Effects to Scalar Meson Decays of Strong Mixing between Low and High Mass Scalar Mesons

摘要

We analyze the mass spectroscopy of low and high mass scalar mesons and getthe result that the coupling strengths of the mixing between low and high massscalar mesons are very strong and the strengths of mixing for $I=1, 1/2$ scalarmesons and those of I=0 scalar mesons are almost same. Next, we analyze thedecay widths and decay ratios of these mesons and get the results that thecoupling constants $A'$ for $I=1, 1/2$ which represents the coupling of highmass scalar meson $N'$ -> two pseudoscalar mesons $PP$ are almost same as thecoupling $A'$ for the I=0. On the other hand, the coupling constant $A$ for$I=1, I=1/2$ which represents the low mass scalar meson $N$ -> $PP$ are farfrom the coupling constant $A$ for I=0. We consider a resolution for thisdiscrepancy. Coupling constant $A''$ for glueball $G$ -> $PP$ is smaller thanthe coupling $A'$. $\theta_P$ is $40^\circ \sim 50^\circ$.