Possible quantum numbers of the pentaquark Θ^+(1540) in QCD sum rules

Details Possible quantum numbers of the pentaquark Θ^+(1540) in QCD sum rules Possible quantum numbers of the pentaquark Θ^+(1540) in QCD sum rules

2009-11-13

arxiv.org/abs/0911.2547v2

Phys.Rev.D80:114030,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, 9 figures, 4 tables; typos corrected, reference added. Published in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.80.114030

The QCD sum rule technique is employed to investigate pentaquark states with strangeness S = +1 and IJ^P = 0,1/2^\pm, 1,1/2^\pm, 0,3/2^\pm, 1,3/2^\pm. Throughout the calculation, emphasis is laid on the establishment of a valid Borel window, which corresponds to a region of the Borel mass, where the operator product expansion converges and the presumed ground state pole dominates the sum rules. Such a Borel window is achieved by constructing the sum rules from the difference of two independent correlators and by calculating the operator product expansion up to dimension 14. Furthermore, we discuss the possibility of the contamination of the sum rules by possible KN scattering states. As a result, we conclude that the 0,3/2^+ state seems to be the most probable candidate for the experimentally observed \Theta^+(1540), while we also obtain states with 0,1/2^-, 1,1/2^-, 1,3/2^+ at somewhat higher mass regions.

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