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The Exotic Baryon Theta^+(1540) on the Lattice

Dieter Hierl·Christian Hagen·Andreas Schaefer
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Abstract

We report on a study of the pentaquark Theta^+(1540), using a variety of different interpolating fields. We use Chirally Improved fermions in combination with Jacobi smeared quark sources to improve the signal and get reliable results even for small quark masses. The results of our quenched calculations, which have been done on a 12^3x24 lattice with a lattice spacing of a=0.148 fm, do not provide any evidence for the existence of a Theta^+ with positive parity. We do observe, however, a signal compatible with nucleon-kaon scattering state. For the negative parity the results are inconclusive, due to the potential mixture with nucleon-kaon and N*-kaon scattering states.

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Dieter Hierl, Christian Hagen, Andreas Schaefer. 2005-09-23. The Exotic Baryon Theta^+(1540) on the Lattice. https://arxiv.org/abs/hep-lat/0509109

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