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

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

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