Neutrino-Nucleus Reactions and Muon Capture in 12C

Abstract

The neutrino-nucleus cross section and the muon capture rate are discussed within a simple formalism which facilitates the nuclear structure calculations. The corresponding formulae only depend on four types of nuclear matrix elements, which are currently used in the nuclear beta decay. We have also considered the non-locality effects arising from the velocity-dependent terms in the hadronic current. We show that for both observables in 12C the higher order relativistic corrections are of the order of ~5 only, and therefore do not play a significant role. As nuclear model framework we use the projected QRPA (PQRPA) and show that the number projection plays a crucial role in removing the degeneracy between the proton-neutron two quasiparticle states at the level of the mean field. Comparison is done with both the experimental data and the previous shell model calculations. Possible consequences of the present study on the determination of the ${\nu }_{\mu }->{\nu }_e$ neutrino oscillation probability are briefly addressed.

arXiv comment29 pages, 6 figures, Revtex4. Several changes were made to the previous manuscript, the results and final conclusions remain unalterable. It has been accepted for publication as a Regular Article in Physical Review C

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Cited by in corpus (16)

• Semi-relativistic description of quasielastic neutrino reactions and superscaling in a continuum shell model
• Inclusive charged-current neutrino-nucleus reactions calculated with the relativistic quasiparticle random phase approximation
• Excitation of nuclear giant resonances in neutrino scattering off nuclei
• Neutrino and antineutrino charge-exchange reactions on 12C
• Detection of supernovae neutrinos with neutrino-iron scattering
• Low-lying magnetic excitations of doubly-closed-shell nuclei and nucleon-nucleon effective interactions
• Large-scale calculations of supernova neutrino-induced reactions in Z=8-82 target nuclei
• Gross Theory Model for Neutrino-Nucleus Cross Section
• Muon capture on light isotopes in Double Chooz
• QRAP: a numerical code for projected (Q)uasi-particle (RA)ndom (P)hase approximation
• A Nuclear Structure Model for Double Charge-Exchange Processes
• Equivalence between local Fermi gas and shell models in inclusive muon capture from nuclei
• A Reanalysis of the LSND Neutrino Oscillation Experiment
• Pairing Correlations in Odd-Mass Carbon Isotopes and Effect of Pauli Principle in Particle-Core Coupling in 13C and 11Be
• Nonmesonic Weak Decay Dynamics from proton spectra of $\Lambda$-Hypernuclei
• Neutrino and antineutrino cross sections in ${}^{12}$C