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20 April 2024
 
  » arxiv » nucl-th/9508021

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$pi NN$ and $pi NDelta$ formfactors determined from a microscopic model for $pi N$ scattering
C. Schütz ; K. Holinde ;
Date 11 Aug 1995
Journal Phys.Rev. C54 (1996) 1561-1565
Subject nucl-th
AffiliationInstitut für Kernphysik, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
AbstractWe determine the $pi NN$ and $pi NDelta$ formfactors from the $P_{11}$ resp. $P_{33}$ partial wave of $pi N$ scattering by dressing corresponding bare vertices with the help of $pi N$ non--pole contributions. The underlying model is based on meson exchange, and involves nucleon and delta--isobar pole and crossed--pole terms together with correlated $pipi$--exchange in the $J^P=0^+$ ($sigma$) and $1^-$ ($ ho$) channel. The results are very similar for $pi NN$ and $pi NDelta$ and can be roughly parametrized by a monopole with cutoff mass $>$ 500 MeV, with some variation due to model dependencies. Thus the formfactors are much less soft than derived before for the $pi NN$ case by Saito and Afnan using the same procedure but different $pi N$ interaction models.
Source arXiv, nucl-th/9508021
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