Isospin mass splittings of hadrons with heavy quarks

Abstract

Following the previous proposal that isospin mass splittings of hadrons can be extracted in a model-independent way by the quark-mass interpolation scheme, we derived a compact expression for the mass splittings of baryons and mesons. We have shown that the mass splitting approaches the asymptotic limit within 0.3 MeV for a quark mass greater than 5 GeV. Therefore we can predict the isospin mass splittings of hadrons containing any unknown heavy quarks. In particular $M^{\mathrm{*}+}$(ut¯ )-$M^{\mathrm{*}0}$(dt¯ ) ≊$M^{+}$(ut¯ )=-3.7 MeV.