FIZIKA B 17 (2008) 1, 11 - 24

 size 289 kB

SUM RULES FOR HADRON PHOTOPRODUCTION ON HADRONS AND PHOTON

E. BARTOSa, S. DUBNICKAa, A. Z. DUBNICKOVÁb and E. A. KURAEVc

aInstitute of Physics, Slovak Academy of Sciences, Bratislava, Slovak Republic
bDepartment of Theoretical Physics, Comenius University, Bratislava, Slovak Republic
cLaboratory of Theoretical Physics, JINR, Dubna, Russia

Received 23 October 2007;        Accepted 20 February 2008
Online 18 June 2008

Sum rules are derived relating mean-squared charge radii in the case of pseudoscalar meson, Dirac mean-squared radii and anomalous magnetic moments in the case of (1/2)+ baryon, and finally sum of ratios of the fourth power of quark charges to the squared quark masses in the case of photon, with convergent integrals over the hadron photoproduction total cross-sections on pseudoscalar mesons, octet baryons and over gg® 2 jets cross-section, respectively. As a byproduct, chains of inequalities for corresponding total photoproduction cross-sections on meson and baryons in finite energy region, to be valid on an average, are also derived.

PACS numbers: 11.55.Hx, 13.40.Gp, 13.60.Hb
UDC 539.122, 539.126

Keywords: sum rules, pseudoscalar meson nonet, (1/2)+ baryon octet, photon, total photoproduction cross-section

Copyright by The Croatian Physical Society
For problems or questions please contact fizika@fizika.hfd.hr