Nine-channel unitary three-body fits to COMPASS lineshapes reproduce the a1(1420) enhancement by triangle singularity without requiring a genuine a1(1420) pole.
The inverse amplitude method in Chiral Perturbation Theory
6 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Based on a dispersive approach, we apply the inverse amplitude method to unitarize one-loop SU(2) and SU(3) Chiral Perturbation Theory. Numerically, we find that this unitarization technique yields the correct complex analytic structure in terms of cuts and poles. Indeed, using the chiral parameter estimates obtained from low energy experiments we obtain the poles associated with the rho(770) and K^*(982) resonances. Just by fixing their actual masses we obtain a parametrization of the pi-pi and pi-K phase shifts in eight different channels. With this fit we have then calculated several low-energy phenomenological parameters estimating their errors. Among others, we have obtained the chiral parameters and scattering lengths, which can be relevant for future experiments.
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hep-ph 6representative citing papers
Relativistic U(3) chiral EFT at NLO yields scattering lengths that match lattice data and identifies D_s1(2460) as an SU(3) triplet bound-state pole and D1(2430) as a triplet-sextet pole pair, none of which are conventional q-bar q states.
Derives an exact integral representation of the left-hand cut for arbitrary isospin and angular momentum partial waves as an integral over right-hand cut imaginary parts.
In the chiral unitary approach with dimensional regularization and new photon-baryon diagrams, the computed Lambda(1520) to gamma Sigma0 width matches BESIII data while the gamma Lambda width underpredicts the CLAS result.
X0(4140) is a dynamically generated J/psi phi pole with single-channel scattering length 1.11 fm; X1(4685) is interpreted as a psi(2S) phi hadronic molecule under heavy quark spin symmetry.
Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0.062)×10^{-16} and (0.597±0.058)×10^{-16} for the two charge modes.
citing papers explorer
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The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach
Nine-channel unitary three-body fits to COMPASS lineshapes reproduce the a1(1420) enhancement by triangle singularity without requiring a genuine a1(1420) pole.
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The $D_{s1}(2460)$ and other open-charm $1^+$ states in relativistic chiral effective field theory
Relativistic U(3) chiral EFT at NLO yields scattering lengths that match lattice data and identifies D_s1(2460) as an SU(3) triplet bound-state pole and D1(2430) as a triplet-sextet pole pair, none of which are conventional q-bar q states.
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The left-cut for partial waves in terms of physical amplitudes
Derives an exact integral representation of the left-hand cut for arbitrary isospin and angular momentum partial waves as an integral over right-hand cut imaginary parts.
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Radiative decays of the $\Lambda(1520)$ as a dynamically generated resonance
In the chiral unitary approach with dimensional regularization and new photon-baryon diagrams, the computed Lambda(1520) to gamma Sigma0 width matches BESIII data while the gamma Lambda width underpredicts the CLAS result.
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Decoding the near-threshold $X_{0,\,1}(4140)$ and $X_{1}(4685)$ states via OZI-suppressed coupled-channel scattering
X0(4140) is a dynamically generated J/psi phi pole with single-channel scattering length 1.11 fm; X1(4685) is interpreted as a psi(2S) phi hadronic molecule under heavy quark spin symmetry.
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Study of electron-positron annihilation into four pions within chiral effective field theory in the low energy region
Chiral effective field theory and resonance chiral theory yield cross sections for e+e- to four pions that are one to two orders smaller than data, with hadronic vacuum polarization contributions to (g-2)μ of (0.680±0.062)×10^{-16} and (0.597±0.058)×10^{-16} for the two charge modes.