Semileptonic and rare

Semileptonic and nonleptonicBdecays to three charm quarks:B→J/ψ(ηEilam1, Ladisa2, Yang3 2003Phys. Rev. D2053View full textAdd to dashboardCite

“…In three recent papers [14,15,16] an analysis of some semileptonic and rare B-meson decays into one and two light hadrons has been presented; it employs the relativistic potential model in an approximation that renders the calculations simpler. We wish to exploit here this approximation in the study of the B → J/ψ (η c ) D ℓν decay.…”

“…Let us start with a description of the model (for more details see [12,14,15,16]). In this approach the mesons are described as bound states of constituent quarks and antiquarks tied by an instantaneous potential V (r), which has a confining linear behaviour at large interquark distances r and a Coulombic behaviour ≃ −α s (r)/r at small distances, with α s (r) the running strong coupling constant (the Richardson's potential [17] is used to interpolate between the two regions).…”

Semileptonic and rare B meson decays into a light pseudoscalar meson

“…‡ By this choice, the average < m b (k) > does not differ significantly from the value m b fitted from the spectrum, see [3] for details.…”

“…In [3] we argued that, because of its simplicity, this model might be used as a viable alternative to the more fundamental, but still limited theoretical approaches we have discussed above. It is the aim of this paper to extend this analysis to the decays (1) and (2).…”

“…The relativistic kinematics plays an important role when at least one of the two quarks constituting the meson is light, as in our case, and represents an improvement in comparison with the approach based on the non-relativistic quark model. In ( (3); a useful representation in the momentum space was obtained in [3] and is as follows…”