Is The Heavy Fermion Formalism Applicable to Meson Production Process?

Details Is The Heavy Fermion Formalism Applicable to Meson Production Process? Is The Heavy Fermion Formalism Applicable to Meson Production Process?

1998-12-02

arxiv.org/abs/nucl-th/9812009v1

Physics

Nuclear Physics

Nuclear Theory

15 pages, 3 figures

Scientific paper

We consider tree diagram contributions to neutral pion production in pp ->pp pi0 using chiral perturbation theory in the relativistic and extremely non-relativistic limits. In marked difference with the results from heavy fermion formalism, the impulse and s-wave rescattering terms in the relativistic limit have equal signs and therefore add constructively, giving rise to a substantial contribution to the cross section. We argue that the power series expansion of the nucleon propagator is on the border of its convergence circle. Consequently, a finite order heavy fermion formalism does not predict nucleon pole terms correctly and therefore can not be applied to meson production.

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