Confinement effect and masses of light-heavy mesons in finite extra dimension

Masses of Heavy Flavour mesons in a space with one finite extra-dimension

“…In [11],with purely coulomb potential in a space with one finite extra-dimension,it was observed that masses increase with size of extra-dimension. The pattern is similar in [12] and in this work. But,the allowed size of extra-dimension in [11] is L ≤ 13 × 10 −17 m , and in [12],it is L ≤ 10 −7 GeV −1 (2 × 10 −23 m).…”

“…The pattern is similar in [12] and in this work. But,the allowed size of extra-dimension in [11] is L ≤ 13 × 10 −17 m , and in [12],it is L ≤ 10 −7 GeV −1 (2 × 10 −23 m). In this work, the allowed range of extra-dimension is L ≤ 10 −18 m(0.001GeV −1 ),which agrees with [11] and is well within the different theoretical and experimental limits of extra-dimension as summarised in Table .3.…”

“…Let us compare the present result with the results of previous works [11] and [12]. In [11],with purely coulomb potential in a space with one finite extra-dimension,it was observed that masses increase with size of extra-dimension.…”

“…Similarly,for vector mesons [23], where,M and m are the masses of Heavy quark/anti-quark and light quark/anti-quark respectively and α s is the strong coupling constant. It is to be noted that unlike previous works [11,12],the WFO is well defined here.…”

“…,where a 0 | QCD = 3 16µαs ,α s is the strong coupling constant and µ is the reduced mass of mesons and calculated the masses of a few heavy flavour mesons with coulomb potential in the absence of confinement and linear potential in the absence of coulomb in our previous works [11], [12].…”