Nucleon form factors at high q(2) within constituent quark models

Citation
B. Desplanques et al., Nucleon form factors at high q(2) within constituent quark models, FEW-BODY SY, 29(4), 2000, pp. 169-222
Citations number
46
Categorie Soggetti
Physics
Journal title
FEW-BODY SYSTEMS
ISSN journal
01777963 → ACNP
Volume
29
Issue
4
Year of publication
2000
Pages
169 - 222
Database
ISI
SICI code
0177-7963(2000)29:4<169:NFFAHQ>2.0.ZU;2-M
Abstract
The nucleon form factors are calculated using a non-relativistic descriptio n in terms of constituent quarks. The emphasis is put on present numerical methods used to solve the three-body problem in order to reliably predict t he expected asymptotic behaviour of form factors. Nucleon wave functions ob tained in the hyperspherical formalism or employing Faddeev equations have been considered. While a q(-8) behaviour is expected at high q for a quark- quark force behaving like 1/r at short distances, it is found that the hype rcentral approximation in the hyperspherical formalism (K = 0) leads to a q (-7) behaviour. An infinite set of waves would be required to get the corre ct behaviour. Solutions of the Faddeev equations lead to the q(-8) behaviou r. The coefficient of the corresponding term, however, depends on the numbe r of pal-tial waves retained in the Faddeev amplitude. The convergence to t he asymptotic behaviour has also been studied. Approximate expressions char acterizing this one have been derived. From the comparison with the most co mplete Faddeev calculation, a validity range is inferred for restricted cal culations.