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- W2045391109 abstract "We study the $ensuremath{pi}Nensuremath{rightarrow}ensuremath{pi}ensuremath{pi}N$ 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 $ensuremath{Delta}(1232)$ were considered as intermediate baryon states. The characteristics in the recent data of the ${ensuremath{pi}}^{ensuremath{-}}pensuremath{rightarrow}{ensuremath{pi}}^{0}{ensuremath{pi}}^{0}n$ reaction measured by Crystal Ball Collaboration can be understood as a strong interference between the two decay processes: ${N}^{*}(1440)ensuremath{rightarrow}ensuremath{pi}ensuremath{Delta}$ and ${N}^{*}(1440)ensuremath{rightarrow}N(ensuremath{pi}ensuremath{pi}){}_{Sphantom{rule{0.3em}{0ex}}text{wave}}^{I=0}$. It is also found that the scalar-isoscalar $ensuremath{pi}ensuremath{pi}$ rescattering effect in the ${mathit{NN}}^{*}(ensuremath{pi}ensuremath{pi}){}_{Sphantom{rule{0.3em}{0ex}}text{wave}}^{I=0}$ vertex, which corresponds to the propagation of ensuremath{sigma} meson, seems to be necessary for explaining the several observables of the $ensuremath{pi}Nensuremath{rightarrow}ensuremath{pi}ensuremath{pi}N$ reaction: the large asymmetric shape in the ${ensuremath{pi}}^{0}{ensuremath{pi}}^{0}$ invariant mass distributions of the ${ensuremath{pi}}^{ensuremath{-}}pensuremath{rightarrow}{ensuremath{pi}}^{0}{ensuremath{pi}}^{0}n$ reaction and the ${ensuremath{pi}}^{+}pensuremath{rightarrow}{ensuremath{pi}}^{+}{ensuremath{pi}}^{+}n$ total cross section." @default.
- W2045391109 created "2016-06-24" @default.
- W2045391109 creator A5030295243 @default.
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- W2045391109 date "2006-05-15" @default.
- W2045391109 modified "2023-09-26" @default.
- W2045391109 title "TheπN→ππNreaction around theN*(1440)energy" @default.
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- W2045391109 doi "https://doi.org/10.1103/physrevc.73.055203" @default.
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