RPA puzzle in C(12) weak decay processes

Abstract

We explain the origin of the difficulties that appear in a straightforward application of the QRPA in C(12), and we demonstrate that it is imperative to use the projected QRPA (PQRPA). Satisfactory results, not only for the weak processes among the ground states of the triad B(12),C(12),N(12), but also for the inclusive ones are obtained. We sketch as well a new formalism for the neutrino-nucleus interaction that furnishes very simple final formulae for the muon capture rate and neutrino induced cross sections.

arXiv comment14 pages in LaTex, changes are included in the text, to appear in PLB

References in corpus (13)

• Microscopic theories of neutrino-^{12}C reactions
• Weak reactions on 12C within the Continuum Random Phase Approximation with partial occupancies
• Measurements of Charged Current Reactions of ${\nu }_e$ on ${}^{12}C$
• Measurements of the reactions 12C + nu_e -> e- + 12N g.s. and 12C + nu_e -> e- + 12N
• Muon capture, continuum random phase approximation and in-medium renormalization of the axial-vector coupling constant
• Measurements of the reactions 12C + nu_mue -> mu- + 12N g.s. and 12C + nu_mu -> mue- + 12N
• Neutrino-nucleus reactions on ^{12}C and ^{16}O
• Second Class Current in QCD Sum Rules
• Double Beta Decay in pn-QRPA Model with Isospin and SU(4) Symmetry Constraints
• Nuclear moments for the neutrinoless double beta decay II
• Projected Linear Response Theory for Charge-Exchange Excitations and Double Beta Decay
• Gamma-rays from Muon Capture in ${}^{14}$N
• Nuclear moments for the neutrinoless double beta decay

Cited by in corpus (12)

• Nucleon and hadron structure changes in the nuclear medium and impact on observables
• Excitation of nuclear giant resonances in neutrino scattering off nuclei
• Neutrino and antineutrino charge-exchange reactions on 12C
• Neutrino-Nucleus Reactions and Muon Capture in 12C
• Effect of the bound nucleon form factors on charged-current neutrino-nucleus scattering
• Detection of supernovae neutrinos with neutrino-iron scattering
• Measurement of the cross section for the reaction 127I(neutrino,electron)127Xe_(bound states) with neutrinos from the decay of stopped muons
• QRAP: a numerical code for projected (Q)uasi-particle (RA)ndom (P)hase approximation
• 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
• Neutrino and antineutrino cross sections in ${}^{12}$C
• Neutrino-nucleus reactions in the energy range 1-100 MeV