Induced Pseudoscalar Coupling in Muon Capture and Second-Order Corrections

Details Induced Pseudoscalar Coupling in Muon Capture and Second-Order Corrections Induced Pseudoscalar Coupling in Muon Capture and Second-Order Corrections

1999-03-23

arxiv.org/abs/nucl-th/9903054v1

Physics

Nuclear Physics

Nuclear Theory

12 pages, latex, no figures, report at INPC98 (Paris)

Scientific paper

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 $g_P$ 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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