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The tensor force in Heavy Quark Effective Theory

F. Jugeau·A. Le Yaouanc·L. Oliver·J. -C. Raynal
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Abstract

We extend the formalism of Leibovich, Ligeti, Stewart and Wise in the 1/m_Q expansion of Heavy Quark Effective Theory for the B semileptonic decays into excited D[(3/2)^+] mesons to the opposite parity states D[(3/2)^-]. For D[(3/2)^+] the 1/m_Q current perturbation dominates over the leading term at zero recoil, while for D[(3/2)^-] the 1/m_Q perturbation due to L_mag dominates also at zero recoil. We show that the corresponding 1/m_Q magnetic coupling is proportional to the mixing between the states D[(3/2)^-] and D[(1/2)^-] induced by the tensor force. We point out some subtleties that appear in this respect in HQET.

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F. Jugeau, A. Le Yaouanc, L. Oliver, J. -C. Raynal. 2006-06-20. The tensor force in Heavy Quark Effective Theory. https://doi.org/10.1103/physrevd.74.017502

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