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Phys. Rev. D 77, 056010 (2008) [5 pages]

Structure of the Λ(1405) baryon resonance from its large Nc behavior

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Tetsuo Hyodo1,2, Daisuke Jido2, and Luis Roca2,3
1Physik-Department, Technische Universität München, D-85747 Garching, Germany
2Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan
3Departamento de Física, Universidad de Murcia, E-30071, Murcia, Spain

Received 20 December 2007; published 27 March 2008

We study the behavior with the number of colors (Nc) of the two poles associated to the Λ(1405) resonance obtained dynamically within the chiral unitary approach. The leading order chiral meson-baryon interaction manifests a nontrivial Nc dependence for SU(3) baryons, which gives a finite attractive interaction in some channels in the large Nc limit. As a consequence, the SU(3) singlet (K̅ N) component of the Λ(1405) survives in the large Nc limit as a bound state, while the other components dissolve into the continuum. The Nc dependence of the decay widths shows different behavior from the general counting rule for a qqq state, indicating the dynamical origin of the two poles for the Λ(1405) resonance.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.77.056010
DOI:
10.1103/PhysRevD.77.056010
PACS:
11.15.Pg, 14.20.Jn, 11.30.Rd