Ordinary muon capture studies for the matrix elements in $\beta \beta$ decay

Abstract

Precise measurement of $\gamma$-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 $\gamma$-lines intensity allows to extract relative yield of several daughter nuclei and partial rates of ($\mu$,$\nu$) 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$\beta$-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$\beta$-decay.

arXiv comment14 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

References in corpus (4)

• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Nuclear matrix elements of double beta decay from beta decay
• Ordinary muon capture as a probe of virtual transitions of $\beta \beta$ decay
• Muon capture reaction on ${}^{100}Mo$ to study nuclear responses for double beta decays and astro-neutrinos

Cited by in corpus (10)

• A Statistical Analysis for the Neutrinoless Double-Beta Decay Matrix element of 48Ca
• Muon capture rates: Evaluation within the Quasiparticle Random Phase Approximation
• Ab initio calculation of muon capture on ${}^{24}$Mg
• Predicting the neutrinoless double-beta decay matrix element of ${}^{136}$Xe using a statistical approach
• Muon Capture on ${}^6$Li, ${}^{12}$C, and ${}^{16}$O from $AbInitio$ Nuclear Theory
• Axial-vector weak coupling at medium momentum for astro neutrinos and double beta decays
• The MONUMENT Experiment: Ordinary Muon Capture studies for 0$\nu \beta \beta$ decay
• Measurement of the production branching ratios following nuclear muon capture for palladium isotopes using the in-beam activation method
• Determination of the Muon Lifetime in ${}^{76}$Se with the MONUMENT experiment
• Comprehensive table of calculated Huff factors