Meson-meson scattering: $K\overline{K}$-thresholds and $f_0(980)-a_0(980)$ mixing

Abstract

We study the influence of mass splitting between the charged and neutral pions and kaons in the Juelich meson exchange model for $\pi \pi$ and $\pi \eta$ scattering. The calculations are performed in the particle basis, which permits the use of physical masses for the pseudoscalar mesons and a study of the distinct thresholds associated with the neutral and the charged kaons. Within this model we also investigate the isospin violation which arises from the mass splitting and an apparent violation of G-parity in $\pi \pi$ scattering which stems from the coupling to the $K\overline{K}$ channel. Nonvanishing cross sections for $\pi \pi \to {\pi }^0\eta$ indicate a mixing of the $f_0(980)$ and $a_0(980)$ states.

12 pages, RevTeX, 3 Postscript figures, revised version, accepted for publication in Phys. Lett. B

References in corpus (1)

• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$

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• Close-to-threshold Meson Production in Hadronic Interactions
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• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• Dynamical coupled-channel approaches on a momentum lattice
• Isospin breaking decay $\eta (1405)\to f_0(980){\pi }^0\to 3\pi$
• Possibility of measuring a0(980)-f0(980) mixing from J/psi -> phi a0
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• Isospin breaking exposed in f0(980)- a0(980) mixing
• f0(980) meson as a K bar K molecule in a phenomenological Lagrangian approach
• Study a0(980)-f0(980) mixing from a0(980) -> f0(980) transition
• Lifetime of Kaonium
• Near Threshold K+K- Meson-Pair Production in Proton-Proton Collisions
• a0(980)-f0(980) mixing and isospin violation in the reactions pN -> d a0, pd -> 3He/3H a0 and dd -> 4He a0
• Finite width effects in ϕradiative decays
• Proposed Search for $a_0^0(980)-f_0(980)$ Mixing in Polarization Phenomena
• Kaon pair production close to threshold
• Large Isospin mixing in phi radiative decay and the spatial size of the f0(980)- a0(980) meson
• Aspects of a0-f0 mixing in the reaction pn->da0
• Search for the $a_0(980)-f_0(980)$ mixing in weak decays of $D_s/B_s$ mesons
• From soft to hard regime in elastic pion-pion scattering above resonances
• Manifestation of the $a_0^0(980)-f_0(980)$ mixing in the reaction ${\pi }^{-}p\to \eta {\pi }^{0}n$ on a polarized target
• $pp\to pp{\eta }^{\prime }$ reaction at high energies
• $pp\to pp{K}^{+}{K}^{-}$ reaction at high energies
• Coupled channel study of a0 resonances
• Near-threshold production of a0(980) mesons in the reaction pp -> d K^+ \bar{K}^0
• The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing
• Near-threshold production of $a_0(980)$-mesons in $\pi N$ and NN collisions and $a_0/f_0$-mixing
• Upper limit for the cross section of the overlapping scalar resonances f0(980) and a0(980) produced in proton-proton collisions in the range of the reaction threshold
• $a_0(980)-f_0(980)$ mixing in ${\chi }_{c1}\to {\pi }^0{f}_0(980)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\chi }_{c1}\to {\pi }^0{a}_0(980)\to {\pi }^0{\pi }^0\eta$
• Meson model for f_0(980) production in peripheral pion-nucleon reactions
• Production of $a_0$-mesons in pp and pn reactions
• Associated strangeness production at threshold
• Study of $a_0^0(980)$-$f_0(980)$ mixing from $a_0(1450)\to a_0^0(980)f_0(500)\to {\pi }^{+}{\pi }^{-}{f}_0(500)$
• General thoughts to the Kaon pair production in the threshold region
• Strangeness Production in Proton-Proton Collisions Close to Threshold
• The impact of $a_0^0(980)-f_0(980)$ mixing on the localized $CP$ violations of the $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ decay
• The ${\bar{B}}_s^0\to J/\psi {\pi }^0\eta$ decay and the $a_0(980)-f_0(980)$ mixing