Rm. Davidson et Er. Arriola, STRUCTURE FUNCTIONS OF PSEUDOSCALAR MESONS IN THE SU(3) NJL MODEL, Physics letters. Section B, 348(1-2), 1995, pp. 163-169
We compute the structure functions of the pion, kaon and eta mesons us
ing a SU(3) version of the NJL model with scalar and pseudoscalar coup
lings. By considering the absorptive part of the forward Compton scatt
ering amplitude, the regularization can be treated without ambiguities
and gauge invariance is preserved at every stage of the calculation.
Using Pauli-Villars regularization, the structure functions scale and
have proper normalization in the Bjorken limit. In the chiral limit, t
he simple result q(x) = (q) over bar(x) = theta(x)theta(1 - x) is obta
ined for the structure functions. The results are evolved to higher mo
mentum using the Altarelli-Parisi equations for three flavours, and go
od agreement with the experimental data for the pion structure functio
n found.