The Instantaneous Approximation to the Transition Matrix Elements between Two Bound States

Details The Instantaneous Approximation to the Transition Matrix Elements between Two Bound States The Instantaneous Approximation to the Transition Matrix Elements between Two Bound States

1994-01-10

arxiv.org/abs/hep-ph/9401225v1

Commun.Theor.Phys.23:451-464,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

27 pages, 3 figures ( not included ), AS-ITP-93-80

Scientific paper

Under the framework of the Bethe-Salpeter (B.S.) wave functions and the Mandelstam formalism as well, to make ``instantaneous approximation'' to a transition matrix element (a current operator sandwiched between two bound-states of double heavy quarks) is described. By taking the typical concerned decays as examples, such as $B_c$ meson decaying to $J/\psi + (\bar l \nu)$, the advantages of the approach and its limitations are illustrated. Finally, potential applications to various processes for possible double heavy flavoured systems, such as those of $(Q' \bar Q)$ and $(Q' Q)$ ($m_Q, m_{Q'}\gg \Lambda_{QCD}$), are discussed.

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