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29 March 2024
 
  » arxiv » nucl-th/9704024

 Article overview


Coherent two pion photoproduction on 12C
S.S. Kamalov ; E. Oset ;
Date 12 Apr 1997
Journal Nucl.Phys. A625 (1997) 873-892
Subject nucl-th
AffiliationUniversidad de Valencia
AbstractWe develop the formalism for coherent two pion photoproduction in nuclei and perform actual calculations of cross sections for $pi^-pi^+$ and $pi^0pi^0$ photoproduction on $^{12}C$. We find that due to the isospin symmetry the cross section for $pi^0pi^0$ production is very small and has a maximum when the pions propagate together. However, the kinematical region where the energies and polar angles of the two $pi^0$ mesons are equal and their relative azimuthal angle $phi=180^0$ is forbidden. Conversely in the $pi^-pi^+$ production the pions prefer to have a relative azimuthal angle 180$^0$ and the production of the pions propagating together is suppressed. The dominant one-body mechanism in both channels is related to the excitation of the $Delta$ isobar. Hence the reaction can serve as a source of information about $Delta$’s properties in nucleus. We have found that the reaction is sensitive to effects of the pion and $Delta$ renormalization in the nuclear medium, similar to those found in the coherent $(gamma,pi^0)$ reaction, but magnified because of the presence of the two pions.
Source arXiv, nucl-th/9704024
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