The N*(1710) as a resonance in the pi pi N system
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The N*(1710) as a resonance in the pi pi N system

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The N*(1710) as a resonance in the pi pi N system

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Khemchandani, K. P.; Martínez Torres, Alberto; Oset Báguena, Eulogio Perfil
Aquest document és un/a article, creat/da en: 2008
We study the ππN 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, πN 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−i375/2 MeV and with quantum numbers I=1/2, Jπ=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.

    Khemchandani, K. P. Martínez Torres, Alberto Oset Báguena, Eulogio 2008 The N*(1710) as a resonance in the pi pi N system European Physical Journal A 37 2 233 243
http://dx.doi.org/10.1140/epja/i2008-10625-3
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