Abstract

Spin-M1 excitations of nuclei are important for describing neutrino reactions in supernovae or in neutrino detectors since they are allowed transitions mediated by neutral current neutrino interactions. The spin-M1 excitation strength distributions in self-conjugate N=Z nuclei were studied by proton inelastic scattering at forward angles for each of isovector and isoscalar excitations as reported in H. Matsubara et al., Phys. Rev. Lett. 115, 102501 (2015). The experiment was carried out at the Research Center for Nuclear Physics, Osaka University, employing a proton beam at 295 MeV and the high-resolution spectrometer Grand Raiden. The measured cross-section of each excited state was converted to the squared nuclear matrix elements of spin-M1 transitions by applying a unit cross-section method. Comparison with predictions by a shell-model has revealed that isoscalar spin-M1 strengths are not quenched from the prediction although isovector spin-M1 strengths are quenched similarly with Gamow-Teller strengths in charged-current reactions. This finding hints at an important origin of the quenching of the strength relevant to neutrino scattering, that is, the proton-neutron spin-spin correlation in the ground state of the target nucleus. In this manuscript we present the details of the unit cross-section method used in the data analysis and discuss the consistency between the quenching of the isoscalar magnetic moments and that of the isoscalar spin-M1 strengths.

Highlights

  • Response of nuclei to incoming neutrinos is categorized into two types of reactions: chargedcurrent (CC) and neutral-current (NC)

  • For 24Mg, 28Si, 32S, and 36Ar, we identified 1–4 (4–8) states in each target nucleus corresponding to the IS (IV) spin-M1 transitions

  • Spin-M1 excitation in nuclei is important for the study of NC neutrino reactions in astrophysical phenomena and in neutrino detectors

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Summary

INTRODUCTION

Response of nuclei to incoming neutrinos is categorized into two types of reactions: chargedcurrent (CC) and neutral-current (NC). In the work of Matsubara et al (2015), IS and IV spin-M1 excitation strength distributions were individually determined by a high-resolution proton inelastic scattering experiment at zero degrees and forward angles for selfconjugate even-even nuclei from 12C to 36Ar. The squared nuclear matrix element of each transition was extracted from the observed differential cross-section by using the unit cross-section method.

Nuclear Magnetic Moment
M1 Transition Strength
Squared Nuclear Matrix Element
Relation to Gamow-Teller Excitation
Total Spin Correlation in Ground State
EXPERIMENT
Assignment of Spin-M1 Excitations
Definition
Derivation From Experiment
Results of Unit Cross-Section
Model Study
Strength Distribution
Isoscalar Magnetic Moments
Proton-Neutron Spin-Spin Correlation in the Ground State
SUMMARY
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