Impacts of the 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="normal">U</mml:mi><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow><mml:mi>A</mml:mi></mml:msub></mml:math>
 anomaly on nuclear and neutron star equation of state based on a parity doublet model

Bikai, Gao,; Takuya, Minamikawa,; Kojo, Toru; Harada, Masayasu

doi:10.1103/physrevc.106.065205

Cited by 8 publications

(7 citation statements)

References 80 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section, we review the construction of the PDM in Ref. [67]. The fields appearing in the Lagrangian are the linear realization of chiral symmetry, classified by the chiral representation as (SU(3) L , SU(3) R ) U(1) A .…”

Section: Hadronic Matter From a Parity Doublet Modelmentioning

confidence: 99%

“…In the analysis performed in Refs. [66][67][68], hadronic models are used only up to 2n 0 with the assumption that the hyperons are not populated. Therefore, although the mesonic sector includes three-flavors, we include only nucleons in the baryon sector.…”

Section: Nucleon Parity Doublet and Vector Mesonsmentioning

confidence: 99%

“…This article is mostly a review of our works, Refs. [66][67][68], and it also presents improvements to the analyses of Refs. [66,68] with the up-to-date version of our PDM.…”

Section: Introductionmentioning

confidence: 99%

“…Later, in Ref. [67], we updated the PDM by adding the U(1) A anomaly effects, or the Kobayashi-Maskawa-'t Hooft (KMT) interactions [69], to the meson sector. Even though we stop using the PDM at 2n 0 before hyperons appear, the strangeness does affect the chiral condensates in the up-and down-sectors through the KMT interactions.…”

Section: Introductionmentioning

confidence: 99%

“…In Section 2, we first review the PDM with mesonic potentials in Ref. [67] and show how to constrain the model parameters to satisfy the hadron properties in a vacuum and the saturation properties in nuclear matter. Section 3 is the review of quark matter construction.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Chiral Restoration of Nucleons in Neutron Star Matter: Studies Based on a Parity Doublet Model

et al. 2023

Self Cite

View full text Add to dashboard Cite

We review the chiral variant and invariant components of nucleon masses and the consequence of their existence on the chiral restoration in extreme conditions, particularly in neutron star matter. We consider a model of linear realization of chiral symmetry with the nucleon parity doublet structure that permits the chiral invariant mass, m0, for positive and negative parity nucleons. The nuclear matter is constructed with the parity doublet nucleon model coupled to scalar fields σ, vector fields (ω,ρ), and mesons with strangeness through the U(1)A anomaly. In models with a large m0, the nucleon mass is insensitive to the medium, and the nuclear saturation properties can be reproduced without demanding strong couplings of the nucleons to the scalar fields σ and vector fields ω. We confront the resulting nuclear equations of state with nuclear constraints and neutron star observations and delineate the chiral invariant mass and effective interactions. To further examine the nuclear equations of state beyond the saturation density, we supplement quark models to set the boundary conditions from the high-density side. The quark models are constrained by the two-solar-mass conditions, and such constraints are transferred to nuclear models through the causality and thermodynamic stability conditions. We also calculate various condensates and the matter composition from nuclear to quark matter in a unified matter by constructing a generating functional that interpolates the nuclear and quark matter with external fields. Two types of chiral restoration are discussed: one due to the positive scalar charges of nucleons and the other triggered by the evolution of the Dirac sea. We found that the U(1)A anomaly softens equations of state from low to high density.

show abstract

Section: Hadronic Matter From a Parity Doublet Modelmentioning

confidence: 99%

Section: Nucleon Parity Doublet and Vector Mesonsmentioning

confidence: 99%

“…This article is mostly a review of our works, Refs. [66][67][68], and it also presents improvements to the analyses of Refs. [66,68] with the up-to-date version of our PDM.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations