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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, wediscuss the role of N(1440) and its decay processes. The calculation isperformed by extending our previous approach [Phys. Rev. C 69, 025206 (2004)]to this reaction, in which only the nucleon and Delta(1232) were considered asintermediate baryon states. The characteristics observed in the recent data forthe 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 thescalar-isoscalar pi pi rescattering effect in the NN*(pi pi)_S vertex, whichcorresponds to the propagation of sigma meson, seems to be necessary forexplain ing the several observables of the pi N -> pi pi N reaction: the largeasymmetric 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.Comment: 28 pages, 13 figures. Version to appear in Phys. Rev.

physical review. c. nuclear physics/physical review. c, nuclear physics

The<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>π</mml:mi><mml:mi>N</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mi>π</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math>reaction around the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>N</mml:mi><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:mn>1440</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:mrow…

TheπN→ππNreaction around theN*(1440)