Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
Glueball Spectrum and Matrix Elements on Anisotropic Lattices
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The glueball-to-vacuum matrix elements of local gluonic operators in scalar, tensor, and pseudoscalar channels are investigated numerically on several anisotropic lattices with the spatial lattice spacing ranging from 0.1fm - 0.2fm. These matrix elements are needed to predict the glueball branching ratios in $J/\psi$ radiative decays which will help identify the glueball states in experiments. Two types of improved local gluonic operators are constructed for a self-consistent check and the finite volume effects are studied. We find that lattice spacing dependence of our results is very weak and the continuum limits are reliably extrapolated, as a result of improvement of the lattice gauge action and local operators. We also give updated glueball masses with various quantum numbers.
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First amplitude analysis of ψ(3686)→γKS0KS0 with a one-channel K-matrix finds four f0 and three f2 poles consistent with known states and reports branching-fraction ratios to J/ψ decays that constrain possible glueball content.
The analysis selects the negative E1 phase solution for 0++-2++ amplitudes in J/ψ → γπ⁰π⁰ as consistent with Omnès phases from f0 resonances without large extra phases, and normalizes amplitudes via the branching fraction for future use.
Mixing with a small angle between the pseudoscalar glueball and η_c can increase Br(J/ψ → γ X(2370)) well above the pure-glueball value of 2.3(8)×10^{-4}.
A two-gluon constituent model with instanton-induced mass and adjoint confinement predicts a compact scalar glueball of radius ~1/3 fm and an extended tensor state, matching quenched lattice results.
Fully-strange tetraquarks mostly show narrow fall-apart decay widths of O(10) MeV, with X(2300) possibly matching the 1S-wave 1^{+-} state at 2323 MeV and X(2500) the 1P-wave 0^{-+} state at 2481 MeV.
citing papers explorer
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The two-flavor Schwinger model at 50: Solving Coleman's puzzles
Coleman's puzzles are solved: at θ=π with equal masses the model shows spontaneous charge conjugation breaking and no confinement with mass gap ~m exp(-0.111 g²/m²) at strong coupling; at θ=0 a level crossing occurs between isosinglet states; isospin-breaking effects are quantified for unequal mass.
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Amplitude analysis of $\psi(3686)\to \gamma K_S^0 K_S^0 $
First amplitude analysis of ψ(3686)→γKS0KS0 with a one-channel K-matrix finds four f0 and three f2 poles consistent with known states and reports branching-fraction ratios to J/ψ decays that constrain possible glueball content.
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Dispersive analysis of the $\boldsymbol{J/\psi \to \gamma \pi^0 \pi^0}$ process
The analysis selects the negative E1 phase solution for 0++-2++ amplitudes in J/ψ → γπ⁰π⁰ as consistent with Omnès phases from f0 resonances without large extra phases, and normalizes amplitudes via the branching fraction for future use.
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Production Rate of Glueball-like $X(2370)$ in $J/\psi$ Radiative Decay
Mixing with a small angle between the pseudoscalar glueball and η_c can increase Br(J/ψ → γ X(2370)) well above the pure-glueball value of 2.3(8)×10^{-4}.
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Glueballs, Constituent Gluons and Instantons
A two-gluon constituent model with instanton-induced mass and adjoint confinement predicts a compact scalar glueball of radius ~1/3 fm and an extended tensor state, matching quenched lattice results.
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Fully-strange tetraquarks: fall-apart decays and experimental candidates
Fully-strange tetraquarks mostly show narrow fall-apart decay widths of O(10) MeV, with X(2300) possibly matching the 1S-wave 1^{+-} state at 2323 MeV and X(2500) the 1P-wave 0^{-+} state at 2481 MeV.