U(3)×U(3)线性σ模型下赝标量介子的衰变常数和标量介子的质量

The decay constants of the pseudoscalars and masses of scalars in a U(3)×U(3) linear σ model

通过对U(3)×U(3)线性σ模型进行的研究,首先给出了两个混合角描述方式下的赝标量介子η,η′的衰变常数的表达式,然后,以赝标量介子质量和衰变常数fπ,fK为输入参数计算了η,η′的衰变常数以及标量介子的质量和混合角.认为给出的衰变常数值与其他理论研究一致,并且发现标量介子σ的质量约为600MeV,其他标量介子质量在1GeV以上.

In this paper we investigate the U（3）×U（3） linear σ model.We give the formulae of the decay constants for pseudoscalars η,η′ with two mixing angle mechanism in different bases.Then we calculate decay constants of η,η′ and investigate the masses of scalars and scalar mixing angle by taking masses of pseudoscalars and decay constants fπ,fK as input.The decay constants are consistent with other research and we find the mass of σ meson is about 600 MeV,and other scalars have masses above 1 GeV.