Pion properties at finite nuclear density based on in-medium chiral perturbation theory

Goda, Soichiro

doi:10.1093/ptep/ptu023

Cited by 18 publications

(13 citation statements)

References 40 publications

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“…The non-trivial part of the corresponding curve starts at n = n 0 because of the first-order liquidgas transition. For comparison, the first-order (mean-field) approximation in the density expansion is shown, together with a recent in-medium chiral perturbation theory computation [136]. In agreement with ChEFT and phenomenology, we find an enhancement of the pion mass by about ten percent at nuclear saturation density.…”

Section: Pion Mass In Nuclear Mattersupporting

confidence: 78%

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Functional renormalization group studies of nuclear and neutron matter

Drews

Weise

2017

Progress in Particle and Nuclear Physics

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Functional renormalization group (FRG) methods applied to calculations of isospinsymmetric and asymmetric nuclear matter as well as neutron matter are reviewed. The approach is based on a chiral Lagrangian expressed in terms of nucleon and meson degrees of freedom as appropriate for the hadronic phase of QCD with spontaneously broken chiral symmetry. Fluctuations beyond mean-field approximation are treated solving Wetterich's FRG flow equations. Nuclear thermodynamics and the nuclear liquid-gas phase transition are investigated in detail, both in symmetric matter and as a function of the proton fraction in asymmetric matter. The equations of state at zero temperature of symmetric nuclear matter and pure neutron matter are found to be in good agreement with advanced ab-initio many-body computations. Contacts with perturbative many-body approaches (in-medium chiral perturbation theory) are discussed. As an interesting test case, the density dependence of the pion mass in the medium is investigated. The question of chiral symmetry restoration in nuclear and neutron matter is addressed. A stabilization of the phase with spontaneously broken chiral symmetry is found to persist up to high baryon densities once fluctuations beyond mean-field are included. Neutron star matter including beta equilibrium is discussed under the aspect of the constraints imposed by the existence of two-solar-mass neutron stars.

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Section: Pion Mass In Nuclear Mattersupporting

confidence: 78%

“…Empirically, V opt 0.1 m π at n n 0 = 0.17 fm −3 from the analysis of pionic atoms. The importance of the double-scattering contribution of order n 4/3 to the in-medium pion mass is, of course, realized also in the chiral effective field theory approach [137,138,136].…”

Section: Pion Mass In Nuclear Mattermentioning

confidence: 99%

Functional renormalization group studies of nuclear and neutron matter

Drews

Weise

2017

Progress in Particle and Nuclear Physics

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“…The non-trivial part of the corresponding curve starts at n = n 0 because of the first-order liquidgas transition. For comparison, the first-order (mean-field) approximation in the density expansion is shown, together with a recent in-medium chiral perturbation theory computation [50]. In agreement with ChEFT and phenomenology, we find an enhancement of the pion mass by about ten percent at nuclear saturation density.…”

Section: Pion Mass In the Nuclear Mediumsupporting

confidence: 78%

“…Empirically, V opt ≃ 0.1 m π at n ≃ n 0 = 0.16 fm −3 from the analysis of pionic atoms. The importance of the double-scattering contribution of order n 4/3 to the in-medium pion mass is, of course, realized also in the chiral effective field theory approach [50][51][52]. In Fig.…”

Section: Pion Mass In the Nuclear Mediummentioning

confidence: 90%

From asymmetric nuclear matter to neutron stars: A functional renormalization group study

Drews

Weise

2015

Phys. Rev. C

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A previous study of nuclear matter in a chiral nucleon-meson model is extended to isospin-asymmetric matter. Fluctuations beyond mean-field approximation are treated in the framework of the functional renormalization group. The nuclear liquid-gas phase transition is investigated in detail as a function of the proton fraction in asymmetric matter. The equations of state at zero temperature of both symmetric nuclear matter and pure neutron matter are found to be in good agreement with realistic many-body computations. We also study the density dependence of the pion mass in the medium. The question of chiral symmetry restoration in neutron matter is addressed; we find a stabilization of the phase with spontaneously broken chiral symmetry once fluctuations are included. Finally, neutron star matter including beta equilibrium is discussed. The model satisfies the constraints imposed by the existence of two-solar-mass neutron stars.

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“…As next steps, we like to proceed our studies to determine more accurate values and density dependence of the chiral condensate beyond a linear density approximation [5,6], and to extend our knowledge of the aspects of the symmetry to that in asymmetric nuclear matter. However, at present, the observed nuclear density probed by pionic atoms is known to be only limited at 0.6ρ 0 [7].…”

Section: Introductionmentioning

confidence: 99%

Formation of Deeply Bound Pionic Atoms and Pion Properties in Nuclei

Ikeno

Yamagata-Sekihara

Nagahiro

et al. 2017

Proceedings of the 14th International Conference on Meson-Nucleon Physics and the Structure of the Nucleon (MENU2016)

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We report the recent theoretical studies for the formation of deeply bound pionic atoms. It is important to know the pion properties in nuclei since they are believed to provide valuable information on the aspects of the symmetry of strong interaction at finite density. In order to deduce precise information on the pion properties in nuclei from observables of the deeply bound pionic atom, we consider the pionic atom formation on the even-even and neutron-odd nucleus targets. Furthermore, we also calculate the formation spectra using the Green's function method. Theoretical results using the Green's function method will be necessary to investigate the high precision data which will be obtained in near future.

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Pion properties at finite nuclear density based on in-medium chiral perturbation theory

Cited by 18 publications

References 40 publications

Functional renormalization group studies of nuclear and neutron matter

Functional renormalization group studies of nuclear and neutron matter

From asymmetric nuclear matter to neutron stars: A functional renormalization group study

Formation of Deeply Bound Pionic Atoms and Pion Properties in Nuclei

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