Generalized Sum Rules for Spin-Dependent Structure Functions of the Nucleon
| dc.creator | Ji, Xiangdong | |
| dc.creator | Osborne, Jonathan | |
| dc.date | 1999-05-20 | |
| dc.date.accessioned | 2026-07-07T10:53:07Z | |
| dc.date.available | 2026-07-07T10:53:07Z | |
| dc.description | The Drell-Hearn-Gerasimov and Bjorken sum rules are special examples of dispersive sum rules for the spin-dependent structure function G_1(ν, Q^2) at Q^2=0 and \infty. We generalize these sum rules through studying the virtual-photon Compton amplitudes S_1(ν, Q^2) and S_2(ν,Q^2). At small Q^2, we calculate the Compton amplitudes at leading-order in chiral perturbation theory; the resulting sum rules can be tested by data soon available from Jefferson Lab. For Q^2>>Λ_{QCD}^2, the standard twist-expansion for the Compton amplitudes leads to the well-known deep-inelastic sum rules. Although the situation is still relatively unclear in a small intermediate-Q^2 window, we argue that chiral perturbation theory and the twist-expansion alone already provide strong constraints on the Q^2-evolution of the G_1(ν,Q^2) sum rule from Q^2=0 to Q^2=\infty. | |
| dc.description | 22 pages, latex, figures included as .eps files | |
| dc.identifier | https://arxiv.org/abs/hep-ph/9905410 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/9905410 | |
| dc.identifier | J.Phys.G27:127,2001 | |
| dc.identifier | doi:10.1088/0954-3899/27/1/308 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185377 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.subject | Nuclear Theory | |
| dc.title | Generalized Sum Rules for Spin-Dependent Structure Functions of the Nucleon | |
| dc.type | text |