Pion-nucleon and kaon-nucleon scattering lengths in QCD sum rules

Journal Article · Mon Apr 01 04:00:00 EST 1996 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.53.1927· OSTI ID:282155

Kondo, Y ^[1]; Morimatsu, O ^[2]; Nishino, Y ^[3]

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1. Suzuka University of Medical Science and Technology, 1001-1 Kishioka, Suzuka, Mie 510-02 (Japan)
2. Institute for Nuclear Study, University of Tokyo, Midori-cho, Tanashi, Tokyo 188 (Japan)
3. Research Center for Nuclear Physics, Osaka University, Mihogaoka, Ibaraki, Osaka 567 (Japan)

The pion-nucleon and kaon-nucleon scattering lengths are studied in the QCD sum rule. We show that the leading and next-to-leading order terms of the operator product expansion (OPE) give rise to the Tomozawa-Weinberg and {sigma} terms, respectively in the pion-nucleon and kaon-nucleon scattering lengths. We discuss phenomenological contributions which should be added to the experimental scattering lengths to be compared with the theoretical calculation by the OPE: we estimate the {Lambda}(1405) contribution in the kaon-nucleon channel by using the effective coupling strength determined by the analysis of the scattering data. We also estimate the continuum contribution above the threshold in the pion-nucleon channel by using the nonlinear {sigma} model. It turns out that the results of the QCD sum rule for the pion-nucleon scattering lengths are consistent with those of the low energy theorem and therefore with experiments and those for the kaon-nucleon scattering lengths differ from the results of naive partial conservation of axial-vector current{endash}plus-current-algebra approach by the contribution from {Lambda}(1405). {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 282155
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 4 Vol. 53; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CURRENT ALGEBRA
KAON-NUCLEON INTERACTIONS
LOW-ENERGY THEOREM
OPERATOR PRODUCT EXPANSION
PCAC THEORY
PION-NUCLEON INTERACTIONS
QUANTUM CHROMODYNAMICS
SCATTERING LENGTHS
SIGMA MODEL
SUM RULES