Duality in the non-relativistic harmonic oscillator quark model in the Shifman-Voloshin limit : a pedagogical example

Details Duality in the non-relativistic harmonic oscillator quark model in the Shifman-Voloshin limit : a pedagogical example Duality in the non-relativistic harmonic oscillator quark model in the Shifman-Voloshin limit : a pedagogical example

2000-05-04

arxiv.org/abs/hep-ph/0005039v1

Phys.Lett. B488 (2000) 153-161

Physics

High Energy Physics

High Energy Physics - Phenomenology

11 pages, Latex2e, AMS-LaTeX

Scientific paper

10.1016/S0370-2693(00)00863-7

The detailed way in which duality between sum of exclusive states and the free quark model description operates in semileptonic total decay widths, is analysed. It is made very explicit by the use of the non relativistic harmonic oscillator quark model in the SV limit, and a simple interaction current with the lepton pair. In particular, the Voloshin sum rule is found to eliminate the mismatches of order $\delta m/m_b^2$.

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