Break-up channels in muon capture onHe3

Autor: Hiroyuki Kamada, Andreas Nogga, R. Skibiński, Kacper Topolnicki, Laura Elisa Marcucci, A. E. Elmeshneb, Jacek Golak, Henryk Witała
Rok vydání: 2014
Předmět:
Zdroj: Physical Review C. 90
ISSN: 1089-490X
0556-2813
DOI: 10.1103/physrevc.90.024001
Popis: The ${\ensuremath{\mu}}^{\ensuremath{-}}+{}^{2}\mathrm{H}\ensuremath{\rightarrow}{\ensuremath{\nu}}_{\ensuremath{\mu}}+n+n$, ${\ensuremath{\mu}}^{\ensuremath{-}}+{}^{3}\mathrm{He}\ensuremath{\rightarrow}{\ensuremath{\nu}}_{\ensuremath{\mu}}+{}^{3}\mathrm{H}$, ${\ensuremath{\mu}}^{\ensuremath{-}}+{}^{3}\mathrm{He}\ensuremath{\rightarrow}{\ensuremath{\nu}}_{\ensuremath{\mu}}+n+d$, and ${\ensuremath{\mu}}^{\ensuremath{-}}+{}^{3}\mathrm{He}\ensuremath{\rightarrow}{\ensuremath{\nu}}_{\ensuremath{\mu}}+n+n+p$ capture reactions are studied with various realistic potentials under full inclusion of final-state interactions. Our results for the two- and three-body break-up of $^{3}\mathrm{He}$ are calculated with a variety of nucleon-nucleon potentials, among which is the AV18 potential, augmented by the Urbana IX three-nucleon potential. Most of our results are based on the single-nucleon weak-current operator. As a first step, we tested our calculation in the case of the ${\ensuremath{\mu}}^{\ensuremath{-}}+{}^{2}\mathrm{H}\ensuremath{\rightarrow}{\ensuremath{\nu}}_{\ensuremath{\mu}}+n+n$ and ${\ensuremath{\mu}}^{\ensuremath{-}}+{}^{3}\mathrm{He}\ensuremath{\rightarrow}{\ensuremath{\nu}}_{\ensuremath{\mu}}+{}^{3}\mathrm{H}$ reactions, for which theoretical predictions obtained in a comparable framework are available. Additionally, we have been able to obtain for the first time a realistic estimate for the total rates of the muon capture reactions on $^{3}\mathrm{He}$ in the break-up channels: 544 ${\mathrm{s}}^{\ensuremath{-}1}$ and 154 ${\mathrm{s}}^{\ensuremath{-}1}$ for the $n+d$ and $n+n+p$ channels, respectively. Our results are compared with the most recent experimental data, finding a rough agreement for the total capture rates, but failing to reproduce the differential capture rates.
Databáze: OpenAIRE