Gerasimov-Drell-Hearn Sum Rule and the Discrepancy between the New CLAS and SAPHIR Data

Abstract

Contribution of the K^+Λchannel to the Gerasimov-Drell-Hearn (GDH) sum rule has been calculated by using the models that fit the recent SAPHIR or CLAS differential cross section data. It is shown that the two data sets yield quite different contributions. Contribution of this channel to the forward spin polarizability of the proton has been also calculated. It is also shown that the inclusion of the recent CLAS C_x and C_z data in the fitting data base does not significantly change the result of the present calculation. Results of the fit, however, reveal the role of the S_{11}(1650), P_{11}(1710), P_{13}(1720), and P_{13}(1900) resonances for the description of the C_x and C_z data. A brief discussion on the importance of these resonances is given. Measurements of the polarized total cross section σ_{TT'} by the CLAS, LEPS, and MAMI collaborations are expected to verify this finding.

15 pages, 8 figures

References in corpus (21)

• Chiral Dynamics in Nucleons and Nuclei
• Differential Cross Sections for gamma + p --> K+ + Y for Lambda and Sigma0 Hyperons
• Measurement of gamma p --> K+ Lambda and gamma p --> K+ Sigma0 at photon energies up to 2.6 GeV
• Evidence for a missing nucleon resonance in kaon photoproduction
• The gamma + p to K+ + Lambda and gamma + p to K+ + Sigma0 reactions at forward angles with photon energies from 1.5 to 2.4 GeV
• First Measurement of Beam-Recoil Observables Cx and Cz in Hyperon Photoproduction
• Photo- and Electroproduction of Eta Mesons
• Decays of Baryon Resonances into K Lambda, K^+ Sigma^0 and K^0 Sigma^+
• Nonstrange and other unitarity partners of the exotic Theta+ baryon
• The GDH Sum Rule and Related Integrals
• Measurement of the reaction gamma p --> K0 Sigma+ at photon energies up to 2.6 GeV
• Dynamical coupled-channel approach to hadronic and electromagnetic production of kaon-hyperon on the proton
• Constraints on Coupling Constants through Charged $\Sigma$ Photoproduction
• Kaon photoproduction in a multipole approach
• Generalized Drell-Hearn-Gerasimov Sum Rule at Order {\cal O}(p^4) in Chiral Perturbation Theory
• Baryon resonances and polarization transfer in hyperon photoproduction
• Separated Structure Functions for the Exclusive Electroproduction of $K^{+}\Lambda$ and $K^{+}{\Sigma }^0$ Final States
• Analysis of the consistency of kaon photoproduction data with Lambda in the final state
• The Generalized Gerasimov-Drell-Hearn Integral and the Spin Structure of the Nucleon
• Positivity Constraints on Spin Observables in Exclusive Pseudoscalar Meson Photoproduction
• Kaon photoproduction on the nucleon: Contributions of kaon-hyperon final states to the magnetic moment of the nucleon

Cited by in corpus (3)

• Coupled $K^{+}\Lambda$ and $K^0\Lambda$ photoproduction off the nucleon: Consequences from the recent CLAS and MAMI data and the $N(1680)P_{11}$ narrow state
• Progress and Issues in the Electromagnetic Production of Kaon on the Nucleon
• Kaon photoproduction on the nucleon with constrained parameters