$π- π$ Scattering Lengths and Chiral Condensate in NJL Model

Details $π- π$ Scattering Lengths and Chiral Condensate in NJL Model $π- π$ Scattering Lengths and Chiral Condensate in NJL Model

1999-03-25

arxiv.org/abs/hep-ph/9903485v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

1 RevTeX file, 9 pages with two tables

Scientific paper

Within the general framework of SU(2) Nambu-Jona-Lasinio model beyond mean-field approximation, the S-wave $\pi - \pi$ scattering lengths $a_0^0$ and $a_0^2$ are calculated. The numerical results are in agreement with that analyzed from recent experiment $\pi N \to \pi \pi N$ data by using Chew-Low-Goebel technique, and the corresponding chiral condensate $<{\bar q}q>$ is around $-(250 {\rm MeV})^3$, which is close to the ones obtained from lattice and sum rules.

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