Gaussian求和规则与D_s(0^+)介子  

Gaussian Sum Rules and D_s(0^+) Meson

作　　者：刘觉平[1] 闻水国[1] 

机构地区：[1]武汉大学物理科学与技术学院,湖北武汉430072

出　　处：《武汉大学学报（理学版）》2007年第3期319-322,共4页Journal of Wuhan University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10075036);北京谱仪合作组研究基金资助项目

摘　　要：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).In this paper, the framework of the Gaussian sum rules is used to reduce the interference from the background of the excited states and the continuum. First, the Gaussian sum rule for the Ds（0^＋） meson current is obtained by means of Laplace transformation. Based on it, the Gaussian sum rules for the mass and the decay constant of Ds（0^＋） meson are then worked out to be mGauss=2.41±0.05±0.15 GeV and fGauss=0.30±0.02 GeV. Using the standard input of QCD universal parameters, the corresponding curves and tables are presented. The result we get is smaller than the results of Borel sum rule （mBorel = 2. 48±0. 03 GeV）, but they are well in accordance with the experimental data （mexp=2. 317 6±0. 001 3 GeV） within the bounds of the theoretical estimate.

关 键 词：量子色动力学 Gaussian求和规则 Borel求和规则 Ds(0^+)介子 

分 类 号：O572.339[理学—粒子物理与原子核物理]