$\Lambda -\pi$ phase shift in Chiral Perturbation Theory

Abstract

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 ${\Sigma }^{\ast }(1385)$. Using SU(3) we estimate the off--shell coupling of the ${\Sigma }^{\ast }$ 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.

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

Cited by in corpus (11)

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• CP Violation in Hyperon Decays from Supersymmetry
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• Study of CP violation in ${\Lambda }_c^{+}$ decay
• The S-wave Λπphase shift is not large
• Measurement of Decay Parameters for ${\Xi }^{-}\to \Lambda {\pi }^{-}$ Decay
• CP Violation in Hyperon Decays from SUSY with Hermitian Yukawa and A Matrices
• Can the Lambda pi scattering phase shifts be large?
• $\pi \Lambda$ scattering phase shifts and CP violation in $\Xi \to \pi \Lambda$ decay
• Precise Measurement of Matter-Antimatter Asymmetry with Entangled Hyperon Antihyperon Pairs