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

Technical Report:

Abstract

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 OPE give rise to the Tomozawa-Weinberg and sigma terms, respectively. We also show that in the kaon-nucleon system the {Lambda}(1405) contribution has to be subtracted from the OPE side in order to obtain the scattering length. The odd components of the T-matrices are in agreement with the experimental values not only in the pion-nucleon channel but also in the kaon-nucleon channel after the {Lambda}(1405) contribution subtracted. The even components disagree with the experimental values in the pion-nucleon channel, which is similar to the situation in the PCAC-plus-current-algebra approach at the Weinberg point. We speculate that this discrepancy should be explained by the continuum contribution in the spectral function above the pion-nucleon threshold. (author).
Publication Date:
Sep 01, 1994
Product Type:
Technical Report
Report Number:
INS-1059
Reference Number:
SCA: 662230; PA: JPN-94:012186; EDB-95:025746; SN: 95001319994
Resource Relation:
Other Information: PBD: Sep 1994
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; PION-NUCLEON INTERACTIONS; NUCLEON-HYPERON INTERACTIONS; SUM RULES; QUANTUM CHROMODYNAMICS; SCATTERING; OPE POTENTIAL; OPE MODEL; NUCLEAR STRUCTURE; 662230
OSTI ID:
10109347
Research Organizations:
Tokyo Univ., Tanashi (Japan). Inst. for Nuclear Study
Country of Origin:
Japan
Language:
English
Other Identifying Numbers:
Other: ON: DE95737278; TRN: JP9412186
Availability:
OSTI; NTIS; INIS
Submitting Site:
JPN
Size:
15 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Kondo, Y, Morimatsu, O, and Nishino, Y. Pion-nucleon and kaon-nucleon scattering lengths in QCD sum rules. Japan: N. p., 1994. Web.
Kondo, Y, Morimatsu, O, & Nishino, Y. Pion-nucleon and kaon-nucleon scattering lengths in QCD sum rules. Japan.
Kondo, Y, Morimatsu, O, and Nishino, Y. 1994. "Pion-nucleon and kaon-nucleon scattering lengths in QCD sum rules." Japan.
@misc{etde_10109347,
title = {Pion-nucleon and kaon-nucleon scattering lengths in QCD sum rules}
author = {Kondo, Y, Morimatsu, O, and Nishino, Y}
abstractNote = {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 OPE give rise to the Tomozawa-Weinberg and sigma terms, respectively. We also show that in the kaon-nucleon system the {Lambda}(1405) contribution has to be subtracted from the OPE side in order to obtain the scattering length. The odd components of the T-matrices are in agreement with the experimental values not only in the pion-nucleon channel but also in the kaon-nucleon channel after the {Lambda}(1405) contribution subtracted. The even components disagree with the experimental values in the pion-nucleon channel, which is similar to the situation in the PCAC-plus-current-algebra approach at the Weinberg point. We speculate that this discrepancy should be explained by the continuum contribution in the spectral function above the pion-nucleon threshold. (author).}
place = {Japan}
year = {1994}
month = {Sep}
}