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Parity of $\Theta^+$(1540) from QCD sum rules

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arxiv hep-ph/0411104 v2 pith:6EJMULLH submitted 2004-11-08 hep-ph nucl-th

classification hep-phnucl-th
keywords statethetarulecurrentintermediateinterpolatingkaon-nucleonnucleon
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

The QCD sum rule for the pentaquark $\Theta^+$, first analyzed by Sugiyama, Doi and Oka, is reanalyzed with a phenomenological side that explicitly includes the contribution from the two-particle reducible kaon-nucleon intermediate state. The magnitude for the overlap of the $\Theta^+$ interpolating current with the kaon-nucleon state is obtained by using soft-kaon theorem and a separate sum rule for the ground state nucleon with the pentaquark nucleon interpolating current. It is found that the K-N intermediate state constitutes only 10% of the sum rule so that the original claim that the parity of $\Theta^+$ is negative remains valid.

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  1. $D \bar D_1(2420)$ and $D^* \bar D^*(2400)$ molecular states: Probing their electromagnetic fingerprints

    hep-ph 2025-04 conditional novelty 6.0 of 10

    For the D \bar D_1 and D* \bar D* molecular states, the computed magnetic moments are -1.41 and 3.85 nuclear magnetons, with negative quadrupole moments, both dominated by light-quark contributions.

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