Half-Skyrmions and the equation of state for compact-star matter

Dong, H.; Kuo, T.T.S.; Lee, Hyun Kyu; Machleidt, R.; Rho, Mannque

doi:10.1103/physrevc.87.054332

Cited by 35 publications

(94 citation statements)

References 57 publications

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“…Recently, the study of parity doublet structure using lattice QCD [33] shows that the positive parity nucleon mass changes very small near the deconfinement transition, which may imply that m 0 does exist in nature and its value is close to the positive parity nucleon mass. The existence of chiral invariant mass is also discussed in the context of Skyrmion crystal [34].…”

Section: Phase Diagrammentioning

confidence: 99%

Asymmetric nuclear matter in a parity doublet model with hidden local symmetry

Motohiro¹,

Kim²,

Harada³

2015

Phys. Rev. C

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We construct a model to describe dense hadronic matter at zero and finite temperature, based on the parity doublet model of DeTar and Kunihiro, with including the iso-singlet scalar meson σ as well as ρ and ω mesons. We show that, by including a six-point interaction of σ meson, the model reasonably reproduces the properties of the normal nuclear matter with the chiral invariant nucleon mass m0 in the range from 500 MeV to 900 MeV. Furthermore, we study the phase diagram based on the model, which shows that the value of the chiral condensate drops at the liquid-gas phase transition point and at the chiral phase transition point. We also study asymmetric nuclear matter and find that the first order phase transition for the liquid-gas phase transition disappears in asymmetric matter and that the critical density for the chiral phase transition at non-zero density becomes smaller for larger asymmetry.

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Section: Phase Diagrammentioning

confidence: 99%

Asymmetric nuclear matter in a parity doublet model with hidden local symmetry

Motohiro¹,

Kim²,

Harada³

2015

Phys. Rev. C

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“…Now a comment on the role of a non-zero chiral invariant mass m 0 in nuclear physics. When nuclear matter is described in effective field theory anchored on the low-momentum nuclear interaction V low−k derived via Wilsonian renormalization group equations, how the nucleon mass scales in medium as a function of density turns out to be quite important for the structure of finite nuclei as well as nuclear matter [28,29]. The presence of a substantially big m 0 as is found in some analysis in medium [22] would affect crucially how the nucleon mass scales in density in such effective field theory approach to nuclei, nuclear matter and dense compact-star matter.…”

Section: Remarks and Conclusionmentioning

confidence: 99%

Dilaton-limit fixed point in hidden local symmetric parity doublet model

et al. 2012

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We study nucleon structure with positive and negative parities using a parity doublet model endowed with hidden local symmetry (HLS) with the objective to probe dense baryonic matter. The model -that we shall refer to as "PDHLS model" for short -allows a chiralinvariant mass of the nucleons unconnected to spontaneously broken chiral symmetry which comes out to be m 0 ∼ 200 MeV at tree level from fitting to the decay width of the parity doubler, N(1535), to nucleon-pion and nucleon axial coupling g A = 1.267. The presence of a substantial m 0 that remains non-vanishing at chiral restoration presents a deep issue for the origin of the nucleon mass as well as will affect nontrivially the equation of state for dense baryonic matter relevant for compact stars. We construct a chiral perturbation theory at one-loop order and explore the phase structure of the model using renormalization group equations. We find a fixed point that we identify with the "dilaton limit" at which the HLS vector mesons decouple from the nucleons. We suggest that cold baryonic system will flow to this limit either before or at reaching the vector manifestation fixed point of hidden local symmetry theory as density increases toward that of chiral restoration. *

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“…Though not firm, this feature is not inconsistent with what is observed with the EoS of compact-star matter [22]. This means that the ω meson-exchange contribution to the Weinberg-Tomozawa term in medium will be the same as the local form in the vacuum.…”

Section: Hidden Local Symmetry With Scale Invariancementioning

confidence: 51%

“…As in Appendix A, we refer to (22) as "case 1" and (23) as "case 2". From (21), we get for the two cases of possible scaling:…”

Section: Scalingmentioning

confidence: 99%

Kaon condensation in baryonic Fermi liquid at high density

Paeng

Rho

2015

Phys. Rev. C

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We formulate kaon condensation in dense baryonic matter with anti-kaons fluctuating from the Fermi-liquid fixed point. This entails that in the Wilsonian RG approach, the decimation is effectuated in the baryonic sector to the Fermi surface while in the meson sector to the origin. In writing the kaon-baryon (KN) coupling, we will take a generalized hidden local symmetry Lagrangian for the meson sector endowed with a "mended symmetry" that has the unbroken symmetry limit at high density in which the Goldstone π, scalar s, and vectors ρ (and ω) and a 1 become massless. The vector mesons ρ (and ω) and a 1 can be identified as emergent (hidden) local gauge fields and the scalar s as the dilaton field of the spontaneously broken scale invariance at chiral restoration. In matter-free space, when the vector mesons and the scalar meson -whose masses are much greater than that of the pion -are integrated out, then the resulting KN coupling Lagrangian consists of the leading chiral order (O(p 1 )) Weinberg-Tomozawa term and the next chiral order (O(p 2 )) Σ KN term. In addressing kaon condensation in dense nuclear matter in chiral perturbation theory (ChPT), one makes an expansion in the "small" Fermi momentum k F . We argue that in the Wilsonian RG formalism with the Fermi-liquid fixed point, the expansion is on the contrary in 1/k F with the "large" Fermi momentum k F . The kaon-quasinucleon interaction resulting from integrating out the massive mesons consists of a "relevant" term from the scalar exchange (analog to the Σ KN term) and an "irrelevant" term from the vector-meson exchange (analog to the WeinbergTomozawa term). It is found that the critical density predicted by the latter approach, controlled by the relevant term with the irrelevant term suppressed, is three times less than that predicted by chiral perturbation theory. This would make kaon condensation take place at a much lower density than previously estimated in chiral perturbation theory.

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Half-Skyrmions and the equation of state for compact-star matter

Cited by 35 publications

References 57 publications

Asymmetric nuclear matter in a parity doublet model with hidden local symmetry

Asymmetric nuclear matter in a parity doublet model with hidden local symmetry

Dilaton-limit fixed point in hidden local symmetric parity doublet model

Kaon condensation in baryonic Fermi liquid at high density

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