Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2004-06-09
Phys.Rev. D70 (2004) 094046
Physics
High Energy Physics
High Energy Physics - Phenomenology
We oversight a term in eq.(106). After adding this term, our result agree with that in ref.[6]
Scientific paper
10.1103/PhysRevD.70.094046
Since effective potentials derived from Feynman diagrams are naturally given in momentum space, we formulate the non-relativistic Coulomb problem entirely in momentum representation. We give momentum wave functions for all quantum numbers in one-dimensional integrals, even though they can be evaluated. Angular momentum decomposed Green's functions are then compactly represented. We apply this formalism to investigate the next to next leading order charm effects on 1S bottomonium level shift. Our one insertion results are given completely in analytic form and numerically agree with previous results. Our two insertion results are also in agreement. The net effect of finite charm mass is to decrease the bottom mass by 33 MeV, as determined through the measured 1S energy.
Wang Hai-bin
Yao York-Peng
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