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Phys. Rev. C 78, 025203 (2008) [13 pages]

Origin of resonances in the chiral unitary approach

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Tetsuo Hyodo*
Physik-Department, Technische Universität München, D-85747 Garching, Germany and Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

Daisuke Jido
Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

Atsushi Hosaka
Research Center for Nuclear Physics (RCNP), Ibaraki, Osaka 567-0047, Japan

Received 17 March 2008; published 6 August 2008

We study the origin of the resonances associated with pole singularities of the scattering amplitude in the chiral unitary approach. We propose a “natural renormalization” scheme using the low-energy interaction and the general principle of the scattering theory. We develop a method to distinguish dynamically generated resonances from genuine quark states [Castillejo-Dalitz-Dyson (CDD) poles]  using the natural renormalization scheme and phenomenological fitting. Analyzing physical meson-baryon scatterings, we find that the Λ(1405) resonance is largely dominated by the meson-baryon molecule component. In contrast, the N(1535) resonance requires a sizable CDD pole contribution, while the effect of the meson-baryon dynamics is also important.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.78.025203
DOI:
10.1103/PhysRevC.78.025203
PACS:
14.20.-c, 11.30.Rd, 24.85.+p

*thyodo@ph.tum.de