Dip-Bump Structure of Cross Section and Urbaryon Rearrangement

In a previous letter (referred to as I), IJ we pointed out that dynamical characteristics of hadron reactions are interpreted by the rearrangement diagram of urbaryon lines (URD).2l In particular, the H-type (s-t dual) URD amplitude is characterized by a constant value b0 of impact parameter of s-channel resonances (generalized Ogawa's rule2J) and gives a dip-bump structureofda/dtwith lt0 l:lt1 l:lt2l !::::1: 4:9, where lt0 l, lttl and lt2l denote the first, second and third dips respectively.0 As a next step, we examine the dynamical structure of URD amplitudes, taking the elastic n:N amplitude/(s, t) +o · ng (s, t) for illustration. For the n+p H-type amplitude, we take account of J 6 resonances corresponding to a constant b0 and neglect all non-resonant waves for simplicity. By approximating the imaginary (real) part of the J 6 series Breit-Wigner formula by iJ(b-b0) (iJ' (b -b0)) in the impact parameter representation along the way of I, we obtain