Analysis of hadron interferometry by means of laser optical approach

Study of the hadron interferometry, i.e., the HBT effect of identical pions and kaons, is one of current interests in high energy physics and nuclear reactions. Various theoretical formulas have been proposed for the estimation of the interaction region. The present report discusses several formulas that are currently available and points out that some data indicate dip structures. A new formula is derived to explain these dip structures. Thus, a formula based on laser optics is outlined first and the dip structures are discussed focusing on the formula proposed by Aihara et al. Then the report discusses a formula based on a color string model, Coulomb interaction, final state interaction, and a formula proposed by Bowler. Finally, a new formula is proposed. The final state interaction affects the Feyman-like diagram for identical pion production and also affects the short-range momentum transfer. Thus, the new formula is similar to the above formulas for Coulomb interaction and final state interaction. The new formula satisfies the BEC correlation and strong final state interaction between identical pions. It is applied to data obtained from the TPC Collaboration and preliminary data from the CDF Collaboration and found to be able to explain these data better than other formulas. (N.K.)