Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-05-05
Phys.Rev.D52:4028-4037,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
16 pages and 5 Figures, SLAC-PUB-6487
Scientific paper
10.1103/PhysRevD.52.4028
We consider the transitions between electromagnetic bound states, such as the exclusive weak decay of a muonic atom into an electronic atom: $(\mu^- Z) \to (e^- Z) {\bar \nu_e }\nu_\mu . $ We show that relativistic effects in the atomic wavefunctions are crucial for determining the rate. In the case of heavy atoms, the exclusive channel branching ratios exceed $10^{-6},$ possibly bringing the study of these rare decays within experimental reach. Such processes thus provide a detailed laboratory for studying the high momentum tail of wavefunctions in atomic physics; in addition, they provide a simple toy model for investigating analogous exclusive heavy hadronic decays in quantum chromodynamics such as $B \to \pi e \nu.$
Brodsky Stanley
Greub Christoph
Munger C.
Wyler Daniel
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