The pi N -> pi pi N reaction around the N(1440) energy

Details The pi N -> pi pi N reaction around the N(1440) energy The pi N -> pi pi N reaction around the N(1440) energy

2006-01-19

arxiv.org/abs/nucl-th/0601057v3

Phys.Rev.C73:055203,2006

Physics

Nuclear Physics

Nuclear Theory

28 pages, 13 figures. Version to appear in Phys. Rev. C

Scientific paper

10.1103/PhysRevC.73.055203

We study the pi N -> 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. The calculation is performed by extending our previous approach [Phys. Rev. C 69, 025206 (2004)] to this reaction, in which only the nucleon and Delta(1232) were considered as intermediate baryon states. The characteristics observed in the recent data for the pi- p -> pi0 pi0 n reaction obtained by Crystal Ball Collaboration (CBC), can be understood as a strong interference between the two decay processes: N(1440) -> pi Delta(1232) and N(1440) -> N(pi pi)_S. It is also found that the scalar-isoscalar pi pi rescattering effect in the NN*(pi pi)_S vertex, which corresponds to the propagation of sigma meson, seems to be necessary for explain ing the several observables of the pi N -> pi pi N reaction: the large asymmetric shape in the pi0-pi0 invariant mass distributions of the pi- p -> pi0 pi0 n reaction and the pi+ p -> pi+ pi+ n total cross section.

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