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Measurements of the mass difference m(B0) - m(B+) and the energy dependence of the cross-section ratio sigma(e+e- -> B0 Bbar0) / sigma(e+e- -> B+ B-) at Belle and Belle II
Using data samples collected by the Belle and Belle II experiments at the Upsilon(4S) resonance with integrated luminosities of 571 fb^-1 and 365 fb^-1, respectively, we measure the pseudoscalar B-meson mass difference to be m(B0) - m(B+) = (0.495 +/- 0.024 +/- 0.005) MeV/c^2. The results are based on a simultaneous fit to the variable Mbar_bc, which is related to the B momentum, for B0 and B+ candidates; and to the energy dependence of R = sigma(e+ e- -> B0 Bbar0) / sigma(e+ e- -> B+ B-), which is measured using changes in the average center-of-mass energy over the data taking periods. The phase-space hypothesis R = (pB0/pB+)^3, upon which previous measurements rely, is strongly disfavored by our fit; the measured mass-difference value for the phase-space hypothesis also differs significantly from our measurement. We constrain R in a broader energy range than covered by the direct measurement and extract the energy dependence of R in the range from the B Bbar threshold up to 10.59 GeV. We interpret the results using a phenomenological model and constrain the parameters of the B Bbar potential in the isovector channel.