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Phys. Rev. C 69, 055203 (2004) [7 pages]

Is the Θ+ a KπN bound state?

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Felipe J. Llanes-Estrada*
Departamento de Física Teórica I, Universidad Complutense, 28040 Madrid, Spain

E. Oset and V. Mateu
Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptd. 22085, 46071 Valencia, Spain

Received 6 November 2003; published 20 May 2004

Following a recent suggestion that the Θ+ could be a KπN bound state we perform an investigation under the light of the meson-meson and meson-baryon dynamics provided by the chiral Lagrangians and using methods currently employed to dynamically generate meson and baryon resonances by means of unitary extensions of chiral perturbation theory. We consider two-body and three-body forces and examine the possibility of a bound state below the three-particle pion-kaon-nucleon and above the kaon-nucleon thresholds. Although we find indeed an attractive interaction in the case of isospin I=0 and spin-parity 1∕2+, the interaction is too weak to bind the system. If we arbitrarily add to the physically motivated potential the needed strength to bind the system and with such strong attraction evaluate the decay width into KN, this turns out to be small. A discussion on further work in this direction is done.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevC.69.055203
DOI:
10.1103/PhysRevC.69.055203
PACS:
14.20.−c, 13.75.−n, 12.39.Fe, 24.85.+p

*Electronic address: fllanes@fis.ucm.es

Electronic address: oset@ific.uv.es