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Title: Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods

Abstract

An ab initio Green's function Monte Carlo (GFMC) method is introduced for calculating total rates of muon weak capture in light nuclei with mass number $A ≤ 12$. As a first application of the method, we perform a calculation of the rate in $^3$$\textbf{H}$$ and $^4$$\textbf{He}$$ in a dynamical framework based on realistic two- and three-nucleon interactions and realistic nuclear charge-changing weak currents. The currents include one- and two-body terms induced by $π$- and $ρ$-meson exchange, and $N$-to-$Δ$ excitation, and are constrained to reproduce the empirical value of the Gamow-Teller matrix element in tritium. We investigate the sensitivity of theoretical predictions to current parametrizations of the nucleon axial and induced pseudoscalar form factors as well as to two-body contributions in the weak currents. The large uncertainties in the measured $^4$$\textbf{He}$$ rates obtained from bubble-chamber experiments (carried out over 50 years ago) prevent us from drawing any definite conclusions. No data exist for $^3$$\textbf{H}$$, but results are compared to those of a recent Faddeev calculation as a validation of the present GFMC method.

Authors:
ORCiD logo [1];  [2];  [3]
  1. INFN-TIFPA Trento Inst. of Fundamental Physics and Applications, Trento (Italy); Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division
  2. Argonne National Lab. (ANL), Argonne, IL (United States). Physics Division; Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States). Theoretical Physics Dept.
  3. Old Dominion Univ., Norfolk, VA (United States). Dept. of Physics; Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1566122
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review C
Additional Journal Information:
Journal Volume: 100; Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Lovato, A., Rocco, N., and Schiavilla, R. Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.100.035502.
Lovato, A., Rocco, N., & Schiavilla, R. Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods. United States. doi:10.1103/PhysRevC.100.035502.
Lovato, A., Rocco, N., and Schiavilla, R. Thu . "Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods". United States. doi:10.1103/PhysRevC.100.035502.
@article{osti_1566122,
title = {Muon capture in nuclei: An ab initio approach based on Green's function Monte Carlo methods},
author = {Lovato, A. and Rocco, N. and Schiavilla, R.},
abstractNote = {An ab initio Green's function Monte Carlo (GFMC) method is introduced for calculating total rates of muon weak capture in light nuclei with mass number $A ≤ 12$. As a first application of the method, we perform a calculation of the rate in $^3$$\textbf{H}$ and $^4$$\textbf{He}$ in a dynamical framework based on realistic two- and three-nucleon interactions and realistic nuclear charge-changing weak currents. The currents include one- and two-body terms induced by $π$- and $ρ$-meson exchange, and $N$-to-$Δ$ excitation, and are constrained to reproduce the empirical value of the Gamow-Teller matrix element in tritium. We investigate the sensitivity of theoretical predictions to current parametrizations of the nucleon axial and induced pseudoscalar form factors as well as to two-body contributions in the weak currents. The large uncertainties in the measured $^4$$\textbf{He}$ rates obtained from bubble-chamber experiments (carried out over 50 years ago) prevent us from drawing any definite conclusions. No data exist for $^3$$\textbf{H}$, but results are compared to those of a recent Faddeev calculation as a validation of the present GFMC method.},
doi = {10.1103/PhysRevC.100.035502},
journal = {Physical Review C},
number = 3,
volume = 100,
place = {United States},
year = {2019},
month = {9}
}

Journal Article:
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This content will become publicly available on September 12, 2020
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