Elsevier

Nuclear Physics A

Volume 154, Issue 1, 28 September 1970, Pages 160-176
Nuclear Physics A

Least-squares adjustment of the coupling constants in β-decay

https://doi.org/10.1016/0375-9474(70)91077-8Get rights and content

Abstract

An attempt is made to determine the best values of the coupling constant ratios CACV, CSCV, CTCV, C′VCV, C′ACV, C′SCV, C′TCV from all relevant measurements on allowed decays (75 data), by a least-squares adjustment program. With two exceptions, no assumptions on matrix elements are made, i.e. only neutron decay and pure Fermi or Gamow-Teller transitions are used. We assume lepton conservation and CP = 0, we neglect induced terms and the influence of finite nuclear size and screening. We obtain CSCV = −0.001 ± 0.006, CTCV = −0.0004 ± 0.0003 if CS = C'S, CT = C'T., but without assumptions on the remaining ratios. Further, C′VCV = 0.82−0.13+0.40, C′ACA = 1.10 ± 0.06, independent of CS, CT. If C'V = CV, C'A = CA is assumed, one finds CACV = −1.262 ± 0.008, independent of CS, CT. Inclusion of ft(n) and ft(4O) yields CACV = −1.240 ± 0.007. For the time reversal parameter, we have ϕ = 178.6 ± 0.9° for a pure V-A interaction with Ci = C'i.

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