Dynamical Model of Weak Pion Production Reactions

Details Dynamical Model of Weak Pion Production Reactions Dynamical Model of Weak Pion Production Reactions

2003-03-20

arxiv.org/abs/nucl-th/0303050v1

Phys.Rev. C67 (2003) 065201

Physics

Nuclear Physics

Nuclear Theory

29 pages, 14 figures

Scientific paper

10.1103/PhysRevC.67.065201

The dynamical model of pion electroproduction has been extended to investigate the weak pion production reactions. The predicted cross sections of neutrino-induced pion production reactions are in good agreement with the existing data. We show that the renormalized(dressed) axial N-$\Delta$ form factor contains large dynamical pion cloud effects and this renormalization effects are crucial in getting agreement with the data. We conclude that the N-$\Delta$ transitions predicted by the constituent quark model are consistent with the existing neutrino induced pion production data in the $\Delta$ region.

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