Can current algebra determine the low energy ππ scattering amplitude?
نویسندگان
چکیده
منابع مشابه
Butp-98/22 Ππ Scattering at Low Energy: Status Report ∗)
I discuss the status of ongoing work to determine numerically the elastic ππ scattering amplitude at order p 6 in the framework of chiral perturbation theory.
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We discuss ππ scattering in the framework of chiral perturbation theory. In particular, we recall the predictions [1] for the threshold parameters and for the phase shift difference δ 0 − δ 1 1 . 1 Notation The scattering amplitude for ππ scattering, π(p1)π (p2) → π (p3)π (p4) , reads 〈π(p4)π (p3)out|π (p1)π (p2)in〉 = 〈π (p4)π (p3)in|π (p1)π (p2)in〉 + i(2π)δ(Pf − Pi)T (s, t, u) , where T (s, t,...
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By using the Renormalization Group Equations in Chiral Perturbation Theory, one can calculate the double chiral logs that appear at two loops in any matrix element. We calculate them in the ππ scattering amplitude, where they represent the potentially largest two loop contribution. It is shown that their correction is reasonably small. ♯ Work supported in part by Schweizerischer Nationalfonds/ ...
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The chiral expansion of the ππ amplitude to the order of two loops was expressed in terms of six independent parameters in a previous paper: four of these are shown here to satisfy sum rules. Their derivation, where crossing symmetry plays a key role, is explained. Their convergence properties are studied and their practical evaluation, in terms of the available data on ππ phase shifts above 0....
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Medium and high energy absorptive parts contribute to dispersive expressions for Dwave scattering lengths, a2 and a 2 2. For the model employed by Basdevant, Frogatt and Peterson we find the Dwave driving term contributions to the Dwave scattering lengths are 1.8 · 10−4 to a2 and 0.4 · 10 −4 to a2, roughly 10% and 30% of their respective central experimental values. Inequivalent sets of sum rul...
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ژورنال
عنوان ژورنال: Il Nuovo Cimento A
سال: 1968
ISSN: 0369-3546,1826-9869
DOI: 10.1007/bf02743810