S=+1 pentaquarks in QCD sum rules

Philipp Gubler, Daisuke Jido, Toru Kojo, Tetsuo Nishikawa, Makoto Oka

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Pentaquark states with strangeness S = +1 and IJπ = 01 2 ±,12 1 ±,03 2 ±,12 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 03 2 + state appears to be the most probable candidate for the experimantally observed Θ+(1540), while we also obtain states with 02 1 −,11 2 ,13 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 languageEnglish
JournalProceedings of Science
Publication statusPublished - 2009
Externally publishedYes
Event6th International Workshop on Chiral Dynamics, CD 2009 - Bern, Switzerland
Duration: 2009 Jul 62009 Jul 10

ASJC Scopus subject areas

  • General


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