The N(1710) as a resonance in the ππN system

We study the ππ N system by solving the Faddeev equations, for which the input two-body t -matrices are obtained by solving the Bethe-Salpeter equation in the coupled-channel formalism. The potentials for the ππ, π N sub-systems and their coupled channels are obtained from chiral Lagrangians, which...

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Bibliographic Details
Published in:The European physical journal. A, Hadrons and nuclei Hadrons and nuclei, 2008-08, Vol.37 (2), p.233-243
Main Authors: Khemchandani, K. P., Martínez Torres, A., Oset, E.
Format: Article
Language:English
Subjects:
Hadrons
Heavy Ions
Nuclear Fusion
Nuclear Physics
Particle and Nuclear Physics
Physics
Physics and Astronomy
Regular Article — Theoretical Physics
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Summary:We study the ππ N system by solving the Faddeev equations, for which the input two-body t -matrices are obtained by solving the Bethe-Salpeter equation in the coupled-channel formalism. The potentials for the ππ, π N sub-systems and their coupled channels are obtained from chiral Lagrangians, which have been earlier used to study resonances in these systems successfully. In this work, we find a resonance in the ππN system with a mass of 1704 − i 375/2MeV and with quantum numbers I = 1/2, J π = 1/2 + . We identify this state with the N * (1710). This peak is found where the energies of the ππ sub-system fall in the region of the σ -resonance. We do not find evidence for the Roper resonance in our study indicating a more complex structure for this resonance, nor for any state with total isospin I = 3/2 or 5/2.
ISSN:1434-6001
1434-601X
DOI:10.1140/epja/i2008-10625-3