Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-08-30
Phys.Lett.B416:208-215,1998
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTex, 14 pages. Three references added. Version to appear on Physics Letters B
Scientific paper
10.1016/S0370-2693(97)01309-9
Using the Cottingham formula, we give an estimate of the electromagnetic mass splitting of pseudoscalar heavy mesons in the beauty and charm sector. We include in the dispersion relation the Born term, the $1^-$ resonance and the positive parity $1^+$ resonance. We also evaluate the contribution to the mass difference from the isospin breaking quark mass differences. Our results: $m_{B^+}-m_{B^0} = - 0.83\pm 0.34 MeV$ and $m_{D^+}-m_{D^0} = + 4.33\pm 0.37 MeV$, are in agreement with the experimental measurements: $m_{B^+}-m_{B^0} = - 0.35\pm 0.29 MeV$ and $m_{D^+}-m_{D^0} = + 4.78\pm 0.10 MeV$. We also compute the mass differences in the infinite heavy quark mass limit, which show small deviations from the finite mass results for the B case and 30% effects in the charm case.
Colangelo Pietro
Ladisa Massimo
Nardulli Giuseppe
Pham Tri Nang
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