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Prog. Theor. Phys. Supplement No.168 (2007) pp. 58-61

Exotic Hadron in Pole-Dominated QCD Sum Rules

Toru Kojo,^1,* Daisuke Jido² and Arata Hayashigaki³

¹Department of Physics, Kyoto University, Kyoto 606-8502, Japan
²Yukawa Institute for Theoretical Physics, Kyoto University,
Kyoto 606-8502, Japan
³Institut für Theoretische Physik, J. W. Goethe Universität,
D-60438 Frankfurt am Main, Germany

Abstract:

We study pentaquark Θ⁺ (I = 0, J = 1/2) in the QCD sum rules emphasizing that we cannot extract any properties of the pentaquark outside of the Borel window. To find the appropriate Borel window, we prepare a favorable set up of the correlators and carry out the operator product expansion up to dimension 15 within factorization hypothesis. Our procedures reduce the unwanted high energy contaminations and enhance the low energy correlation. In the Borel window, independent analyses for the chiral-even and odd sum rules give the consistent values of the Θ⁺ mass, 1.68 ±0.22 GeV, and the residue. The parity is found to be positive.

URL : http://ptp.ipap.jp/link?PTPS/168/58/
DOI : 10.1143/PTPS.168.58

^*E-mail: torujj@ruby.scphys.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (184K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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References:

1. T. Nakano et al., Phys. Rev. Lett. 91 (2003), 012002[APS].
2. M. A. Shifman, A. I. Vainshtein and V. I. Zakharow, Nucl. Phys. B 147 (1979), 385[CrossRef].
3. R. D. Matheus and S. Narison, Nucl. Phys. B (Proc. Suppl.) 152 (2006), 236.
4. T. Kojo, A. Hayashigaki and D. Jido, Phys. Rev. C 74 (2006), 045206[APS].
5. S. Weinberg, Phys. Rev. Lett. 18 (1967), 507[APS].

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