Pseudo-neutrino versus recoil formalism for 4-body phase space and applications to nuclear decay
It is well known that the traditional treatment of radiative corrections that utilizes the “true” neutrino momentum ⃗pv in the differential decay rate formula could lead to a ~α/π systematic error in certain observables due to the mistreatment of 4-body kinematics. I investigate the theory structure of one of the proposed solutions, the “v'-formalism”, in the nonrecoil limit appropriate for neutron and nuclear β decays. I derive an elegant master formula for the 4-body phase space and use it to reanalyze the spectrum-dependent “outer” radiative corrections to the β decay of a polarized spin-half nucleus; a complete set of analytic expressions is provided for readers to straightforwardly obtain the final numerical results. Furthermore, I compare it to the “recoil formalism” where the energy of the recoil nucleus is fixed.
- Research Organization:
- Michigan State University, East Lansing, MI (United States); University of Washington, Seattle, WA (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- Grant/Contract Number:
- SC0013617; FG02-97ER41014; SC0023663
- OSTI ID:
- 2477915
- Journal Information:
- Physical Review. C, Journal Name: Physical Review. C Journal Issue: 3 Vol. 109; ISSN 2469-9985
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Similar Records
Additional radiative-recoil corrections to muonium and positronium hyperfine splitting
Recoil corrections in the hydrogen isoelectronic sequence