A model of mesons in finite extra-dimension

Abstract

Recently, the problem of stability of the H atom has been reported in extra-finite dimension, and found out that it is stable in extra-finite dimension of size R ≤ a0/4, where a0 is the Bohr radius. Assuming that heavy flavoured mesons also have such stability controlled by the scale of the coupling constant, we obtain corresponding QCD Bohr radius, and it is found to be well within the present theoretical and experimental limit of higher dimension. We then study its consequences in their masses using effective string-inspired potential model in higher dimension. Our analysis suggests that an extra-dimension of size 0.007 × 10−15 m ≤ L ≤ 0.13 × 10−15 m can account for the masses of heavy flavoured mesons under study within their experimental uncertainty without confinement effects. This range is well below the present theoretical and experimental limits on the size of extra-dimension.