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Tensor force in HQET and the semileptonic B¯ decay to excited vector mesons D(32,1)

F. Jugeau*, A. Le Yaouanc, L. Oliver, and J.-C. Raynal

  • Laboratoire de Physique Théorique§ Université de Paris XI, Bâtiment 210, 91405 Orsay Cedex, France

  • *Electronic address: frederic.jugeau@th.u-psud.fr
  • Electronic address: leyaouan@th.u-psud.fr
  • Electronic address: oliver@th.u-psud.fr
  • §Unité Mixte de Recherche UMR 8627 - CNRS

Phys. Rev. D 74, 017502 – Published 14 July, 2006

DOI: https://doi.org/10.1103/PhysRevD.74.017502

Abstract

We extend the formalism of Leibovich, Ligeti, Stewart and Wise in the 1/mQ expansion of Heavy Quark Effective Theory for the B¯ semileptonic decays into excited D(32+) mesons to the opposite parity states D(32). For D(32+) the 1/mQ current perturbation dominates over the leading term at zero recoil, while for D(32) the 1/mQ perturbation due to Lmag dominates also at zero recoil. We show that the corresponding 1/mQ magnetic coupling is proportional to the mixing between the states D(32,1) and D(12,1) induced by the tensor force. We point out some subtleties that appear in this respect in HQET.

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References (3)

  1. A. De Rújula, H. Georgi, and S. L. Glashow, Phys. Rev. D 12, 147 (1975).
  2. A. Leibovich, Z. Ligeti, I. Stewart, M. Wiseand , Phys. Rev. D 57, 308 (1998).
  3. A. Falk, Nucl. Phys. B378, 79 (1992).

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