Estimates of md−mum_d - m_u and ⟨dˉd⟩−⟨uˉu⟩\langle\bar{d}d\rangle - \langle\bar{u}u\rangle from QCD sum rules for DD and D∗D^{\ast} isospin mass differences

preprint1993arXivOpen access

Abstract

The recent experimental data on D+−D0D^{+}-D^{0} and D∗ +−D∗ 0D^{\ast\, +}-D^{\ast\,0} mass differences are used as inputs in the QCD sum rules to obtain new estimates on the mass difference of light quarks and on the difference of their condensates: md−mu=3±1 MeVm_d -m_u =3\pm 1\, MeV, ⟨dˉd⟩−⟨uˉu⟩=−(2.5±1)⋅10−3⟨uˉu⟩\langle\bar{d}d\rangle -\langle\bar{u}u\rangle = -(2.5\pm 1)\cdot 10^{-3}\langle\bar{u}u\rangle (at a standard normalization point, μ=0.5 GeVμ= 0.5\, GeV).

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