https://doi.org/10.1140/epjp/s13360-023-03671-5
Regular Article
Investigations of the semileptonic decays of D and 
into a pseudoscalar meson using the Isgur-Wise functions
School of Physics and Electronics, Central South University, 410083, Changsha, China
Received:
9
October
2022
Accepted:
4
January
2023
Published online:
17
January
2023
The branching ratios of the semileptonic decay widths of the charm mesons are analyzed, using three different models for the Isgur-Wise functions, such as 
, 
, 
and 
, where the form factors of these decays are discussed. The mass spectra of the charm mesons are obtained. We use a potential quark model and consider the non-relativistic Hamiltonian of the charm meson as a bound state of the quark-antiquark system. We take into account the harmonic-type confinement and also Hellmann potential, which is a superposition of the Coulomb and the Yukawa potential. Using the variational approach along with the harmonic oscillator wave functions, we evaluate the mass spectra of the charm mesons, the form factors and the semileptonic decay widths of 
. We present our results for masses of 
and 
, the Isgur-Wise functions, the form factors of the semileptonic decays, and the branching fractions of the semileptonic decays of D and . Our results are motivating.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
