Induced Pseudoscalar Coupling in Muon Capture and Second-Order Corrections
Abstract
The hyperfine effect in muon capture rate is analyzed with taking into account of the second-order terms in 1/M in the non-relativistic Hamiltonian. It is shown that in the situation of the dominance of the squared first-order terms the interference of zero-order and second-order terms has no significant influence. General expression for neutrino (recoil nucleus) angular distribution in muon capture by nucleus with non-zero spin is proposed. High sensitivity to gP of the term related with alignment of the initial mesic atom is discussed in the approximation of dominating Gamow--Teller matrix element.
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