Spin-isospin symmetry in nuclear physics

Gaponov, Yu. V.; Vladimirov, D. M.; Bang, J.

doi:10.1007/bf03053666

Cited by 5 publications

(1 citation statement)

References 30 publications

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“…This occurs in a variety of physical situations in nature. In nuclear physics, an atomic nucleus is composed of protons and neutrons with two spin states, entailing an approximate spin-isospin symmetry [12]. In ultracold atomic systems, SU(N )-symmetric ultracold Fermi gases have been experimentally realized [13].…”

Section: Introductionmentioning

confidence: 99%

Nonrelativistic Banks-Casher relation and random matrix theory for multicomponent fermionic superfluids

Kanazawa

Yamamoto

2016

Phys. Rev. D

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We apply QCD-inspired techniques to study nonrelativistic N -component degenerate fermions with attractive interactions. By analyzing the singular-value spectrum of the fermion matrix in the Lagrangian, we derive several exact relations that characterize the spontaneous symmetry breaking U(1) × SU(N ) → Sp(N ) through bifermion condensates. These are nonrelativistic analogues of the Banks-Casher relation and the Smilga-Stern relation in QCD. Non-local order parameters are also introduced and their spectral representations are derived, from which a nontrivial constraint on the phase diagram is obtained. The effective theory of soft collective excitations is derived and its equivalence to random matrix theory is demonstrated in the ε-regime. We numerically confirm the above analytical predictions in Monte Carlo simulations.

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Section: Introductionmentioning

confidence: 99%

Nonrelativistic Banks-Casher relation and random matrix theory for multicomponent fermionic superfluids

Kanazawa

Yamamoto

2016

Phys. Rev. D

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Structure of beta-decay strength function S_β(E) and quenching of axial-vector weak interaction constant in halo nuclei

Izosimov

2020

EPJ Web Conf.

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Resonance structure of the beta decay strength function Sβ (E) for GT β--decay of halo nuclei 6He and 11Li is analyzed. Compare experimental total strength for β-transitions in gv2/4π units with the Ikeda sum rule (in (gAeff)2/4π units) one can determine the squared ratio of axial-vector and vector weak interaction constants value (g eff/gV)2. We obtained (g eff/gv)1 = 1.272 ± 0.010 for 6He and (gA eff/gv)2 = 1.5±0.2 for 11Li β--decays. Quenching of the weak axial-vector constant gAeff in halo nuclei is discussed. Analysis of the evolution of EGTR - EIAS toward neutron-rich nuclei was done. It is shown that the value Z/N ≈ 0.6 corresponds to the SU(4) Wigner's spin-isospin symmetry region.

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Interaction of electron neutrinos with 56Fe in the LSD for E ⊻ ≤50 MeV

2004

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Spin-isospin symmetry in nuclear physics

Cited by 5 publications

References 30 publications

Nonrelativistic Banks-Casher relation and random matrix theory for multicomponent fermionic superfluids

Nonrelativistic Banks-Casher relation and random matrix theory for multicomponent fermionic superfluids

Structure of beta-decay strength function S_β(E) and quenching of axial-vector weak interaction constant in halo nuclei

Interaction of electron neutrinos with 56Fe in the LSD for E ⊻ ≤50 MeV

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Spin-isospin symmetry in nuclear physics

Cited by 5 publications

References 30 publications

Nonrelativistic Banks-Casher relation and random matrix theory for multicomponent fermionic superfluids

Nonrelativistic Banks-Casher relation and random matrix theory for multicomponent fermionic superfluids

Structure of beta-decay strength function Sβ(E) and quenching of axial-vector weak interaction constant in halo nuclei

Interaction of electron neutrinos with 56Fe in the LSD for E ⊻ ≤50 MeV

Contact Info

Product

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Structure of beta-decay strength function S_β(E) and quenching of axial-vector weak interaction constant in halo nuclei