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).
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}
}
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}
}