Study of pion condensate in nuclear matter based on a Parity Doublet Model
Abstract
In this work, we investigate the possibility of pion condensate in isospin-asymmetric nuclear matter within a parity doublet model at zero temperature, treating the baryon and isospin chemical potentials as independent variables. We include the σ, π, ω, and ρ mesons and determine their mean fields from the gap equations. We introduce a novel subtraction scheme to calculate the thermodynamic potential in the no-sea approximation, in which the effective isospin chemical potential is retained in the subtraction term to remove the divergence. We find that the presence of baryons suppresses pion condensate, and that transition to the pion condensation phase is of second order. We further find that the phase boundary depends systematically on the chiral-invariant mass m0: a smaller m0 requires a larger critical isospin chemical potential for pion condensate. The presence of pion condensate also shifts the nuclear Liquid-Gas phase boundary toward larger baryon chemical potentials. Finally we study the existence of pion condensation phase in neutron star matter and find that pion condensate is unlikely to occur.
Related
- Chiral invariant mass and scale symmetry in dense matter from a dilaton compensated parity doublet model
- LZ nuclear recoil event from inelastic singlet-doublet scalar dark matter
- One-nucleon intermediate-state contribution to the pion-coupled four-quark condensate in the N--J/ψ interaction
- Search for the 229Pa Parity Doublet via Internal-Conversion Spectroscopy at FRIB
- Effects of the a0(980) Meson on Finite Nuclei in a Parity Doublet Model
BibTeX
@misc{liu2026study,
title = {{Study of pion condensate in nuclear matter based on a Parity Doublet Model}},
author = {Xiang Liu and Bikai Gao and Masayasu Harada},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.00851},
eprint = {2611.00851},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.00851},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Study of pion condensate in nuclear matter based on a Parity Doublet Model
AU - Xiang Liu
AU - Bikai Gao
AU - Masayasu Harada
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.00851
UR - https://arxiv.org/abs/2611.00851
AB - In this work, we investigate the possibility of pion condensate in isospin-asymmetric nuclear matter within a parity doublet model at zero temperature, treating the baryon and isospin chemical potentials as independent variables. We include the σ, π, ω, and ρ mesons and determine their mean fields from the gap equations. We introduce a novel subtraction scheme to calculate the thermodynamic potential in the no-sea approximation, in which the effective isospin chemical potential is retained in the subtraction term to remove the divergence. We find that the presence of baryons suppresses pion condensate, and that transition to the pion condensation phase is of second order. We further find that the phase boundary depends systematically on the chiral-invariant mass m_0: a smaller m_0 requires a larger critical isospin chemical potential for pion condensate. The presence of pion condensate also shifts the nuclear Liquid-Gas phase boundary toward larger baryon chemical potentials. Finally we study the existence of pion condensation phase in neutron star matter and find that pion condensate is unlikely to occur.
ER -