Muon charge exchange and muonium spin exchange in gases
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Abstract
The spin dynamics of the positive muon undergoing cyclic charge exchange (μ+⇌Mu) while it is slowing down is compared with that in the case of repeated muonium spin exchange after thermalization. The expectation value of the spin polarization at timet aftern spin exchange collisions (att 1,t 2, ...,t n ) are calculated explicitly from time dependent wave functions, and the quantity is averaged over the statistical distribution of the times of collisions and over all possible numbers of collisions betweent=0 and the observation timet. This result is complementary and equivalent to the conventional density matrix formalism, but offers an insight into the roles of spin flip and spin non-flip processes. The neutral fraction during slowing down is also discussed.
Keywords
Thin Film Wave Function Density Matrix Charge Exchange Matrix FormalismReferences
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