Electromagnetic corrections to the induced pseudoscalar term in nuclear muon capture

Journal Article · Thu Aug 21 04:00:00 EDT 1975 · Nuovo Cim., A, v. 28A, no. 4, pp. 487-509

DOI:https://doi.org/10.1007/BF02894862· OSTI ID:4154941

Fulcher, L P; Mukhopadhyay, N C

The electromagnetic corrections to the induced pseudoscalar term in nuclear muon capture are studied. The effects of the static nuclear magnetic field are shown to be very small. The effects of the nuclear Coulomb field are calculated by constructing the Green's function appropriate for pions moving in the Coulomb field of an extended nucleus and using realistic muon wave functions. Consideration of finite nuclear size is shown to be imperative in order to obtain accurate results. The Coulomb corrections are not large enough to play any significant role in understanding the discrepancy of the theory with the recent measurement of the photon spectrum following radiative muon capture in $sup 40$Ca of the rate of the reaction $sup 16$O($mu$$sup -$, $nu$/sub mu/)$sup 16$N(0$sup - $). Two approximate methods of obtaining the results are also presented. (auth)

• Research Organization: Univ. of Maryland, College Park
• NSA Number: NSA-33-004494
• OSTI ID: 4154941
• Journal Information: Nuovo Cim., A, v. 28A, no. 4, pp. 487-509, Journal Name: Nuovo Cim., A, v. 28A, no. 4, pp. 487-509; ISSN NCIAA
• Country of Publication: Italy
• Language: English

Related Subjects

*MUON REACTIONS-- CAPTURE
643503*
CALCIUM 40
CORRECTIONS
COULOMB FIELD
ELECTRODYNAMICS
GAMMA SPECTRA
GREEN FUNCTION
MAGNETIC FIELDS
N69230* --Physics (Nuclear)--Nuclear Theory--Nuclear Reactions & Scattering
NITROGEN 16
OXYGEN 16
PIONS
PSEUDOSCALARS
SIZE
WAVE FUNCTIONS