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The Heavy-Light Spectrum from Lattice NRQCD

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arxiv hep-lat/9512025 v1 pith:7RDVLVRA submitted 1995-12-19 hep-lat

classification hep-lat
keywords heavy-lightquarksplittingexperimentheavylatticespectrumable
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We present a lattice investigation of heavy-light mesons in the quenched approximation, using non-relativistic QCD for the heavy quark and a clover improved Wilson formulation for the light quark. A comprehensive calculation of the heavy-light spectrum has been performed for various heavy quark masses around the $b$. Our results for the $B_s-B_d$ splitting agree well with the experimental value. We find the $\Lambda_b-B$ splitting to be compatible with experiment, albeit with large error bars. Our $B^*-B$ splitting is slightly low, which could be explained as an effect of quenching. For the first time, we are able to estimate the mass of $P$ states at the $B$ and compare them with experiment.

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