Mixing of the $f_0$ and $a_0$ scalar mesons in threshold photoproduction

Abstract

We examine the photoproduction of the light scalar mesons $f_0$-$a_0(980)$ with emphasis on isospin-violating $f_0$ and $a_0$ mixing due to the mass difference between neutral and charged kaons. General forms for the invariant amplitude for scalar meson photoproduction are derived, which yield expressions for the invariant mass distribution of the final meson pairs. A final state interaction form factor is obtained which incorporates $f_0$ and $a_0$ mesons, $K\bar{K}$ threshold effects, and $f_0-a_0$ mixing. This form factor is applied to predict the effective mass distribution of the $\pi \pi$ and $K\bar{K}$ pairs in the vicinity of the $K\bar{K}$ threshold. An estimate of the role of isospin mixing near threshold is provided. The potential role of polarized photons and protons is also discussed.

20 pages, 5 figures

Cited by in corpus (37)

• Meson production in nucleon--nucleon collisions close to the threshold
• First observation of $\eta (1405)$ decays into $f_0(980){\pi }^0$
• 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
• Investigation of a0-f0 mixing
• Study a0(980)-f0(980) mixing from a0(980) -> f0(980) transition
• Study of a0(980)--f0(980) mixing
• 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
• Once more on mixing of the a_0(980) and f_0(980) mesons
• Constraint on K Kbar compositeness of the a0(980) and f0(980) resonances from their mixing intensity
• Proposed Search for $a_0^0(980)-f_0(980)$ Mixing in Polarization Phenomena
• Observation of $a_0^0(980)$-$f_0(980)$ Mixing
• Aspects of a0-f0 mixing in the reaction pn->da0
• Isospin violation in J/Psi to phi pi0 eta decay and the f0-a0 mixing
• Search for the $a_0(980)-f_0(980)$ mixing in weak decays of $D_s/B_s$ mesons
• Abnormal isospin violation and $a_0-f_0$ mixing in the $D_s^{+}\to {\pi }^{+}{\pi }^0{a}_0(980)(f_0(980))$ reactions
• On the possibility of observation of $a_0$-$f_0$ mixing in the $pn\to d{a}_0$ reaction
• What can we learn about light-meson interactions at electron-positron colliders?
• 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
• Coupled channel study of a0 resonances
• Near-threshold production of a0(980) mesons in the reaction pp -> d K^+ \bar{K}^0
• Mechanisms of the isospin-breaking decay $f_1(1285)\to f_0(980){\pi }^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$
• The $D_s^{+}\to a_0(980)e^{+}{\nu }_e$ reaction and the $a_0(980)-f_0(980)$ mixing
• Strong isospin symmetry breaking in light scalar meson production
• Investigation of $J/\psi \to \gamma {\pi }^0\eta ({\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0)$ radiative decays including final-state interactions
• Near-threshold production of $a_0(980)$-mesons in $\pi N$ and NN collisions and $a_0/f_0$-mixing
• $a_0(980)-f_0(980)$ mixing in ${\chi }_{c1}\to {\pi }^0{f}_0(980)\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and ${\chi }_{c1}\to {\pi }^0{a}_0(980)\to {\pi }^0{\pi }^0\eta$
• Determination of $f_0-a_0^0$ mixing angle from QCD sum rules
• Photoproduction and mixing effects of scalar a0 and f0 mesons
• Production of $a_0$-mesons in pp and pn reactions
• Study of $a_0^0(980)$-$f_0(980)$ mixing from $a_0(1450)\to a_0^0(980)f_0(500)\to {\pi }^{+}{\pi }^{-}{f}_0(500)$
• Possibility of determinig the parity of the pentaquark ${\Theta }^{+}$ from photoproduction near threshold
• Investigating photoproduction of scalar mesons at medium energies
• The ${\bar{B}}_s^0\to J/\psi {\pi }^0\eta$ decay and the $a_0(980)-f_0(980)$ mixing
• The impact of $a_0^0(980)-f_0(980)$ mixing on the localized $CP$ violations of the $B^{-}\to K^{-}{\pi }^{+}{\pi }^{-}$ decay
• Photoproduction of the Scalar Meson $f_0(500)$