Gerasimov-Drell-Hearn and Burkhardt-Cottingham Sum Rules for Proton, Neutron and Deuteron

2003/03/02 by O. V. Teryaev, Teryaev, O. V.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #hep-ph #nucl-th

paper · pdf · doi:10.48550/arxiv.hep-ph/0303003

6 pages, contribution to The XVI International Baldin Seminar on High Energy Physics Problems ``Relativistic Nuclear Physics and Quantum Chromodynamics'', Dubna, June 10-15, 2002, to be published in the Proceedings

arxiv created 2003/03/05 · arxiv updated 2009/11/30

Abstract

A description of the generalized Gerasimov-Drell-Hearn sum rules for proton, neutron and deuteron is suggested. The proton consideration confirms the earlier conjecture, that the structure function g_T features a smooth Q²-dependence, while the structure function g₂ is changing rapidly, due to the elastic contribution to the Burkhardt-Cottingham sum rule. The neutron case features the close connection to the Bjorken sum rule. The deuteron case reveals the crucial role of photodesintegration channel, resulting in the strong nuclear correction at very low Q². The new approximate sum rules for this channel reflecting the delicate interplay between nucleon and nuclear structure are suggested.

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