Pion-Pion Phase-Shifts and the Value of Quark-Antiquark Condensate in the Chiral Limit

We use low energy pion-pion phase-shifts in order to make distinction between the alternatives for the value of the quark-antiquark condensate \(B_0\) in the chiral limit. We will consider the amplitude up to and including \({\cal O}(p^4)\) contributions within the Standard and Generalized Chiral Pe...

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Published in:arXiv.org 2001-01
Main Authors: Cavalcante, Isabela P, J Sá Borges
Format: Article
Language:English
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Alternative energy sources
Approximants
Chiral dynamics
Condensates
Order parameters
Perturbation theory
Quarks
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description We use low energy pion-pion phase-shifts in order to make distinction between the alternatives for the value of the quark-antiquark condensate \(B_0\) in the chiral limit. We will consider the amplitude up to and including \({\cal O}(p^4)\) contributions within the Standard and Generalized Chiral Perturbation Theory frameworks. They are unitarized by means of Padé approximants in order to fit experimental phase-shifts in the resonance region. As the best fits correspond to \(\alpha = \beta = 1\), we conclude that pion-pion phase-shift analysis favors the standard ChPT scenario, which assumes just one, large leading order parameter \(_{_0}\).
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subjects Alternative energy sources
Approximants
Chiral dynamics
Condensates
Order parameters
Perturbation theory
Quarks
title Pion-Pion Phase-Shifts and the Value of Quark-Antiquark Condensate in the Chiral Limit
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