Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-10-18
Phys.Rev.D77:053009,2008
Physics
High Energy Physics
High Energy Physics - Phenomenology
This version corrects a mistake on the helicity amplitudes sign. Additional comments on resonance-background relative sign are
Scientific paper
10.1103/PhysRevD.77.053009
We study the threshold production of two pions induced by neutrinos in nucleon targets. The contribution of nucleon, pion and contact terms are calculated using a chiral Lagrangian. The contribution of the Roper resonance, neglected in earlier studies, has also been taken into account. The numerical results for the cross sections are presented and compared with the available experimental data. It has been found that in the two pion channels with $\pi^+\pi^-$ and $\pi^0\pi^0$ in the final state, the contribution of the $N^*(1440)$ is quite important and could be used to determine the $N^*(1440)$ electroweak transition form factors if experimental data with better statistics become available in the future.
Hernandez Eduardo
Nieves Juan
Singh Sanjay Kumar
Valverde M.
Vicente-Vacas M. J.
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