Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-11-09
Phys.Rev.D62:037901,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
Accepted for publication in Physical Review D. LaTeX2e, 14 pages, 4 figures
Scientific paper
10.1103/PhysRevD.62.037901
We demonstrate how a chiral soft pion theorem (SPT) shields the scalar meson ground state isoscalar $\sigma(600-700)$ and isospinor $\kappa(800-900)$ from detection in $a_{1}\to\pi(\pi\pi)_{\mathrm{swave}}$, $\gamma\gamma\to2\pi^{\circ}$, $\pi^{-}p\to\pi^{-}\pi^{+}n$ and $K^{-}p\to K^{-}\pi^{+}n$ processes. While pseudoscalar meson PVV transitions are known to be determined by (only) quark loop diagrams, the above SPT also constrains scalar meson SVV transitions to be governed (only) by meson loop diagrams. We apply this latter SVV theorem to $a_{0}\to\gamma\gamma$ and $f_{0}\to\gamma\gamma$ decays.
Babukhadia Levan
Berdnikov Ya. A.
Ivanov Andrei N.
Scadron Michael D.
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