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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

We use the random phase approximation to systematically describe the total muon capture rates on all nuclei where they have been measured. We reproduce the experimental values on these nuclei to better than 15% accuracy using the free…

Nuclear Theory · Physics 2009-11-11 Nikolaj Thomas Zinner , Karlheinz Langanke , Petr Vogel

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

This work investigates the muon capture reactions 2H(\mu^-,\nu_\mu)nn and 3He(\mu^-,\nu_\mu)3H and the contribution to their total capture rates arising from the axial two-body currents obtained imposing the…

Nuclear Theory · Physics 2011-03-07 L. E. Marcucci , M. Piarulli

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

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

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

Beta-decay and muon-capture experiments in nuclei are reviewed. The conserved vector current hypothesis is confirmed through the observed constancy of the vector coupling constant determined from the superallowed Fermi transitions and from…

Nuclear Theory · Physics 2016-11-03 I. S. Towner , J. C. Hardy

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

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

The muon capture reactions 2H(\mu^-,\nu_\mu)nn and 3He(\mu^-,\nu_\mu)3H are studied with conventional or chiral realistic potentials and consistent weak currents. The initial and final A=2 and 3 nuclear wave functions are obtained from the…

Nuclear Theory · Physics 2011-02-21 L. E. Marcucci , M. Piarulli , M. Viviani , L. Girlanda , A. Kievsky , S. Rosati , R. Schiavilla

Measuring the rate of muon capture in hydrogen provides one of the most direct ways to study the axial current of the nucleon. The MuCap experiment uses a negative muon beam stopped in a time projection chamber operated with ultra-pure…

Nuclear Experiment · Physics 2015-03-17 Peter Winter

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 survey a new generation of precision muon lifetime experiments. The goal of the MuCap experiment is a determination of the rate for muon capture on the free proton to 1 percent, from which the induced pseudoscalar form factor $g_P$ of…

Nuclear Experiment · Physics 2019-08-14 Peter Kammel

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

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 study the modification of the nucleon axial form factor in nuclear matter. The internal quark substructure of the nucleon is self-consistently described by the quark meson coupling model. We find that the axial form factor of the bound…

Nuclear Theory · Physics 2007-05-23 D. H. Lu , A. W. Thomas , K. Tsushima

Exclusive and inclusive $(\nu_\mu, \mu^-), (\nu_e, e^-)$ cross-sections and $\mu^-$-capture rates are calculated for ^{12}C and ^{16}O using the consistent random phase approximation (RPA) and pairing model. After a pairing correction is…

Nuclear Theory · Physics 2016-09-08 N. Auerbach , N. Van Giai , O. K. Vorov

The rate of muon capture in a muonic hydrogen atom is calculated in heavy-nucleon chiral perturbation theory up to next-to-next-to leading order. To this order, we present the systematic evaluation of all the corrections due to the QED and…

Nuclear Theory · Physics 2013-06-04 U. Raha , F. Myhrer , K. Kubodera
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