### $mu$-MESON CAPTURE IN Li$sup 6$ LEADING TO THE GROUND STATE OF He$sup 6$$mu$-MESON CAPTURE IN Li$sup 6$ LEADING TO THE GROUND STATE OF He$sup 6$

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 Author Uberall, H. Source United States Department of Energy Office of Scientific and Technical Information Content type Text Language English
 Subject Keyword PHYSICS ♦ ALPHA PARTICLES- CAPTURE- COUPLING- ELECTRONS- HELIUM 6- INTERACTIONS- LITHIUM 6- MUONS- NUCLEAR REACTIONS- NUMERICALS- PSEUDOSCALAR- RECOILS- SCATTERING- VECTORS- WEAK INTERACTIONS ♦ CAPTURE- CONFIGURATION- COUPLING- HELIUM 6- INTERACTIONS- LITHIUM 6- MUONS- NUCLEAR MODELS- NUCLEAR REACTIONS- NUMERICALS- PSEUDOSCALAR- SHELL MODELS- VECTORS- WAVE MECHANICS- WEAK INTERACTIONS Abstract The rate of the capture reaction of mu /sup -/ mesons was calculated in Li/sup 6/ leading to the He/sup 6/ ground state (Godfrey-type reaction), a process which is expected to give more accurate information on the mu -capture coupling constants than the capture in nuclei leading to all possible final states. Induced pseudoscalar coupling and Gell-Mann's conserved vector current are taken into account, and numerical results are given assuming a universal weak interaction. The Li/sup 6/ and He/sup 6/ wave functions are taken as shell model states with LS coupling and configuration mixing. It is found that the capture rate is sensitive to the p-shell radius, and for a determination of the latter, the Stanford electron scattering results for Li/sup 6/ were analyzed taking into account the recoil motion of the alpha -particle core; however, the main portion of the radial integral in the theoretical capture rate may be read from the scattering data directly. The capture rate is found to be of the order of 0.4 x 10/sup 3/ sec/sup -1/, its exact value still depending on some assumptions about the coupling. (auth) ISSN 0031899X Educational Use Research Learning Resource Type Article Publisher Date 1959-10-01 Publisher Department Carnegie Inst. of Tech., Pittsburgh Journal Physical Review Volume Number 116 Organization Carnegie Inst. of Tech., Pittsburgh