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High Energy Physics - Phenomenology

arXiv:hep-ph/0503150 (hep-ph)
[Submitted on 16 Mar 2005 (v1), last revised 1 Apr 2005 (this version, v3)]

Title:Coupled QCD sum rules for positive and negative-parity nucleons

Authors:Yoshihiko Kondo, Osamu Morimatsu, Tetsuo Nishikawa
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Abstract: A new approach of the QCD sum rule is proposed in which positive and negative-parity baryons couple with each other. With positive and negative-parity states explicitly taken into account, sum rules are derived by means of the dispersion relation in energy. The method is applied to the nucleon channel and the parity splitting of the nucleon resonance states is studied. It is found that the obtained sum rules have a very good Borel stability. This suggests that the ansatz for the spectral function in the present sum rule approximates the physical spectrum better than the usual lowest pole plus continuum ansatz. The predicted masses of the positive and negative nucleons reproduce the experimental ones fairly well. Especially, the mass difference is extremely close to the experimental value.
Comments: 14pages, 2figures
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: KEK-TH-1010
Cite as: arXiv:hep-ph/0503150
  (or arXiv:hep-ph/0503150v3 for this version)
  https://doi.org/10.48550/arXiv.hep-ph/0503150
Journal reference: Nucl.Phys. A764 (2006) 303-312
Related DOI: https://doi.org/10.1016/j.nuclphysa.2005.09.003

Submission history

From: Yoshihiko Kondo [view email]
[v1] Wed, 16 Mar 2005 09:08:06 UTC (12 KB)
[v2] Wed, 23 Mar 2005 05:18:11 UTC (12 KB)
[v3] Fri, 1 Apr 2005 08:20:51 UTC (12 KB)
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