Influence of final state interaction on incoherent pion photoproduction on the deuteron in.pdf

MKPH-T-02-06 Influence of final state interaction on incoherent pion photoproduction on the deuteron in the region of the ∆-resonance ∗ E.M. Darwish , H. Arenh¨ovel, and M. Schwamb Institut f¨ur Kernphysik, Johannes Gutenberg-Universit¨at, D-55099 Mainz, Germany (Dated: February 4, 2008) The influence of final state NN- and πN -rescattering in incoherent pion photoproduction on the deuteron has been investigated. For the elementary photoproduction operator an effective Lagrangian model is used which describes well the elementary reaction. The interactions in the final two-body subsystems are taken in separable form. While NN-rescattering shows quite a significant effect, particularly strong for neutral pion production, πN -rescattering is almost negligible. Inclusion of such effects leads to an improved and quite satisfactory agreement with experiment. 2 0 PACS numbers: 13.60.Le, 21.45.+v, 25.20.Lj 0 2 g I. INTRODUCTION u A The particular interest in pion photoproduction on the deuteron lies in the fact that the simple and well known 6 deuteron structure allows one to obtain information on the production process on the neutron which otherwise is 1 difficult to obtain in view of the absence of any free neutron targets. The essential idea behind this reasoning i