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Decay constants of P-wave mesons

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arxiv 0705.2621 v1 pith:N6ERYD6R submitted 2007-05-18 hep-ph

Decay constants of P-wave mesons

classification hep-ph
keywords waveparityconstantsdecayfunctionschargeconjugationmesons
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Decay constants of $P$-wave mesons are computed in the framework of instantaneous Bethe-Salpeter method (Salpeter method). By analyzing the parity and possible charge conjugation parity, we give the relativistic configurations of wave functions with definite parity and possible charge conjugation parity. With these wave functions as input, the full Salpeter equations for different $P$-wave states are solved, and the mass spectra as well as the numerical values of wave functions are obtained. Finally we compute the leptonic decay constants of heavy-heavy and heavy-light $^3P_0$, $^3P_1$ and $^1P_1$ states.

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  1. Decay constants of the two-pole $D_0^*(2300)$

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    Molecular two-pole D0*(2300) decay constants are 65 and 81 MeV—much smaller than compact c¯q estimates—and imply Cabibbo-favored b-hadron branching fractions of order 10^{-5}.