Evaluation of the derivative quartic terms of the meson chiral Lagrangian from forward dispersion relations

1985/06/01 by T.N. Pham, Tran N. Truong · 1 voice · 10 citations
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Black Holes and Theoretical Physics

paper · doi:10.1103/physrevd.31.3027

Abstract

Using the forward dispersion relations for \ensuremathπ\ensuremathπ scattering, we show that the coefficients of the derivative quartic terms in the chiral Lagrangian are positive. The Skyrme term is mainly given by the \ensuremathρ-meson contribution to the I=1 total cross section and gives a proton mass of 1.27 GeV. The non-Skyrme term is found of comparable strength from the I=0 S-wave \ensuremathπ\ensuremathπ data.

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Discussions

• Dec 17 - Positivity Bounds journals.aps.org/prd/abstract... In 1985, Pham and Truong use dispersion relations to show that the 4 derivative term in pi-pi scattering must be positive. This was redisc [bsky, 19 points, 2 comments]

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