Radiative Muon Capture and Induced Pseudoscalar Coupling Constant in Nuclear Matter

Details Radiative Muon Capture and Induced Pseudoscalar Coupling Constant in Nuclear Matter Radiative Muon Capture and Induced Pseudoscalar Coupling Constant in Nuclear Matter

1998-11-09

arxiv.org/abs/nucl-th/9811025v1

Physics

Nuclear Physics

Nuclear Theory

11 pages, 3 figures

Scientific paper

The recent TRIUMF experiment for $\mu^- p \to n \nu_{\mu} \gamma$ gave a surprising result that the induced pseudoscalar coupling constant $g_P$ was larger than the value obtained from $\mu^- p \to n \nu_{\mu}$ experiment as much as 44 %. Reexamining contribution of the axial vector current in electromagnetic interaction, we found an additional term to the matrix element which was used to extract the $g_P$ value from the measured photon energy spectrum. This additional term, which plays a key role to restore the reliability of $g_P (- 0.88 m_{\mu}^2) = 6.77 g_A (0)$, is shown to affect the $g_P$ quenching problems in nucleus.

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