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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

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

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

I use a microscopic calculation of the weak capture process 3He(\mu^{-},\nu_\mu)3H, to extract and constrain the weak form factors of the nucleon, particularly the induced pseudo-scalar, and the second-class currents. The induced…

Nuclear Theory · Physics 2010-02-25 Doron Gazit

Model dependence of the capture rates of the negative muon capture in deuterium is studied starting from potential models and the weak two-body meson exchange currents constructed in the tree approximation and also from an effective field…

Nuclear Theory · Physics 2014-11-20 P. Ricci , E. Truhlik , B. Mosconi , J. Smejkal

We quantify the theoretical uncertainties of chiral effective-field-theory predictions of the muon-deuteron capture rate. Theoretical error estimates of this low-energy process is important for a reliable interpretation of forthcoming…

Nuclear Theory · Physics 2019-01-04 Bijaya Acharya , Andreas Ekström , Lucas Platter

The doublet capture rate of the negative muon capture in deuterium is calculated employing the nuclear wave functions generated from accurate nucleon-nucleon potentials constructed at next-to-next-to-next-to-leading order of heavy-baryon…

Nuclear Theory · Physics 2014-07-07 J. Adam, , M. Tater , E. Truhlik , E. Epelbaum , R. Machleidt , P. Ricci

We review the results of the most recent calculations for the electromagnetic structure of light nuclei, the weak muon capture on deuteron and 3He and the weak proton-proton capture reaction at energies of astrophysical interest, performed…

Nuclear Theory · Physics 2015-06-17 L. E. Marcucci

The weak form factors of the nucleon, including the induced pseudoscalar form factor and second class terms, are constrained using a microscopic calculation of the weak capture process $^3He(\mu^{-},\nu_\mu)^3{H}$. The calculation is…

Nuclear Theory · Physics 2010-05-12 Doron Gazit

Muon capture on the deuteron is studied in heavy baryon chiral perturbation theory (HBChPT). It is found that by far the dominant contribution to $\mu d$ capture comes from a region of the final three-body phase-space in which the energy of…

Nuclear Theory · Physics 2009-11-07 S. Ando , T. -S. Park , K. Kubodera , F. Myhrer

The ^3He(mu^-,nu_mu)^3H weak capture is studied using correlated-hyperspherical-harmonics wave functions, obtained from realistic Hamiltonians consisting of the Argonne $v_{14}$ or Argonne $v_{18}$ two-nucleon, and Tucson-Melbourne or…

Nuclear Theory · Physics 2014-11-18 L. E. Marcucci , R. Schiavilla , S. Rosati , A. Kievsky , M. Viviani

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

The astrophysical S-factor for proton-proton weak capture is calculated in chiral effective field theory over the center-of-mass relative-energy range 0--100 keV. The chiral two-nucleon potential derived up to next-to-next-to-next-to…

Nuclear Theory · Physics 2013-05-14 L. E. Marcucci , R. Schiavilla , M. Viviani

The chiral low-energy constants c_D and c_E are constrained by means of accurate ab initio calculations of the A=3 binding energies and, for the first time, of the triton beta decay. We demonstrate that these low-energy observables allow a…

Nuclear Theory · Physics 2009-09-21 Doron Gazit , Sofia Quaglioni , Petr Navratil

We compute the muon capture on deuteron in the doublet hyperfine state for a variety of nuclear interactions and consistent nuclear currents. Our analysis includes a detailed examination of the theoretical uncertainties coming from…

Nuclear Theory · Physics 2024-03-07 Alex Gnech , Laura Elisa Marcucci , Michele Viviani

Exchange current corrections are calculated using currents found from the hard-pion model and AV14+3BF wavefunctions. Results are given for the rate and spin observables. Their sensitivity to g_P, the nucleon pseudoscalar form factor, is…

Nuclear Theory · Physics 2008-11-26 J. G. Congleton , E. Truhlik

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

We study the capture rate in the doublet hyperfine initial state for the muon capture reaction $\mu^- + \,^2{\rm H} \rightarrow \nu_\mu + n + n$ ($\Gamma^D$) and the total capture rate for the reaction $ \mu^- + \,^3{\rm He} \rightarrow…

Nuclear Theory · Physics 2014-11-13 L. E. Marcucci , R. Machleidt

The paper describes an experiment aimed at studying muon capture by ${}^{3}\mathrm{He}$ nuclei in pure ${}^{3}\mathrm{He}$ and $\mathrm{D}_2 + {}^{3}\mathrm{He}$ mixtures at various densities. Energy distributions of protons and deuterons…

The successful precision measurement of the rate of muon capture on a proton by the MuCap Collaboration allows for a stringent test of the current theoretical understanding of this process. Chiral perturbation theory, which is a low-energy…

Nuclear Theory · Physics 2015-06-19 S. Pastore , F. Myhrer , K. Kubodera
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