Erratum to 'M(13c*)-M(Bc) splitting from nonrelativistic renormalization group'[Phys. Lett. B 593 (2004) 124]

摘要

After Eq. (20) the expression for the Coulomb binding energy should be g = —Clas2mr/(2n2). In Eqs. (20), (22) the overall factor 41,2 ..r is missed. This changes the numerical analysis of Section 4. The perturbative error reduces to 11 MeV. The uncertainty introducedmi In2 by the error of as(Mz) is reduced to +1.4 MeV. The nonperturbative effects scale with the heavy quark masses at least as 1/(mi m2mr).Thus, from the analysis of charmonium system we obtain 3 MeV for the typical size of the nonperturbative contribution to the HFSin 8,, and take 10 MeV as a conservative estimate of the corresponding uncertainty. The final numerical result for the splitting becomesM(8,*)— M(8,)= 48 ±15(th)±111(Sas). The corrected Figs. 1 and 2 are given below.