Inclusive muon capture in light nuclei

Mukhopadhyay, Nimai C.; Chiang, H. C.; Singh, Sweta; Oset, E.

doi:10.1016/s0370-2693(98)00790-4

Cited by 19 publications

(6 citation statements)

References 15 publications

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“…[11] gives (13.5−15.2)•10 −40 cm 2 ) and all inclusive and exclusive processes can be simultaneously and consistently described. We also mention that Singh et al [32] have studied the various processes based on the local density approximation and find a total (exclusive + inclusive) muon capture rate of (3.6 ± 0.22) • 10 4 s −1 [33] (the experimental value for the total rate is (3.8 ± 0.10) • 10 4 s −1 ) and a 12 C(ν µ , µ − ) 12 N cross section of (16.5 ± 1.3)10 −40 cm 2 [32], slightly lower, but consistent with our new result. Notably, Mintz and collaborators predicted the 12 C(ν µ , µ − ) 12 N cross section [34], but the model assumptions within the elementary particle model used in the approach of these authors are questionable and not justified for this reaction [12].…”

Section: Introductionmentioning

confidence: 92%

Weak reactions on 12C within the continuum random phase approximation with partial occupancies

Langanke²,

1999

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We extend our previous studies of the neutrino-induced reactions on 12 C and muon capture to include partial occupation of nuclear subshells in the framework of the continuum random phase approximation. We find, in contrast to the work by Auerbach et al., that a partial occupation of the p 1/2 subshell reduces the inclusive cross sections only slightly. The extended model describes the muon capture rate and the 12 C(ν e , e − ) 12 N cross section very well. The recently updated flux and the improved model bring the calculated 12 C(ν µ , µ − ) 12 N cross section (≈ 17.5 · 10 −40 cm 2 ) and the data ((12.4±0.3(stat.)±1.8(syst.)·10 −40 cm 2 ) closer together, but does not remove the discrepancy fully. 25.30.PtTypeset using REVT E X

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Section: Introductionmentioning

confidence: 92%

Weak reactions on 12C within the continuum random phase approximation with partial occupancies

Langanke²,

1999

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“…The quantity µ e −iqx stands for the leptonic matrix element written in coordinate space with q being the 3momentum transfer. The magnitude of − → q is defined from the kinematics of the process and is approximately given by [57] q…”

Section: Formalism Of Muon Capture Ratesmentioning

confidence: 99%

Detailed description of exclusive muon capture rates using realistic two-body forces

Giannaka

Kosmas

2015

Phys. Rev. C

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Starting from state-by-state calculations of exclusive rates of the ordinary muon capture (OMC), we evaluated total µ − -capture rates for a set of light-and medium-weight nuclear isotopes. We employed a version of the proton-neutron quasi-particle random phase approximation (pn-QRPA, for short) which uses as realistic nuclear forces the Bonn C-D one boson exchange potential. Special attention was paid on the percentage contribution to the total µ − -capture rate of specific low-spin multipolarities resulting by summing over the corresponding multipole transitions. The nuclear method used offers the possibility of estimating seperately the individual contributions to the total and partial rates of the polar-vector and axial-vector components of the weak interaction Hamiltonian for each accessible final state of the daughter nucleus. One of our main goals is to provide a reliable description of the charge changing transitions matrix elements entering the description of other similar semileptonic nuclear processes like the charged-current neutrino-nucleus reactions, the electron capture on nuclei, the single β ± -decay mode, etc., which play important role in currently interesting laboratory and astrophysical applications like the neutrino-detection through leptonnucleus interaction probes, and neutrino-nucleosynthesis. Such results can be also be useful in various ongoing muon-capture experiments at PSI, Fermilab, JPARC and RCNP.

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“…The motivation for this investigation comes from the results of a recent publication [1,2], where we have developed a model which describes rather well the inclusive 12 C(ν µ , µ − ) and 12 C(ν e , e − ) cross sections near threshold, and inclusive muon capture by nuclei. This approach, which is an extension of the quasi-elastic inclusive electron scattering model of [3], is based on a Local Fermi Gas (LFG), where the simplicity of the model makes it possible to include a great variety of effects into the reaction dynamics [4,5,6,7,8]. In particular long-range nuclear correlations are taken into account by computing the RPA polarization propagator containing nucleonic and ∆(1232) degrees of freedom.…”

Section: Introductionmentioning

confidence: 99%

Equivalence between local Fermi gas and shell models in inclusive muon capture from nuclei

et al. 2005

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Motivated by recent studies of inclusive neutrino nucleus processes and muon capture within a correlated local Fermi gas model (LFG), we discuss the relevance of nuclear finite size effects in these reactions at low energy, in particular for muon capture. To disentangle these effects from others coming from the reaction dynamics we employ here a simple uncorrelated shell model that embodies the typical finite size content of the problem. The integrated decay widths of muon atoms calculated with this shell model are then compared for several nuclei with those obtained within the uncorrelated LFG, using in both models exactly the same theoretical ingredients and parameters. We find that the two predictions are in quite good agreement, within 1-7%, when the shell model density and the correct energy balance is used as input in the LFG calculation. The present study indicates that, despite the low excitation energies involved in the reaction, integrated inclusive observables, like the total muon capture width, are quite independent of the fine details of the nuclear wave functions.

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Inclusive muon capture in light nuclei

Cited by 19 publications

References 15 publications

Weak reactions on 12C within the continuum random phase approximation with partial occupancies

Weak reactions on 12C within the continuum random phase approximation with partial occupancies

Detailed description of exclusive muon capture rates using realistic two-body forces

Equivalence between local Fermi gas and shell models in inclusive muon capture from nuclei

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