SU(6) breaking effects in the nucleon elastic electromagnetic form factors- art. no. 065201

Citation
F. Cardarelli et S. Simula, SU(6) breaking effects in the nucleon elastic electromagnetic form factors- art. no. 065201, PHYS REV C, 6206(6), 2000, pp. 5201
Citations number
27
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW C
ISSN journal
05562813 → ACNP
Volume
6206
Issue
6
Year of publication
2000
Database
ISI
SICI code
0556-2813(200012)6206:6<5201:SBEITN>2.0.ZU;2-U
Abstract
The effects of both kinematical and dynamical SU(6) breaking on the nucleon elastic form factors, G(E)(N)(Q(2)) and G(M)(N)(Q(2)), are investigated wi thin the constituent quark model formulated on the light front. The investi gation is focused on G(E)(n)(Q(2)) and the ratio G(M)(p)(Q(2))/G(M)(n)(Q(2) ), which within the SU(6) symmetry are given by; G(E)(n)(Q(2))=0 and G(M)(p )(Q(2))/G(M)(n)(Q(2))=-3/2, respectively. It is shown that the kinematical SU(6) breaking caused by the Melosh rotations of the quark spins as well as the dynamical SU(6) breaking due to the mixed-symmetry component generated in the nucleon wave function by the spin-dependent terms of the quark-quar k interaction, can affect both G(E)(n)(Q(2)) and G(M)(p)(Q(2))/G(M)(n)(Q(2) ). The calculated G(E)(n)(Q(2)) is found to be qualitatively consistent wit h existing data, though only similar or equal to 65% of the experimental ne utron charge radius can be explained without invoking effects from possible nonvanishing sizes of the constituent quarks and/or many-body currents. At the same time the predictions for the magnetic ratio G(M)(p)(Q(2))/G(M)(n) (Q(2)) turn out to be inconsistent with the data. It is, however, shown tha t the calculations of G(M)(N)(Q(2)) based on different components of the on e-body electromagnetic current lead to quite different results. In particul ar, the calculations based on the plus component are found to be plagued by spurious effects related to the loss of the rotational covariance in the l ight-front formalism. These unwanted effects can be avoided by considering the transverse y component of the current. In this way our light-front pred ictions are found to be consistent with the data on both G(E)(n)(Q(2)) and G(M)(p)(Q(2))/G(M)(n)(Q(2)). Finally, it is shown that a suppression of the ratio G(E)(p)(Q(2))/G(M)(p)(Q(2)) With respect to the dipole-fit predictio n can be expected in the constituent quark model provided the relativistic effects generated by the Melosh rotations of the constituent spins are take n into account.