Radiative and non radiative muon capture on the proton in heavy baryon chiral perturbation theory

Abstract

We have evaluated the amplitude for muon capture by a proton, mu + p --> n + nu, to O(p^3) within the context of heavy baryon chiral perturbation theory (HBChPT) using the new O(p^3) Lagrangian of Ecker and Mojzis (E&M). We obtain expressions for the standard muon capture form factors and determine three of the coefficients of the E&M Lagrangian, namely, b_7, b_{19}, and b_{23}. We describe progress on the next step, a calculation of the radiative muon capture process, mu + p --> n + nu + gamma.

arXiv commentTalk at the 15th Int. Conf. on Few-Body Problems in Physics, 22-26 July, 1997, Groningen, The Netherlands, to be published in the proceedings; 5 pages, LaTeX, using espcrc1.sty

References in corpus (7)

• Chiral Dynamics in Nucleons and Nuclei
• Chiral perturbation theory
• Chiral Perturbation Theory
• Low-energy expansion of the pion-nucleon Lagrangian
• Muon capture by a proton in heavy baryon chiral perturbation theory
• Radiative Muon Capture on Hydrogen and the Induced Pseudoscalar Coupling
• Generalized Polarizabilities and the Chiral Structure of the Nucleon

Cited by in corpus (6)

• The form factors of the nucleon at small momentum transfer
• Capture rate and neutron helicity asymmetry for ordinary muon capture on hydrogen
• Radiative pion capture by a nucleon
• Analysis of ordinary and radiative muon capture in liquid hydrogen
• Polarized photons in radiative muon capture
• Ordinary Muon Capture in Hydrogen Reexamined