Multiple scattering with rearrangement

2014 Nucleus-nucleus scattering with rearrangement of nucleons between the projectile and target nuclei is discussed. The approximated Watson and Glauber formulae for these collisions are derived. The example of the antisymmetrization term in elastic proton-nucleus scattering is considered. LE JOURNAL DE PHYSIQUE TOME 39, OCTOBRE 1978, Classification Physics Abstracts 25.10 25.90 . The theory of multiple scattering was formulated by Watson in the early fifties [1]. A few years later Glauber developed the model of shadow scattering [2]. At present the interconnections between the Watson theory and Glauber approximation are well understood [3], and the Glauber model is being successfully applied for high-energy hadron-nucleus scattering [4]. Recently various extensions of the model which take into account the non-eikonal effects have been elaborated [5]. The aim of this work is to develop a generalization of the Watson and Glauber approaches for the collisions with exchange of nucleons between the projectile and target nuclei. In particular, these exchanges might be quite important in elastic protonnucleus scattering at backward angles [6]. Let us consider a rearrangement process with the nuclei A and B in the entrance channel, and the nuclei C and D in the exit channel ; A, B, C, D will also denote the atomic numbers of respective nuclei. We consider a transfer of K nucleons from B to C, thus C = A + K, D = B K. The total Hamiltonian may be written as : H = Hi + Vi = Hf + Vf (1) where H;, Hf are the free Hamiltonians in the two channels, each being composed of the two nuclear Hamiltonians and of the channel kinetic energy. For the initial channel we write the interaction