Large-$N_c$ relations for the electromagnetic N to Delta(1232) transition
| dc.creator | Pascalutsa, Vladimir | |
| dc.creator | Vanderhaeghen, Marc | |
| dc.date | 2007-11-01 | |
| dc.date.accessioned | 2026-07-07T10:57:43Z | |
| dc.date.available | 2026-07-07T10:57:43Z | |
| dc.description | We examine the large-$N_c$ relations which express the electromagnetic $N$-to-$Δ$ transition quantities in terms of the electromagnetic properties of the nucleon. These relations are based on the known large-$N_c$ relation between the $N\to Δ$ electric quadrupole moment and the neutron charge radius, and a newly derived large-$N_c$ relation between the electric quadrupole ($E2$) and Coulomb quadrupole ($C2$) transitions. Extending these relations to finite, but small, momentum transfer we find that the description of the electromagnetic $N\toΔ$ ratios ($R_{EM}$ and $R_{SM}$) in terms of the nucleon form factors predicts a structure which may be ascribed to the effect of the ``pion cloud''. These relations also provide useful constraints for the $N \to Δ$ generalized parton distributions. | |
| dc.description | 4 pages, 1 figure; to appear in PRD, Rapid Communications | |
| dc.identifier | https://arxiv.org/abs/0711.0147 | |
| dc.identifier | http://arxiv.org/abs/0711.0147 | |
| dc.identifier | Phys.Rev.D76:111501,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.111501 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/186851 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | Large-$N_c$ relations for the electromagnetic N to Delta(1232) transition | |
| dc.type | text |