Test of the partial conservation of axial-vector current limit in pion-nucleon scattering

1976; American Physical Society; Volume: 14; Issue: 5 Linguagem: Inglês

10.1103/physrevd.14.1306

ISSN

1538-4500

Autores

G. E. Hite, Richard J. Jacob, M. D. Scadron,

Tópico(s)

High-Energy Particle Collisions Research

Resumo

A comparison is made of the on-shell amplitudes ${\overline{F}}^{(\ifmmode\pm\else\textpm\fi{})}(0, t)$, obtained using interior dispersion relations, to their off-shell current-algebra predictions in order to test the pion PCAC (partial conservation of axial-vector current) limit in pion-nucleon scattering. It is concluded that, when $\ensuremath{\nu}$ and $t$ are used as variables, the on-shell corrections to PCAC are on the order of 10% per pion.

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