Electromagnetic Simulation of Time-Reversal Violation in Mirror Spin- 3 2 Beta Decays
1969; American Institute of Physics; Volume: 185; Issue: 5 Linguagem: Inglês
10.1103/physrev.185.2003
ISSN1536-6065
Autores Tópico(s)Advanced NMR Techniques and Applications
ResumoWith time-reversal invariance, the $\ensuremath{\beta}$-decay correlation $(\frac{〈\mathrm{J}〉}{J})\ifmmode\cdot\else\textperiodcentered\fi{}{\mathrm{p}}_{l}\ifmmode\times\else\texttimes\fi{}{\mathrm{p}}_{\ensuremath{\nu}}$, where $\frac{〈\mathrm{J}〉}{J}$ is the polarization of the decaying nucleus and ${\mathrm{p}}_{l}$ (${\mathrm{p}}_{\ensuremath{\nu}}$) is the momentum of the electron (neutrino), can arise only through a final-state electromagnetic interaction. For allowed transitions with vector and axial-vector couplings, this effect is recoil-dependent. It was shown by Callan and Treiman that this effect, for the special class of spin-\textonehalf{} mirror transitions, and the assumption of the conserved-vector-current (CVC) hypothesis, is dominated by weak magnetism. A corresponding calculation for the class of spin-$\frac{3}{2}$ mirror transitions, of which the decay ${\mathrm{Ar}}^{35}\ensuremath{\rightarrow}{\mathrm{Cl}}^{35}+{e}^{+}+{\ensuremath{\nu}}_{e}$ is an example, shows a similar domination by weak magnetism. The magnitude of this effect is estimated for several mirror $\ensuremath{\beta}$ transitions.
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