Gaussian求和规则与Ds(0+)介子

采用Gaussian求和规则计算Ds(0 )介子的质量.首先,通过Laplace变换得到了Ds(0 )介子流的两点函数以及谱函数的Gaussian变换;进而导出了关于Ds(0 )介子的质量与衰变常数的Gaussian求和规则;采用QCD标准的普适输入参数,得到了关于Ds(0 )介子质量与衰变常数的数值结果:mGauss=2.41±0.05±0.15 GeV和fGauss=0.30±0.02 GeV,所得的结果比Borel求和规则的结果(mBorel=2.48±0.03 GeV)要低,在理论计算误差范围内与Borel求和规则的结果相比更符合实验结果(mexp=2.317 6±0.001 3 GeV).     

Ds（0^±） Meson Spectroscopy in Gaussian Sum Rules

Masses of the Ds（0^±） mesons are investigated from a view-point of ordinary light-heavy system in the framework of the Gaussian sum rules, which are worked out by means of the Laplacian transformation to the usual Borel sum rules. Using the standard input of QCD non-perturbative parameters, the corresponding mass spectra and couplings of the currents to the Ds（0^±） mesons are obtained. Our results are mDs（0-） = 1.968±0.016±0.003 GeV and mDs（0＋） = 2.320 ±0.014 ± 0.003 GeV, which are in good accordance with the experimental data, 1.969 GeV and 2.317 GeV.