中文

包含辐射修正与相对论修正的格点 NRQCD 底偶素超精细分裂

高能物理 - 格点 2015-08-05 v2 高能物理 - 唯象学

摘要

我们利用格点非相对论 QCD (NRQCD) 计算了底偶素的超精细分裂。该计算包含了直至 O(v6)O(v^6) 阶的自旋依赖相对论修正、对主导自旋 - 磁耦合的辐射修正,以及首次纳入的在 αs2v3\alpha_s^2 v^3 阶出现的非微扰四夸克相互作用。我们还包含了 u,d,su,d,scc 夸克真空极化的效应。我们得到的 1S 超精细分裂结果为 M(Υ,1S)M(ηb,1S)=60.0(6.4)M(\Upsilon,1S) - M(\eta_b,1S)= 60.0(6.4) MeV。我们发现 2S 与 1S 超精细分裂的比值为 (M(Υ,2S)M(ηb,2S))/(M(Υ,1S)M(ηb,1S))=0.445(28)(M(\Upsilon,2S) - M(\eta_b,2S))/ (M(\Upsilon,1S) - M(\eta_b,1S)) = 0.445(28)

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引用

@article{arxiv.1309.5797,
  title  = {Bottomonium hyperfine splittings from lattice NRQCD including radiative and relativistic corrections},
  author = {R. J. Dowdall and C. T. H. Davies and T. Hammant and R. R. Horgan and C. Hughes},
  journal= {arXiv preprint arXiv:1309.5797},
  year   = {2015}
}

备注

6 pages, 3 figures. An error was recently found in the coefficients of the 4-quark operators in the lattice NRQCD action that we use here. We have therefore redone this calculation with the corrected coefficients and give the full updated version of the paper here