$πNN$ and $πNΔ$ formfactors determined from a microscopic model for $πN$ scattering

Details $πNN$ and $πNΔ$ formfactors determined from a microscopic model for $πN$ scattering $πNN$ and $πNΔ$ formfactors determined from a microscopic model for $πN$ scattering

1995-08-11

arxiv.org/abs/nucl-th/9508021v1

Phys.Rev.C54:1561-1565,1996

Physics

Nuclear Physics

Nuclear Theory

7 pages, 4 postscript figures

Scientific paper

10.1103/PhysRevC.54.1561

We determine the $\pi NN$ and $\pi N\Delta$ 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 $\pi\pi$--exchange in the $J^P=0^+$ ($\sigma$) and $1^-$ ($\rho$) channel. The results are very similar for $\pi NN$ and $\pi N\Delta$ 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.

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