μ−capture onC12and the tensor form factor

Abstract

Recent experiments in nuclear beta decay have indicated a large tensor form factor in the decay ${\mathrm{B}}^{12}\to {\mathrm{C}}^{12}+e^{-}+{\overline{\nu }}_e$. Using elementary-particle methods the implications of this result are studied for the $\mu$-capture reaction ${\mu }^{-}+{\mathrm{C}}^{12}\to {\mathrm{B}}^{12}+{\nu }_{\mu }$. Agreement is hard to obtain unless the induced pseudoscalar is somewhat larger than its simple PCAC (partial conservation of axial-vector current) value.