Effective string theory inspired potential and meson masses in higher dimension

Abstract

Nambu-Goto action in classical bosonic string model for hadrons predicts quark-antiquark potential to be[1] V (r) = − γ r + σr + µ0. In this report we present studies of masses of heavy flavour mesons in higher dimension with our recently developed wave functions obtained following string inspired potential. We report the dimensional dependence of the masses of mesons. Our results suggest that as the meson mass increases with the number of extra spatial dimension, it will attain the Planck scale (∼ 10 19 GeV ) asymptotically at an astronomically large spatial dimension (we call it Planck dimension) D P lanck ∼ 10 11 , which sets the limit of applicability of Schrodinger equation in large dimension.

Heavy-Light Mesons in the Nonrelativistic Quark Model Using Laplace Transformation Method

“…Therefore, the present results of the mass spectra of heavy-light mesons are in a good agreement in comparison with the results of the Ref. [91].…”

“…This behavior is agreement with Ref. [91]. The decay constants of the pseudoscalar and vector mesons have been computed in Tables (7-8 Therefore, the present method with the present potential gives good results for heavy-light meson which are in good agreement with experimental data and are improved in comparison with recently theoretical works.…”

“…The influence of the dimensional number on the masses of the heavy-light mesons is not considered in the works [72-74, 81, 88-89, 96]. Roy and Choudhury [91] have presented a study of masses of heavy flavor mesons in the higher dimensional space using string inspired potential. They found that the meson mass increases with the dimensional number.…”

“…By using the Gaussian wave function with quarkantiquark potential model the Regge trajectories, spectroscopy and decay properties have been studied for B and B s mesons [88], D and D s mesons [89], and also the radiative transitions and the mixing parameters of the D-meson have been obtained [90]. The dimensional dependence of the masses of heavy-light mesons has been investigated using the string inspired potential model [91].…”

Trigonometric Rosen–Morse Potential as a Quark–Antiquark Interaction Potential for Meson Properties in the Non-relativistic Quark Model Using EAIM

“…This finding is an agreement with Refs. [26][27][28][29][30][31], in which the entropy increases with increasing temperature for the diatomic molecules In Fig. (6), we note that internal mean energy (U) decreases with increasing of .…”