Submitted to Phys. Rev. C Polarization Phenomena in Small-Angle Photoproduction of e e Gamm.pdf

Submitted to Phys. Rev. C Polarization Phenomena in Small-Angle Photoproduction of e e Gamm.pdf

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Submitted to Phys. Rev. C Polarization Phenomena in Small-Angle Photoproduction of e e Gamm

MKPH-T-97-16FTUV/97-41; IFIC/97-41Submitted to Phys. Rev. CPolarization Phenomena in Small-Angle Photoproduction ofe+e Pairs and the Gerasimov{Drell{Hearn Sum RuleA.I. LvovP.N. Lebedev Physical Institute, Moscow, 117924, RussiaS. ScopettaDepartment of Physics, University of Perugia, I-06100 Perugia, ItalyInstitut fur Kernphysik, Universitat Mainz, D-55099 Mainz, GermanyD. Drechsel and S. SchererInstitut fur Kernphysik, Universitat Mainz, D-55099 Mainz, Germany(July 1997)AbstractPhotoproduction of e+e pairs at small angles is investigated as a tool todetermine the functions f1 and f2 entering the real-photon forward Comptonscattering amplitude. The method is based on an interference of the Bethe{Heitler and the virtual Compton scattering mechanisms, generating an az-imuthal asymmetry in the e+ versus e yield. The general case of a circularlypolarized beam and a longitudinally polarized target allows one to determineboth the real and imaginary parts of f1 as well as f2. The imaginary part off2 requires target polarization only. We calculate cross sections and asymme-tries of the reaction p( ; e+e)p, estimate corrections and backgrounds, andpropose suitable kinematical regions to perform the experiment. Our inves-tigation shows that photoproduction of e+e-pairs o the proton and lightnuclei may serve as a rather sensitive test of the validity of the Gerasimov{Drell{Hearn sum rule.13.60.Fz, 13.88.+e Typeset using REVTEXPresent address: Departament de Fisica Teorica, Universitat de Valencia, 46100 Burjassot(Valencia), Spain 1 I. INTRODUCTIONIn studies of spin-dependent structure functions of nucleons and nuclei with real andvirtual photons, the veri cation of the Gerasimov{Drell{Hearn sum rule (GDH) [1,2] isof special interest [3,4]. Apart from general principles as gauge and Lorentz invariance,unitarity, analyticity, and crossing symmetry, this sum rule is based on the assumption thatthe forward Compton scattering becomes spin independent at high energies.

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