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Isgur–Wise function and a new approach to potential model

Tapashi Das

Department of Physics, Gauhati University, Guwahati-781014, India

E-mail Address: t4tapashi@gmail.com

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D. K. Choudhury

Department of Physics, Gauhati University, Guwahati-781014, India

Physics Academy of North-East, Guwahati-781014, India

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, and

K. K. Pathak

Department of Physics, Arya Vidyapeeth College, Guwahati-781016, India

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https://doi.org/10.1142/S0217751X1650189XCited by:12 (Source: Crossref)

Abstract

Considering the Cornell potential $V (r) = - \frac{4 α_{s}}{3 r} + b r + c$ $V (r) = - \frac{4 α_{s}}{3 r} + b r + c$ , we have revisited the Dalgarno’s method of perturbation by incorporating two scales $r^{short}$ $r^{short}$ and $r^{long}$ $r^{long}$ as integration limit so that the perturbative procedure can be improved in a potential model. With the improved version of the wave function the ground state masses of the heavy–light mesons $D$ $D$ , $D_{s}$ $D_{s}$ , $B$ $B$ , $B_{s}$ $B_{s}$ and $B_{c}$ $B_{c}$ are computed. The slopes and curvatures of the form factors of semileptonic decays of heavy–light mesons in both HQET limit and finite mass limit are calculated and compared with the available data.

Keywords:

PACS: 12.38.-t, 12.39.Pn

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