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...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2001-01
Main Authors: Cavalcante, Isabela P, J Sá Borges
Format: Article
Language:English
Subjects:
Alternative energy sources
Approximants
Chiral dynamics
Condensates
Order parameters
Perturbation theory
Quarks
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 \(_{_0}\).
ISSN:2331-8422
DOI:10.48550/arxiv.0101104