FIZIKA B 17 (2008) 1, 11 - 24
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
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