## Abstract

Pentaquark states with strangeness S = +1 and IJ^{π} = 0^{1} _{2} ^{±},1_{2} ^{1 ±},0^{3} _{2} ^{±},1_{2} ^{3 ±} are investigated using the QCD sum rule technique. Throughout the calculation, we emphasize the importance of the establishment of a valid Borel window, which corresponds to a region of the Borel mass, where the operator product expansion (OPE) converges and the presumed ground state pole dominates the sum rules. We obtain such a Borel window by constructing the sum rules from the differenece of two carefully chosen independent correlators and by calculating the OPE up to dimension 14. As a result, we conclude that the state with qauntum numbers 0^{3} _{2} ^{+} state appears to be the most probable candidate for the experimantally observed Θ^{+}(1540), while we also obtain states with 0_{2} ^{1 −},1^{1} _{2} ^{−},1^{3} _{2} ^{+} at slightly higher mass regions. We furthermore discuss the contribution of the KN scattering states to the sum rules, and the possible influence of these states on our results.

Original language | English |
---|---|

Journal | Proceedings of Science |

Volume | 86 |

Publication status | Published - 2009 |

Externally published | Yes |

Event | 6th International Workshop on Chiral Dynamics, CD 2009 - Bern, Switzerland Duration: 2009 Jul 6 → 2009 Jul 10 |

## ASJC Scopus subject areas

- General