The {pi}N{yields}{pi}{pi}N reaction around the N(1440) energy

We study the {pi}N{yields}{pi}{pi}N reaction around the N*(1440) mass-shell energy. Considering the total cross sections and invariant mass distributions, we discuss the role of N*(1440) and its decay processes on this reaction. The calculation is performed by extending our previous approach [Phys. Rev. C 69, 025206 (2004)], in which only the nucleon and {delta}(1232) were considered as intermediate baryon states. The characteristics in the recent data of the {pi}{sup -}p{yields}{pi}{sup 0}{pi}{sup 0}n reaction measured by Crystal Ball Collaboration can be understood as a strong interference between the two decay processes: N*(1440){yields}{pi}{delta} and N*(1440){yields}N({pi}{pi}){sub Swave}{sup I=0}. It is also found that the scalar-isoscalar {pi}{pi} rescattering effect in the NN*({pi}{pi}){sub Swave}{sup I=0} vertex, which corresponds to the propagation of {sigma} meson, seems to be necessary for explaining the several observables of the {pi}N{yields}{pi}{pi}N reaction: the large asymmetric shape in the {pi}{sup 0}{pi}{sup 0} invariant mass distributions of the {pi}{sup -}p{yields}{pi}{sup 0}{pi}{sup 0}n reaction and the {pi}{sup +}p{yields}{pi}{sup +}{pi}{sup +}n total cross section.