


Desplanques, B.; SilvestreBrac, B.; Cano Vargas, Florencio; González Marhuenda, Pedro; Noguera Puchol, Santiago
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This document is a artículoDate2000


Este documento está disponible también en :
http://dx.doi.org/10.1007/s006010070001


Este documento está disponible también en :
http://hdl.handle.net/10550/33680


The nucleon form factors are calculated using a nonrelativistic description in terms of constituent quarks. The emphasis is put on present numerical methods used to solve the threebody problem in order to reliably predict the expected asymptotic behaviour of form factors. Nucleon wave functions obtained in the hyperspherical formalism or employing Faddeev equations have been considered. While a q(8) behaviour is expected at high q for a quarkquark force behaving like 1/r at short distances, it is found that the hypercentral approximation in the hyperspherical formalism (K = 0) leads to a q(7) behaviour. An infinite set of waves would be required to get the correct behaviour. Solutions of the Faddeev equations lead to the q(8) behaviour. The coefficient of the corresponding term, however, depends on the number of paltial waves retained in the Faddeev amplitude. The convergence to the asymptotic behaviour has also been studied. Approximate expressions characterizing this one have been derived. From the comparison with the most complete Faddeev calculation, a validity range is inferred for restricted calculations.


Desplanques, B. SilvestreBrac, B. Cano, F. González Marhuenda, Pedro Noguera Puchol, Santiago 2000 Nucleon Form Factors at high q2 within constituent quark models FewBody Systems 29 4 169 222 

http://dx.doi.org/10.1007/s006010070001
