A Unified Model of the One-Boson- and Reggeon-Exchange Mechanism inN-NandN-$\bar{N}$ Interaction

Abstract

This is an application of our extended-boson exchange amplitude to p-p and p-p scatter­ ing at high energies (10-'30GeV) and at forward angles with iti:$1(GeV/c)2• The amplitude is constructed such that it is reducible to the one-boson exchange amplitude in the low energy region, while it tends to the Reggeon-exchange amplitude at small angles and to a modified one-boson-exchange amplitude at large angles in the high energy region. We find that our amplitude is quantitatively adaptable to both data of the low and high energies with It I :$1 (GeV/c) 2• For the last decade many people have reported fair success m description of N-N and N-N interactions in terms of the one-boson-exchange modePl~ 6) in the low energy region (E$1Ge V) and the Regge pole model6l in the high energy region (E> lOGe V). In this situation we believe that unification of both models is quite worthwhile. The Veneziano model is one of trials for such unification. However some difficulties have been reported in its application to N-N and N-N problems.7l Recently we have proposed an extended-boson-exchange (EBE) amplitude for non-diffractive part of the N-N and N-N interactions. 8l The extended boson is described by a bilocal field representing a space-time extension of the boson. We have shown that, with an appropriate choice of a function for describing the space-time extension, the EBE amplitude can be reduced to the one-boson-exchange amplitude in the low energy region, while it tends to a Reggeon-exchange amplitude at forward angles and to a modified one-boson-exchange amplitude at large angles in the high energy region. With this property the EBE amplitude makes the unification of the one-boson-exchange model (OBEM) and the Regge pole model (RPM). This paper reports a result of quantitative application of the EBE amplitude to the N.N and N-N problems and shows that fits of the amplitude to the low and high energy data are satisfactory. We set up a model as follows. The whole amplitude for N-N and N-N scattering is divided into diffractive and non­ diffractive part. Possible contribution from the resonance formation in N-N scat­ tering is now classified into the diffractive part. The non-diffractive part is assumed to be a. sum of the one-n-, one-0-, one-w-, one-{5-, and one-!0- exchange amplitudes where we use notations w, i5 and lo for the extended ()), p and fo