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Photon-fusion reactions from the chiral Lagrangian with dynamical light vector mesons | | I. V. Danilkin
; M. F. M. Lutz
; S. Leupold
; C. Terschlusen
; | | Date: |
7 Nov 2012 | | Abstract: | We study the reactions $gammagamma
ightarrow pi^0pi^0$, $pi^+pi^-$,
$K^0ar{K}^0$, $K^+K^-$, $eta eta$ and $pi^0eta$ based on a chiral
Lagrangian with dynamical light vector mesons as formulated within the
hadrogenesis conjecture. At present our chiral Lagrangian contains 5 unknown
parameters that are relevant for the photon fusion reactions. They parameterize
the strength of interaction terms involving two vector meson fields. These
parameters are fitted to photon fusion data $gammagamma
ightarrow
pi^0pi^0$, $pi^+pi^-, pi^0eta$ and to the decay
$eta
ightarrowpi^0gammagamma$. In order to derive gauge invariant reaction
amplitudes in the resonance region constraints from micro-causality and exact
coupled-channel unitarity are used. Our results are in good agreement with the
existing experimental data from threshold up to about 0.9 GeV for the two-pion
final states. The $a_0$ meson in the $pi^0eta$ channel is dynamically
generated and an accurate reproduction of the $gammagamma
ightarrow
pi^0eta$ data is achieved up to 1.2 GeV. Based on our parameter sets we
predict the $gammagamma
ightarrow $ $K^0ar{K}^0$, $K^+K^-$, $eta eta$
cross sections. | | Source: | arXiv, 1211.1503 | | Services: | Forum | Review | PDF | Favorites | |
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