Proposal to look for the anomalous isotopic symmetry breaking in central diffractive production of the $f_1(1285)$ and $a_0^0(980)$ resonances at the LHC

Abstract

At very high energies, and in the central region ($x_F\simeq 0$), the double-Pomeron exchange mechanism gives the dominant contribution to the production of hadrons with the positive $C$ parity and isospin $I=0$. Therefore, the observation of resonances in the states with $I=1$ will be indicative of their production or decay with the isotopic symmetry breaking. Here, we bear in mind the cases of the anomalous breaking of the isotopic symmetry, i.e., when the cross section of the process breaking the isospin is not of the order of $10^{-4}$ of the cross section of the allowed process but of the order of $1\%$. The paper draws attention to the reactions $pp\to p(f_1(1285)/f_1(1420))p\to p({\pi }^{+}{\pi }^{-}{\pi }^0)p$ and $pp\to p(K\bar{K})p\to p(a_0^0(980))p\to p(\eta {\pi }^0)p$ in which a similar situation can be realized, owing to the $K\bar{K}$ loop mechanisms of the breaking of isotopic symmetry. We note that there is no visible background in the ${\pi }^{+}{\pi }^{-}{\pi }^0$ and $\eta {\pi }^0$ channels. Observation of the process $pp\to p(f_1(1285))p\to p({\pi }^{+}{\pi }^{-}{\pi }^0)p$ would be a confirmation of the first results from the VES and BESIII detectors, indicating the very large isospin breaking in the decay $f_1(1285))\to {\pi }^{+}{\pi }^{-}{\pi }^0$.

5 pages, 4 figures; v2: title changed, comments and references added

References in corpus (11)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Central Exclusive Particle Production at High Energy Hadron Colliders
• $f_1(1285)$ decays into $a_0(980){\pi }^0$, $f_0(980){\pi }^0$ and isospin breaking
• 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
• Measurement of central exclusive pi+pi- production in p-pbar collisions at sqrt(s) = 0.9 and 1.96 TeV at CDF
• Observation of the isospin-violating decay $J/\psi \to \varphi {\pi }^0{f}_0(980)$
• Mechanisms of the isospin-breaking decay $f_1(1285)\to f_0(980){\pi }^0\to {\pi }^{+}{\pi }^{-}{\pi }^0$
• A review of central production experiments at the CERN Omega spectrometer
• Exclusive and semi-exclusive ${\pi }^{+}{\pi }^{-}$ production in proton-proton collisions at sqrt(s) = 7 TeV
• Fixed target experiments at the Fermilab Tevatron

Cited by in corpus (3)

• Central exclusive diffractive production of axial-vector $f_1(1285)$ and $f_1(1420)$ mesons in proton-proton collisions
• Strong isospin symmetry breaking in light scalar meson production
• Exclusive $f_1(1285)$ meson production for energy ranges available at the GSI-FAIR with HADES and PANDA