Power law potential and quarkonium

MASS SPECTRA OF HEAVY QUARKONIA AND Bc DECAY CONSTANT FOR STATIC SCALAR-VECTOR INTERACTIONS WITH RELATIVISTIC KINEMATICS

“…This condition is verified by the confining potentials used to describe heavy−quark 1 This approximation is correct to O(v 2 /c 2 ). The ∆ 2 N term in (3) should be properly treated as a perturbation by using trial wavefunctions [43].…”

“…[20,21,43,44]. Further, the static potential [7][8][9][10][11][12][13]30,31,41,42] takes the general form…”

SPECTROSCOPY OF Bc MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD

“…(3) is treated using the reduced Schrödinger equation [29] 1 This approximation is correct to O(v 2 /c 2 ). The ∆ 2 N term in (3) should be properly treated as a perturbation by using trial wavefunctions [28].…”

“…which is an elegant algebraic expression that gives a rapidly convergent binding energy value with high accuracy. Now, in the framework of our semi-relativistic independent particle model the mass levels for an atomlike qQ meson where a light quark q is moving around an almost fixed heavy anti-quark Q, the Salpeter bound-state mass can also be easily obtained from the expression of quark binding energy (28) as…”

Nonrelativistic Quark–antiquark Potential: Spectroscopy of Heavy-Quarkonia and Exotic Susy Quarkonia

“…If the coefficients are calculated at tree level; i.e., c 3 (µ, m) = 1, d(µ) = 0, the potential reduces to the Eichten-Feinberg result [66,67]. And if these coefficients are expanded to order α s (µ) then reduced to a one-loop quarkonium spin-spin interaction in the nonrelativistic case [68][69][70] which is responsible for the hyperfine splitting of the mass levels [71][72][73][74][75][76][77][78][79][80][81][82][83][84]…”