A Formula Describing Inclusive Reactions in the Whole Kinematical Region Including Two-Body Large Angle Scattering

Abstract

where S.=2Cnax+ncx)r-1, S-=2(nbx+ ncx)r-1, x 1=u*ls, x2=t*ls, x=1Mx2ls, x=2q11 '1/s and mr2 =mc2 +q.l 2 ~ t*u* Is. Here we follow the notations summarized in the Appendix of Ref. 3). The number of valence bond (flow of valence urbaryon lines) connecting i and j in the reaction ab~cX is denoted as niJ• as shown in Fig. 1. Equation (1) has a discontinuity at x=O if nax~nbx· It was suggested to improve the formula (1) by replacing (1x) f!. with (1-x 1) fi• (1-x 2) fi-Y However, this replacement destroys a good property of (1) that p vanishes in the kinematical boundary £=1 for S±>O. In this note I would like to show that the following version of (1) is able to describe not only the inclusive spectra at both large and small transverse momenta, but also differential cross sections of two-body reactions at large angles: p =F(mr2) x 12<na•+n.,Jr x 22(na•+n.,Jr