Masses of Heavy Flavour Mesons in a potential Model Approach with Wave Function containing Airy's Infinite Series

Abdul Aziz; Sabyasachi Roy; Atri Deshamukhya

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arXiv · 2204.10802

Masses of Heavy Flavour Mesons in a potential Model Approach with Wave Function containing Airy's Infinite Series

Abdul Aziz·Sabyasachi Roy·Atri Deshamukhya

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Abstract

We report the masses of $B$ and $D$ sectors heavy-flavoured mesons obtained by using our recently developed meson wave function employing potential model approach with linear confinement term in potential as parent in the perturbation method. As the wave-function involves infinite Airy's polynomial series, in carrying out the mass calculation, to avoid divergences, we have introduced some cut-off parameter for inter-quark separation. Our results for ground state masses of heavy-flavoured $B$ and $D$ sector mesons are reasonably closer to the PDG masses.

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Abdul Aziz, Sabyasachi Roy, Atri Deshamukhya. 2022-04-22. Masses of Heavy Flavour Mesons in a potential Model Approach with Wave Function containing Airy's Infinite Series. https://arxiv.org/abs/2204.10802

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