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Recently many authors have performed shell-model calculations of nuclear matrix elements determining the rates of the ordinary muon capture in light nuclei. These calculations have employed well-tested effective interactions in large scale…

Nuclear Theory · Physics 2009-10-31 T. Siiskonen , J. Suhonen , M. Hjorth-Jensen

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

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

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

In nuclear structure calculations, the choice of a limited model space, due to computational needs, leads to the necessity to renormalize the Hamiltonian as well as any transition operator. Here, we present a study of the renormalization…

Nuclear Theory · Physics 2019-07-31 L. Coraggio , L. De Angelis , T. Fukui , A. Gargano , N. Itaco , F. Nowacki

In this work we study ordinary muon capture (OMC) on $^{24}$Mg from a first principles perspective. Starting from a particular two- and three-nucleon interaction derived from chiral effective field theory, we use the valence-space in-medium…

Nuclear Theory · Physics 2023-02-03 L. Jokiniemi , T. Miyagi , S. R. Stroberg , J. D. Holt , J. Kotila , J. Suhonen

Comparison of the new data for the negative muon capture in 28^Si with the recent shell model calculations using a full 1s-0d model space and the USD empirical effective interaction and the one-nucleon weak current provides the induced…

Nuclear Theory · Physics 2007-05-23 S. Ciechanowicz , F. C. Khanna , E. Truhlik

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

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

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

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

In this paper, we present some results of shell-model calculations employing effective interactions derived from the CD-Bonn free nucleon-nucleon potential. These concern 18O, 134Te, and 210Po, and are part of a comprehensive study of…

Nuclear Theory · Physics 2009-11-07 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

No-core shell model (NCSM) calculations using ab initio effective interactions are very successful in reproducing experimental nuclear spectra. The main theoretical approach is the use of effective operators, which include correlations left…

Nuclear Theory · Physics 2007-05-23 Bruce R. Barrett , Ionel Stetcu , Petr Navratil , James P. Vary

A realistic shell-model study is performed for neutron-deficient tin isotopes up to mass A=108. All shell-model ingredients, namely two-body matrix elements, single-particle energies, and effective charges for electric quadrupole transition…

Nuclear Theory · Physics 2015-06-23 L. Coraggio , A. Covello , A. Gargano , N. Itaco , T. T. S. Kuo

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

Few white dwarfs, located in binary systems, may acquire sufficiently high mass accretion rates resulting in the burning of carbon and oxygen under nondegenerate conditions forming a O+Ne+Mg core. These O+Ne+Mg cores are gravitationally…

Nuclear Theory · Physics 2015-06-22 Jameel-Un Nabi

The shell model embedded in the continuum is applied to calculate the astrophysical S-factor and the reaction rate for the radiative proton capture reaction 17F(p,gamma)18Ne. The dominant contribution to the cross-section at very low…

Nuclear Theory · Physics 2009-11-11 R. Chatterjee , J. Okolowicz , M. Ploszajczak

We consider the capture of a muon on a deuteron. An uncertainty analysis of the dominant channels is important for a careful analysis of forthcoming experimental data. We quantify the theoretical uncertainties of chiral…

Nuclear Theory · Physics 2023-06-21 Jose Bonilla , Bijaya Acharya , Lucas Platter

Neutrino reaction cross-sections, $(\nu_\mu,\mu^-)$, $(\nu_e,e^-)$, $\mu$-capture and photoabsorption rates on $^{12}$C are computed within a large-basis shell-model framework, which included excitations up to $4\hbar\omega$. When…

Nuclear Theory · Physics 2009-10-31 A. C. Hayes , I. S. Towner
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