Chiral condensate in neutron matter

Abstract

A recent chiral perturbation theory calculation of the in-medium quark condensate $<\bar{q}q>$ is extended to the isospin-asymmetric case of pure neutron matter. In contrast to the behavior in isospin-symmetric nuclear matter we find only small deviations from the linear density approximation. This feature originates primarily from the reduced weight factors (e.g. 1/6 for the dominant contributions) of the $2\pi$-exchange mechanisms in pure neutron matter. Our result suggests therefore that the tendencies for chiral symmetry restoration are actually favored in systems with large neutron excess (e.g. neutron stars). We also analyze the behavior of the density-dependent quark condensate $<\bar{q}q>({\rho }_n)$ in the chiral limit $m_{\pi }\to 0$.

8 pages, 5 figures

References in corpus (13)

• The equation of state for nucleon matter and neutron star structure
• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD Equation of State with almost Physical Quark Masses
• Nuclear Force from Lattice QCD
• The transition temperature in QCD
• Chiral Dynamics and Nuclear Matter
• In-medium chiral perturbation theory beyond the mean-field approximation
• Chiral approach to nuclear matter: Role of two-pion exchange with virtual delta-isobar excitation
• In-medium chiral condensate beyond linear density approximation
• Relativistic nuclear model with point-couplings constrained by QCD and chiral symmetry
• Relativistic nuclear energy density functional constrained by low-energy QCD
• Chiral condensate thermal evolution at finite baryon chemical potential within Chiral Perturbation Theory
• Nuclear matter in the chiral limit and the in-medium chiral condensate

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• Probing the Nuclear Symmetry Energy with Heavy Ion Collisions
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• From asymmetric nuclear matter to neutron stars: a functional renormalization group study
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• The QCD Axion at Finite Density
• Excluded-volume model for quarkyonic matter II: Three-flavor shell-like distribution of baryons in phase space
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• Density dependence of the quark condensate in isospin-asymmetric nuclear matter
• From QCD Symmetries to Nuclei and Neutron Stars
• Dense Baryonic Matter and Strangeness in Neutron Stars
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