The processes $e^{+}e^{-} \to \pi\pi(\pi')$ in the extended NJL model

M. K. Volkov; D. G. Kostunin

arXiv:1204.1455·hep-ph·May 30, 2013

The processes $e^{+}e^{-} \to \pi\pi(\pi')$ in the extended NJL model

M. K. Volkov, D. G. Kostunin

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TL;DR

This paper models the process e+e- to pi pi and pi pi' using the extended NJL model, incorporating vector mesons, and provides predictions aligning with experimental data.

Contribution

It introduces an extended NJL model approach that includes intermediate vector mesons to describe e+e- annihilation processes involving pions.

Findings

01

Results agree with experimental data for e+e- to pi pi.

02

Predictions for e+e- to pi pi' are provided, highlighting the role of rho'(1450).

03

The model successfully incorporates intermediate vector mesons.

Abstract

The process $e^{+} e^{-} \to π^{+} π^{-}$ is described in the framework of the extended NJL model. Intermediate vector mesons $ρ^{0} (770)$ , $ω (782)$ and \rho'(1450) $a r e t ak e nin t o a cco u n t . O u r r es u l t s a r e in s a t i s f a c t or y a g r ee m e n tw i t h e x p er im e n t a l d a t a . T h e p r e d i c t i o n f or t h e p r ocess$ e^{+}e^{-} \to \pi\pi'(1300) $i s g i v e n . H er e t h e main co n t r ib u t i o ni s g i v e nb y t h e d ia g r am w i t hin t er m e d ia t e$ \rho'(1450)$ meson.

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