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

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dc.creatorKamano, Hiroyuki
dc.creatorArima, Masaki
dc.date2006-01-19
dc.date2006-05-17
dc.date.accessioned2026-07-07T10:30:45Z
dc.date.available2026-07-07T10:30:45Z
dc.descriptionWe 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.
dc.description28 pages, 13 figures. Version to appear in Phys. Rev. C
dc.identifierhttps://arxiv.org/abs/nucl-th/0601057
dc.identifierhttp://arxiv.org/abs/nucl-th/0601057
dc.identifierPhys.Rev.C73:055203,2006
dc.identifierdoi:10.1103/PhysRevC.73.055203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/178228
dc.subjectNuclear Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleThe pi N -> pi pi N reaction around the N(1440) energy
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