The nature of $σ$, $κ$, $a_0(980)$ and $f_0(980)$

E. van Beveren; D. V. Bugg; F. Kleefeld; G. Rupp

doi:10.1016/j.physletb.2006.08.051

paper

The nature of $σ$ , $κ$ , $a_{0} (980)$ and $f_{0} (980)$

arXiv:hep-ph/0606022 · doi:10.1016/j.physletb.2006.08.051

Abstract

Masses and widths of the four light scalar mesons $σ$ , $κ$ , $a_{0}$ (980) and $f_{0}$ (980) may be reproduced in a model where mesons scatter via a $q q ˉ$ loop. A transition potential is used to couple mesons to $q q ˉ$ at a radius of $\sim 0.57$ fm. Inside this radius, there is an infinite bare spectrum of confined $q q ˉ$ states, for which a harmonic oscillator is chosen here. The coupled-channel system approximately reproduces the features of both light and heavy meson spectroscopy. The generation of $σ$ , $κ$ , $a_{0} (980)$ and $f_{0} (980)$ is a balance between attraction due to the $q q ˉ$ loop and suppression of the amplitudes at the Adler zeros. Phase shifts increase more rapidly as the coupling constant to the mesons increases. This leads to resonant widths which decrease with increasing coupling constant - a characteristically non-perturbative effect.

Plain LaTeX, 10 pages, 3 EPS figures; v2: 11 pages, better-quality figures, extra references, version accepted for publication in Phys. Lett. B

The nature of $σ$ , $κ$ , $a_{0} (980)$ and $f_{0} (980)$

Abstract

References in corpus (3)

Cited by in corpus (19)

The nature of σ, κ, a0​(980) and f0​(980)

Abstract

References in corpus (3)

Cited by in corpus (19)

The nature of $σ$ , $κ$ , $a_{0} (980)$ and $f_{0} (980)$