$Λ-π$ phase shift in Chiral Perturbation Theory

Details $Λ-π$ phase shift in Chiral Perturbation Theory $Λ-π$ phase shift in Chiral Perturbation Theory

1998-06-15

arxiv.org/abs/hep-ph/9806374v2

Phys.Lett.B344:430-432,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, latex, 1 figure, reference added, slight change in text

Scientific paper

10.1016/0370-2693(94)01577-Y

We calculate the S and P wave phase shifts in $\Lambda - \pi$ scattering at the $\Xi$ mass using the full relativistic $SU(3)_L \times SU(3)_R$ chiral perturbation theory. We get small phase shifts similar to previous calculations using $ SU(2)_L \times SU(2)_R$ chiral perturbation theory in the heavy baryon limit. We also consider possible off--shell effects in the coupling of the Rarita-Schwinger particle $\Sigma^*(1385)$. Using SU(3) we estimate the off--shell coupling of the $\Sigma^*$ to $\Lambda \pi$ from the off--shell coupling of the $\Delta$ to $N \pi$ which is obtained from a fit to the pion--nucleon data. We find that the contributions from the off--shell coupling can be of the same size as the other terms in the $\Lambda \pi$ scattering amplitude.

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