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Related papers: The $\mu^-d$ capture rate in effective field theor…

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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

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

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 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

We propose to measure the rate \Rd\ for muon capture on the deuteron to better than 1.5% precision. This process is the simplest weak interaction process on a nucleus that can both be calculated and measured to a high degree of precision.…

The muon capture reaction $\mu^- + d \rightarrow n + n + \nu_{\mu}$ in the doublet hyperfine state is studied using nuclear potentials and consistent currents derived in chiral effective field theory, which are local and expressed in…

Nuclear Theory · Physics 2023-01-24 L. Ceccarelli , A. Gnech , L. E. Marcucci , M. Piarulli , M. Viviani

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

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 muon-capture reactions 2H(\mu^-,\nu_\mu)nn and 3He(\mu^-,\nu_\mu)3H are studied with nuclear strong-interaction potentials and charge-changing weak currents, derived in chiral effective field theory. The low-energy constants (LEC's) c_D…

Nuclear Theory · Physics 2015-05-30 L. E. Marcucci , A. Kievsky , S. Rosati , R. Schiavilla , 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 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

By measuring the lifetime of the negative muon in pure protium (hydrogen-1), the MuCap experiment determines the rate of muon capture on the proton, from which the proton's pseudoscalar coupling g_p may be inferred. A precision of 15% for…

Nuclear Experiment · Physics 2008-11-26 Frederick Gray

We have evaluated the amplitude for muon capture by a proton, mu + p --> n + nu, to O(p^3) within the context of heavy baryon chiral perturbation theory (HBChPT) using the new O(p^3) Lagrangian of Ecker and Mojzis (E&M). We obtain…

High Energy Physics - Phenomenology · Physics 2009-10-30 Harold W. Fearing , Randy Lewis , Nader Mobed , Stefan Scherer

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

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

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

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

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 cross section of neutron-deuteron radiative capture $n d\to {^3H}\gamma$ is calculated at energies relevant to Big-Bang nucleosynthesis ($ 20 \leq E \leq 200 $ Kev) with pionless Effective Field Theory. At these energies, magnetic…

Nuclear Theory · Physics 2016-09-08 H. Sadeghi , S. Bayegan

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…

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