dorsal/arxiv
View SchemaThe pi N -> pi pi N reaction around the N(1440) energy
| Authors | Hiroyuki Kamano, Masaki Arima |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0601057 |
| URL | https://arxiv.org/abs/nucl-th/0601057 |
| DOI | 10.1103/PhysRevC.73.055203 |
| Journal | Phys.Rev.C73:055203,2006 |
Abstract
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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"abstract": "We study the pi N -\u003e pi pi N reaction around the N(1440) mass-shell energy.\nConsidering the total cross sections and invariant mass distributions, we\ndiscuss the role of N(1440) and its decay processes. The calculation is\nperformed by extending our previous approach [Phys. Rev. C 69, 025206 (2004)]\nto this reaction, in which only the nucleon and Delta(1232) were considered as\nintermediate baryon states. The characteristics observed in the recent data for\nthe pi- p -\u003e pi0 pi0 n reaction obtained by Crystal Ball Collaboration (CBC),\ncan be understood as a strong interference between the two decay processes:\nN(1440) -\u003e pi Delta(1232) and N(1440) -\u003e N(pi pi)_S. It is also found that the\nscalar-isoscalar pi pi rescattering effect in the NN*(pi pi)_S vertex, which\ncorresponds to the propagation of sigma meson, seems to be necessary for\nexplain ing the several observables of the pi N -\u003e pi pi N reaction: the large\nasymmetric shape in the pi0-pi0 invariant mass distributions of the pi- p -\u003e\npi0 pi0 n reaction and the pi+ p -\u003e pi+ pi+ n total cross section.",
"arxiv_id": "nucl-th/0601057",
"authors": [
"Hiroyuki Kamano",
"Masaki Arima"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.73.055203",
"journal_ref": "Phys.Rev.C73:055203,2006",
"title": "The pi N -\u003e pi pi N reaction around the N(1440) energy",
"url": "https://arxiv.org/abs/nucl-th/0601057"
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