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We use the continuum random phase approximation to describe the muon capture on C-12, O-16 and Ca-40. We reproduce the experimental total capture rates on these nuclei to better than 10% using the free nucleon weak form factors and two…

Nuclear Theory · Physics 2009-09-25 E. Kolbe , K. Langanke , P. Vogel

We use the random phase approximation to describe the muon capture rate on ${}^{44}$Ca,${}^{48}$Ca, ${}^{56}$Fe, ${}^{90}$Zr, and ${}^{208}$Pb. With ${}^{40}$Ca as a test case, we show that the Continuum Random Phase Approximation (CRPA)…

Nuclear Theory · Physics 2009-11-06 E. Kolbe , K. Langanke , P. Vogel

The Quasiparticle Random Phase Approximation (QRPA) is used in evaluation of the total muon capture ratesfor the final nuclei participating in double-beta decay. Several variants of the method are used, depending on the size of the single…

Nuclear Theory · Physics 2020-09-09 Fedor Simkovic , Rastislav Dvornicky , Petr Vogel

Muon capture on nuclei is one of the most promising probes of the nuclear electroweak current driving the yet-hypothetical neutrinoless double-beta ($0\nu\beta\beta$) decay. Both processes involve vector and axial-vector currents at finite…

Nuclear Theory · Physics 2024-06-12 Lotta Jokiniemi , Petr Navratil , Jenni Kotila , Kostas Kravvaris

Starting from state-by-state calculations of exclusive rates of the ordinary muon capture (OMC), we evaluated total muon-capture rates for a set of light- and medium-weight nuclear isotopes. We employed a version of the proton-neutron…

Nuclear Theory · Physics 2015-06-19 P. G. Giannaka , T. S. Kosmas

Searches for neutrinoless-double beta decay rates are crucial in addressing questions within fundamental symmetries and neutrino physics. The rates of these decays depend not only on unknown parameters associated with neutrinos, but also on…

Nuclear Theory · Physics 2022-04-26 G. B. King , S. Pastore , M. Piarulli , R. Schiavilla

We study total muon capture rates in light nuclei, taking into account renormalizations of the nuclear vector and axial vector strengths. We estimate the influence in the results of uncertainties of the spin-isospin interaction parameter…

Nuclear Theory · Physics 2009-10-31 Nimai C. Mukhopadhyay , H. C. Chiang , S. K. Singh , E. Oset

The singlet capture rate $\Lambda_S$ for the semileptonic weak process $\mu+p \to n+\nu_\mu$ has been measured in the MuCap experiment. The novel experimental technique is based on stopping muons in an active target, consisting of a time…

Nuclear Experiment · Physics 2019-08-13 Peter Kammel

The relativistic proton-neutron quasiparticle random phase approximation (PN-RQRPA) is applied in the calculation of total muon capture rates on a large set of nuclei from $^{12}$C to $^{244}$Pu, for which experimental values are available.…

Nuclear Theory · Physics 2009-06-30 T. Marketin , N. Paar , T. Niksic , D. Vretenar

An ab initio quantum Monte Carlo method is introduced for calculating total rates of muon weak capture in light nuclei with mass number $A \leq 12$. As a first application of the method, we perform a calculation of the rate in $^4$He in a…

Nuclear Theory · Physics 2019-09-18 A. Lovato , N. Rocco , R. Schiavilla

We extend our previous studies of the neutrino-induced reactions on 12C 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…

Nuclear Theory · Physics 2008-11-26 E. Kolbe , K. Langanke , P. Vogel

We use the Quasiparticle Random Phase Approximation to include the effects of low-lying Gamow-Teller and first forbidden strength in neutrino capture by very neutron-rich nuclei with N = 50, 82, or 126. For electron neutrinos in what is…

Nuclear Theory · Physics 2008-11-26 Rebecca Surman , Jonathan Engel

Total Ordinary Muon Capture (OMC) rates are calculated on the basis of the Quasiparticle Random Phase Approximation for several spherical nuclei from 90^Zr to 208^Pb. It is shown that total OMC rates calculated with the free value of the…

Nuclear Theory · Physics 2008-11-26 V. A. Kuzmin , T. V. Tetereva , K. Junker , A. A. Ovchinnikova

We report results from shell model studies of muon capture on $^{40}$Ca to low-lying levels of $^{40}$K. We discuss the comparison between calculated capture rates, measured capture rates and analogous transitions in ($e$,$e^{\prime}$)…

Nuclear Theory · Physics 2009-11-11 T. P. Gorringe

We report about a study of the ordinary muon capture in nuclei belonging to the sd shell, an electroweak process that occurs with exchange momenta far larger than ordinary beta decays (approximately 100 MeV). Such a characteristic places…

Nuclear Theory · Physics 2025-10-09 S. L. Lyu , G. De Gregorio , T. Fukui , N. Itaco , L. Coraggio

The Random Phase Approximation theory is used to calculate the total cross sections of electron neutrinos on $^{12}$C nucleus. The role of the excitation of the discrete spectrum is discussed. A comparison with electron scattering and muon…

Nuclear Theory · Physics 2007-05-23 Giampaolo Co'

Angular distribution of neutrinos (recoil nucleus) in muon capture for an allowed Gamov-Teller transition is considered by taking account of hyperfine effects. This angular distribution is shown to include a correlation of the form P_2(cos…

Nuclear Theory · Physics 2014-11-18 A. L. Barabanov , Yu. V. Gaponov , B. V. Danilin , N. B. Shul'gina

The conservation of the number of particles within the QRPA plays an important role in the evaluation muon capture rates in all light nuclei with A \precsim 30 . The violation of the CVC by the Coulomb field in this mass region is of minor…

We calculate the muon capture rate on the deuteron to next-to-next-to-leading order in the pionless effective field theory. The result can be used to constrain the two-nucleon isovector axial coupling L_{1,A} to +/- 2 fm^3 if the muon…

Nuclear Theory · Physics 2009-11-11 Jiunn-Wei Chen , Takashi Inoue , Xiangdong Ji , Yingchuan Li

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,…

Nuclear Theory · Physics 2007-05-23 F. Krmpotic , A. Samana , A. Mariano
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