On the spin, parity and nature of the $Ξ(1620)$ resonance

Details On the spin, parity and nature of the $Ξ(1620)$ resonance On the spin, parity and nature of the $Ξ(1620)$ resonance

2002-04-16

arxiv.org/abs/nucl-th/0204044v1

Phys.Rev.Lett. 89 (2002) 252001

Physics

Nuclear Physics

Nuclear Theory

8 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.89.252001

Using a unitary extension of chiral perturbation theory with a lowest-order s-wave SU(3) chiral Lagrangian we study low-energy meson-baryon scattering in the strangeness $S=-2$ sector. A scattering-matrix pole is found around 1606 MeV which corresponds to an s-wave $\Xi$ resonance with $J^P=1/2^-$. We identify this resonance with the $\Xi(1620)$ state, quoted in the Particle Data Book with $I=1/2$ but with unknown spin and parity. The addition of the $S=-2$ state to the recently computed $\Lambda(1670)$, $\Sigma(1620)$ and N(1535) states completes the octet of $J^P=1/2^-$ resonances dynamically generated in this chiral unitary approach.

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