  A generalization of the Heisenberg algebra has been recently constructed.
  This generalized algebra has a characteristic function which depends on one
of its generators. When this function is linear, $qJ_0+s$, it is possible to
construct a Generalized Quantum Field Theory (GQFT) that creates at a
space-time a composite particle.In the present work we show that a generalized
QFT can also be constructed consistently, even with a nonlinear characteristic
function and leads to better results as long as we have more parameters to
(possibly) fit the spectrum of a real composite particle.
