Analysis of OPAL Bose-Einstein Correlation at $Z^0$-pole by the second conventional formula

We can obtain a second conventional formula ($\mathrm{C}{\mathrm{F}}_{\mathrm{I}\mathrm{I}}$) with two components by extending the conventional formula $\mathrm{C}{\mathrm{F}}_{\mathrm{I}}$ with one component for Bose-Einstein Correlation (BEC). We used $\mathrm{C}{\mathrm{F}}_{\mathrm{I}\mathrm{I}}$ to analyze the BEC at $Z^0$-pole as part of the OPAL collaboration. $R_1({\rm G})=0.91\pm 0.03$fm($\lambda_1=0.61\pm 0.03$)and$R_2({\rm G})=2.57\pm 0.44$fm($\lambda_1=0.35\pm 0.09$)aretheestimatedinteractionregion,where$\lambda_1$and$\lambda_2$ are the degrees of coherence, and G is the Gaussian distribution, respectively. Long range correlation (LRC) is also studied.