### Выдержка

The interaction of an η-meson with two nucleons is studied within a three-body approach. The major features of the ηN N-system in the low-energy region are accounted for by using a s-wave separable ansatz for the two-body ηN and N N amplitudes. The calculation is confined to the (J^{π} ; T) = (0^{-} ; 1) and (1^{-} ; 0) configurations which are assumed to be the most promising candidates for virtual or resonant ηN N-states. The eigenvalue three-body equation is continued analytically into the nonphysical sheets by contour deformation. The position of the poles of the three-body scattering matrix as a function of the ηN-interaction strength is investigated. The corresponding trajectory, starting on the physical sheet, moves around the ηN N three-body threshold and continues away from the physical area giving rise to virtual ηN N-states. The search for poles on the nonphysical sheets adjacent directly to the upper rim of the real energy axis gives a negative result. Thus no low-lying s-wave ηNN-resonances were found. The possible influence of virtual poles on the low-energy ηN N-scattering is discussed.

Язык оригинала | Английский |
---|---|

Страницы (с-по) | 119-129 |

Число страниц | 11 |

Журнал | European Physical Journal A |

Том | 9 |

Номер выпуска | 1 |

DOI | |

Состояние | Опубликовано - 1 янв 2000 |

### Отпечаток

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Цитировать

*European Physical Journal A*,

*9*(1), 119-129. https://doi.org/10.1007/s100500070062

**Analysis of the low-energy ηNN-dynamics within a three-body formalism.** / Fix, A.; Arenhövel, H.

Результат исследований: Материалы для журнала › Статья

*European Physical Journal A*, том. 9, № 1, стр. 119-129. https://doi.org/10.1007/s100500070062

}

TY - JOUR

T1 - Analysis of the low-energy ηNN-dynamics within a three-body formalism

AU - Fix, A.

AU - Arenhövel, H.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - The interaction of an η-meson with two nucleons is studied within a three-body approach. The major features of the ηN N-system in the low-energy region are accounted for by using a s-wave separable ansatz for the two-body ηN and N N amplitudes. The calculation is confined to the (Jπ ; T) = (0- ; 1) and (1- ; 0) configurations which are assumed to be the most promising candidates for virtual or resonant ηN N-states. The eigenvalue three-body equation is continued analytically into the nonphysical sheets by contour deformation. The position of the poles of the three-body scattering matrix as a function of the ηN-interaction strength is investigated. The corresponding trajectory, starting on the physical sheet, moves around the ηN N three-body threshold and continues away from the physical area giving rise to virtual ηN N-states. The search for poles on the nonphysical sheets adjacent directly to the upper rim of the real energy axis gives a negative result. Thus no low-lying s-wave ηNN-resonances were found. The possible influence of virtual poles on the low-energy ηN N-scattering is discussed.

AB - The interaction of an η-meson with two nucleons is studied within a three-body approach. The major features of the ηN N-system in the low-energy region are accounted for by using a s-wave separable ansatz for the two-body ηN and N N amplitudes. The calculation is confined to the (Jπ ; T) = (0- ; 1) and (1- ; 0) configurations which are assumed to be the most promising candidates for virtual or resonant ηN N-states. The eigenvalue three-body equation is continued analytically into the nonphysical sheets by contour deformation. The position of the poles of the three-body scattering matrix as a function of the ηN-interaction strength is investigated. The corresponding trajectory, starting on the physical sheet, moves around the ηN N three-body threshold and continues away from the physical area giving rise to virtual ηN N-states. The search for poles on the nonphysical sheets adjacent directly to the upper rim of the real energy axis gives a negative result. Thus no low-lying s-wave ηNN-resonances were found. The possible influence of virtual poles on the low-energy ηN N-scattering is discussed.

KW - 13.60.Le meson production

KW - 21.45.+v few-body systems

KW - 25.20.Lj photoproduction reactions

UR - http://www.scopus.com/inward/record.url?scp=0001188105&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001188105&partnerID=8YFLogxK

U2 - 10.1007/s100500070062

DO - 10.1007/s100500070062

M3 - Article

AN - SCOPUS:0001188105

VL - 9

SP - 119

EP - 129

JO - Zeitschrift fur Physik A Hadrons and Nuclei

JF - Zeitschrift fur Physik A Hadrons and Nuclei

SN - 0939-7922

IS - 1

ER -