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\cite{Nambu-Goto} $V(r)=-\frac{\gamma }{r}+\sigma r+{\mu }_0$. 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 ($\sim 10^{19}GeV$) asymptotically at an astronomically large spatial dimension (we call it Planck dimension) $D_{Planck}\sim 10^{11}$, which sets the limit of applicability of Schrodinger equation in large dimension.

References in corpus (6)

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• Heavy-heavy-light quark potential in SU(3) lattice QCD
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Cited by in corpus (6)

• Masses and Thermodynamics Properties of Heavy Mesons in the Non-Relativistic Quark Model Using Nikiforov-Uvarov Method
• Trigonometric Rosen-Morse Potential as the Quark-Antiquark Interaction Potential for Meson Properties in the Non-Relativistic Quark Model Using EAIM
• Dissociation of Quarkonium in hot and Dense Media in an Anisotropic Plasma in the Non-Relativistic Quark Model
• Heavy-Light Mesons in the Non-Relativistic Quark Model Using Laplace Transformation Method
• Quarkonium Masses in a hot QCD Medium Using Conformable Fractional of the Nikiforov-Uvarov Method
• A model of mesons in finite extra-dimension