Isoscalar and Isovector spin response in $sd-$ shell nuclei

Abstract

The spin magnetic dipole transitions and the neutron-proton spin-spin correlations in $sd-$shell even-even nuclei with $N=Z$ are investigated using shell model wave functions taking into accout enhanced isoscalar (IS) spin-triplet pairing as well as the effective spin operators. It was shown that the IS pairing and the effective spin operators gives a large quenching effect on the IV spin transitions to be consistent with observed data by $(p,p^{\prime })$ experiments. On the other hand, the observed IS spin strength show much smaller quenching effect than expected by the calculated results. The IS pairing gives a substantial quenching effect on the spin magnetic dipole transitions, especially on the isovector (IV) ones. Consequently, an enhanced isoscalar spin-triplet pairing interaction enlarges the proton-neutron spin-spin correlation deduced from the difference between the isoscalar (IS) and the IV sum rule strengths. The beta-decay rates and the IS magnetic moments of $sd-$shell are also examined in terms of the IS pairing as well as the effective spin operators.

arXiv comment13pages, 12figures, 3tables. arXiv admin note: text overlap with arXiv:1607.05881

References in corpus (22)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• New effective interaction for $pf$-shell nuclei and its implications for the stability of the $N$=$Z$=28 closed core
• Effective interaction for pf-shell nuclei
• Effects of Strong and Electromagnetic Correlations on Neutrino Interactions in Dense Matter
• Advanced burning stages and fate of 8-10 Mo stars
• The Effects of Correlations on Neutrino Opacities in Nuclear Matter
• Shell-model study of boron, carbon, nitrogen and oxygen isotopes based on monopole-based-universal interaction
• Spin susceptibility of neutron matter at zero temperature
• Supernova Inelastic Neutrino-Nucleus Cross Sections from High-Resolution Electron Scattering Experiments and Shell-Model Calculations
• Determination of the Gamow-Teller Quenching Factor from Charge Exchange Reactions on 90Zr
• Neutrino Nucleus Reactions based on New Shell Model Hamiltonians
• Effects of Inelastic Neutrino-Nucleus Scattering on Supernova Dynamics and Radiated Neutrino Spectra
• Analytic continuation of single-particle resonance energy and wave function in relativistic mean field theory
• Electron capture and beta-decay rates for sd-shell nuclei in stellar environments relevant to high density O-Ne-Mg cores
• Isovector spin-singlet (T=1, S=0) and isoscalar spin-triplet (T=0, S=1) pairing interactions and spin-isospin response
• Role of T=0 pairing in Gamow-Teller states in N=Z nuclei
• Three-body model calculations for N=Z odd-odd nuclei with T=0 and T=1 pairing correlations
• Magnetic susceptibility and magnetization properties of asymmetric nuclear matter under a strong magnetic field
• Spin Response and Neutrino Emissivity of Dense Neutron Matter
• Neutron-proton pairing and double-beta decay in the interacting boson model
• Effect of isoscalar spin-triplet pairings on spin-isospin responses in $sd-$ shell nuclei
• Effects of T=0 two body matrix elements on M1 and Gamow-Teller transitions: isospin decomposition

Cited by in corpus (4)

• Electric and magnetic dipole modes in high-resolution inelastic proton scattering at $0^{\circ }$
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• Competition of deformation and neutron-proton pairing in Gamow-Teller transitions for ${}^{56,58}$Ni and ${}^{62,64}$Ni
• Isoscalar, isovector and orbital contributions in $M1$ transitions from analogous $M1$ and Gamow-Teller transitions in $T=\frac{1}{2}$ mirror nuclei