Ordinary muon capture studies for the matrix elements in ${\hat{I}}^2{\hat{I}}^2$ decay

Abstract

Precise measurement of ${\hat{I}}^3$-rays following ordinary (non-radiative) capture of negative muons by natural Se, Kr, Cd and Sm, as well as isotopically enriched ${}^{48}$Ti, ${}^{76}$Se, ${}^{82}$Kr, ${}^{106}$Cd and ${}^{150}$Sm targets was performed by means of HPGe detectors. Energy and time distributions were investigated and total life time of negative muon in different isotopes was deduced. Detailed analysis of ${\hat{I}}^3$-lines intensity allows to extract relative yield of several daughter nuclei and partial rates of ($\hat{I}¼$,$\hat{I}½$) capture to numerous excited levels of the ${}^{48}$Sc, ${}^{76}$As, ${}^{82}$Br, ${}^{106}$Ag and ${}^{150}$Tc isotopes which are considered to be virtual states of an intermediate odd-odd nucleus in 2${\hat{I}}^2$-decay of ${}^{48}$Ca, ${}^{76}$Ge, ${}^{82}$Se, ${}^{106}$Cd and ${}^{150}$Nd, respectively. These rates are important as an experimental input for the theoretical calculation of the nuclear matrix elements of 2${\hat{I}}^2$-decay.

14 pages, 13 figures, article, with editors in Physical Review C; the structure of the article was totally revised concerning the Referee remarks and journal requirements (the figures were reordered, the format of figures have been changed), the 3 additional Figures and 1 Table were included