TY - JOUR
T1 - S=+1 pentaquarks in QCD sum rules
AU - Gubler, Philipp
AU - Jido, Daisuke
AU - Kojo, Toru
AU - Nishikawa, Tetsuo
AU - Oka, Makoto
N1 - Funding Information:
This work was partially supported by KAKENHI, 17070002 (Priority area), 19540275 and 20028004. A part of this work was done in the Yukawa International Project for Quark-Hadron Sciences (YIPQS). P.G. acknowledges the support by the Japan Society for the Promotion of Science for Young Scientists and is thankful for the hospitality of the Yukawa Institute for Theoretical Physics at Kyoto University, where part of this work has been completed. T.K. is supported by RIKEN, Brookhaven National Laboratory and the U. S. Department of Energy [Contract No. DE-AC02-98CH10886].
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence.
PY - 2009
Y1 - 2009
N2 - 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.
AB - 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.
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M3 - Conference article
AN - SCOPUS:85055263013
SN - 1824-8039
VL - 86
JO - Proceedings of Science
JF - Proceedings of Science
T2 - 6th International Workshop on Chiral Dynamics, CD 2009
Y2 - 6 July 2009 through 10 July 2009
ER -