Observables in muon capture on Na-23 and the effective weak couplings g(tilde)(a) and g(tilde)(p)

Johnson, B.L.; Gorringe, T.P.; Bauer, J.; Kovash, M.A.; Porter, R.; Armstrong, D.S.; Hasinoff, M.D.; Measday, David F.; Moftah, B.A.; Wright, D.H.

doi:10.1103/PhysRevC.54.2714

Observables in muon capture on Na-23 and the effective weak couplings g(tilde)(a) and g(tilde)(p)

1996

18 pages

Published in:

Phys.Rev.C 54 (1996) 2714-2731

DOI:

10.1103/PhysRevC.54.2714

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Abstract: (APS)

We report measurements of capture rates and hyperfine dependences in muon capture on Na23 to various states in Ne and F isotopes. We also report comparisons of the capture rates and hyperfine dependences for six Na23 → Ne23 transitions with the 1s-0d shell model with the empirical effective interaction of Brown and Wildenthal and the realistic effective interaction of Kuo and Brown. Fits to the data with the Brown and Wildenthal interaction yield an effective coupling g̃a = -1.01 ± 0.07 and an effective coupling ratio g̃p/g̃a = 6.5 ± 2.4. The value of g̃a is consistent with values of g̃a extracted from β+/β− decay and (p,n)/(n,p) charge exchange data, and the value of g̃p/g̃a is consistent with the predictions of PCAC and pion-pole dominance. We evaluate the nuclear model dependence of these values of g̃a and g̃p/g̃a and examine the role of the Gamow-Teller and other matrix elements in the Na23 → Ne23 transitions. © 1996 The American Physical Society.

muon nucleus: nuclear reaction
muon: capture
capture: muon
sodium: transition
hyperfine structure
photon: emission
emission: photon
photon: yield
shell model
coupling: axial

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