeneous quark condensate in compressed skyrmion matter
• Influence of the axial anomaly on the decay $N(1535)\to N\eta$
• Decays of the vector glueball
• Solitonic modulation and Lifshitz point in an external magnetic field within Nambu--Jona-Lasinio model
• A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure
• Appearance of novel modes of $\bar{D}$ mesons in the Dual Chiral Density Wave
• SUSY with R-symmetry: confronting EW precision observables and LHC constraints
• The fate of the critical endpoint at large $N_c$
• How tetraquarks can generate a second chiral phase transition
• Chiral crystallization in an external magnetic background - Chiral spiral versus Real kink crystal -
• SU(3) parity doubling in cold neutron star matter
• Chiral density wave versus pion condensation in the 1+1 dimensional NJL model
• Masses of Heavy and Light Scalar Tetraquarks in a Non-Relativistic Quark Model
• Consistent regularization and renormalization in models with inhomogeneous phases
• Is $f_2(1950)$ the tensor glueball?
• Dual chiral density waves in nuclear matter
• Neutron stars in the large-$N_c$ limit
• Dual chiral density wave induced oscillating Casimir effect
• Time-dependent Ginzburg-Landau approach to the dynamics of inhomogeneous chiral condensates in a nonlocal Nambu--Jona-Lasinio model
• Role of scalar dibaryon and $f_0(500)$ in the isovector channel of low-energy neutron-proton scattering
• Chiral condensates for neutron stars in hadron-quark crossover; from a parity doublet nucleon model to an NJL quark model
• Exact Wigner function for chiral spirals
• Detecting inhomogeneous chiral condensation from the bosonic two-point function in the $(1+1)$-dimensional Gross-Neveu model in the mean-field approximation
• Chiral-Imbalance Density Wave in Baryonic Matters
• The eLSM at nonzero density
• Three-flavor chiral effective model with four baryonic multiplets within the mirror assignment