Lattice data analysis with UChPT finds two I=1/2 poles at physical point with positions 2094-i111 MeV and 2463-i108 MeV; lower pole splits like the sigma on ms=const trajectory and links to 3-bar, higher pole links to 6 and stays stable on Tr[M]=C trajectory.
N/D Description of Two Meson Amplitudes and Chiral Symmetry
12 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
The most general structure of an elastic partial wave amplitude when the unphysical cuts are neglected is deduced in terms of the N/D method. This result is then matched to lowest order, ${\mathcal{O}}(p^2)$, Chiral Perturbation Theory($\chi$PT) and to the exchange (consistent with chiral symmetry) of resonances in the s-channel. The extension of the method to coupled channels is also given. Making use of the former formalism, the $\pi\pi$ and $K\pi$(I=1/2) P-wave scattering amplitudes are described without free parameters when taking into account relations coming from the 1/$N_c$ expansion and unitarity. Next, the scalar sector is studied and good agreement with experiment up to $\sqrt{s}=1.4$ GeV is found. It is observed that the $a_0(980)$, $\sigma$ and $\kappa(900)$ resonances are meson-meson states originating from the unitarization of the ${\mathcal{O}}(p^2)$ $\chi$PT amplitudes. On the other hand, the $f_0(980)$ is a combination of a strong S-wave meson-meson unitarity effect and of a preexisting singlet resonance with a mass around 1 GeV. We have also studied the size of the contributions of the unphysical cuts to the $\pi\pi$(I=0) and $K\pi$(I=1/2) elastic S-wave amplitudes from $\chi$PT and the exchange of resonances in crossed channels up to $\sqrt{s}\approx 800$ MeV. The loops are calculated as in $\chi$PT at next to leading order. We find a small correction from the unphysical cuts to our calculated partial waves.
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UNVERDICTED 12representative citing papers
Chiral symmetry corrections in lattice QCD fits shift the D0*(2300) resonance pole closer to the Dπ threshold and reduce its width, while coupled channels produce a two-pole structure.
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.
Fitting a spectator-isobar three-body unitary amplitude to BESIII K0S K0S pi0 data yields poles at (1277±2±1)-i(12±1±0) MeV for f1(1285) and (1435±2±7)-i(40±2±1) MeV for f1(1420), with the latter traced to a K Kbar* quasi-bound state.
Finite-volume N/D analysis with left-hand cuts applied to lattice data shows a mild but statistically significant effect on H-dibaryon binding energy compared to Lüscher quantization.
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.
Chiral EFT with lattice-fitted LECs and unitarization predicts resonance, virtual, and bound states plus scattering parameters for doubly charmed baryon-meson systems at physical quark masses.
Calculates and unitarizes scalar, vector, and tensor two-meson form factors in U(3) resonance chiral theory using parameters from previous meson-meson scattering studies.
Joint analysis of experimental and lattice data confirms Z_c(3900) and Z_cs(3985) as SU(3) flavor partners with pole masses (3879.6 ± 4.8) MeV and (3976.9 ± 5.1) MeV, half-widths (32.2 ± 4.7) MeV and (28.8 ± 5.9) MeV, both resonances.
Coupled-channel calculations show Pc and Pcs states as molecular bound states with RMS radii 0.5-2 fm when heavy-quark spin symmetry is respected across all channels.
Including ππ final-state interactions in large-Nc ChPT improves agreement with η′ → η ππ data and yields Dalitz parameters a = -0.085(18)stat(4)syst, b = -0.081(10)stat(6)syst, d = -0.045(6)stat(8)syst.
citing papers explorer
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Revealing the $D_0^*(2300)$ two-pole structure from lattice data and the SU(3) limit
Lattice data analysis with UChPT finds two I=1/2 poles at physical point with positions 2094-i111 MeV and 2463-i108 MeV; lower pole splits like the sigma on ms=const trajectory and links to 3-bar, higher pole links to 6 and stays stable on Tr[M]=C trajectory.
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Analysis of the $D_0^*(2300)$ resonance from lattice QCD under chiral symmetry
Chiral symmetry corrections in lattice QCD fits shift the D0*(2300) resonance pole closer to the Dπ threshold and reduce its width, while coupled channels produce a two-pole structure.
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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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Three-body unitary determination of the $f_1(1285)$ and $f_1(1420)$ pole positions
Fitting a spectator-isobar three-body unitary amplitude to BESIII K0S K0S pi0 data yields poles at (1277±2±1)-i(12±1±0) MeV for f1(1285) and (1435±2±7)-i(40±2±1) MeV for f1(1420), with the latter traced to a K Kbar* quasi-bound state.
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Finite-volume analysis of the $H$-dibaryon including left-hand-cut effects
Finite-volume N/D analysis with left-hand cuts applied to lattice data shows a mild but statistically significant effect on H-dibaryon binding energy compared to Lüscher quantization.
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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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Doubly charmed baryon-light meson scattering in chiral effective theory with lattice constraints
Chiral EFT with lattice-fitted LECs and unitarization predicts resonance, virtual, and bound states plus scattering parameters for doubly charmed baryon-meson systems at physical quark masses.
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Unified study of scalar, vector and tensor two-meson form factors in $U(3)$ resonance chiral theory
Calculates and unitarizes scalar, vector, and tensor two-meson form factors in U(3) resonance chiral theory using parameters from previous meson-meson scattering studies.
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Determination of the $Z_c(3900)$ and the $Z_{cs}(3985)$ states from joint analysis of experimental and lattice data
Joint analysis of experimental and lattice data confirms Z_c(3900) and Z_cs(3985) as SU(3) flavor partners with pole masses (3879.6 ± 4.8) MeV and (3976.9 ± 5.1) MeV, half-widths (32.2 ± 4.7) MeV and (28.8 ± 5.9) MeV, both resonances.
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Study of the molecular Properties of the $P_c$ and $P_{cs}$ States
Coupled-channel calculations show Pc and Pcs states as molecular bound states with RMS radii 0.5-2 fm when heavy-quark spin symmetry is respected across all channels.
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Study of $\eta^\prime \to \eta \pi\pi $ Decays in Large-$N_C$ Chiral Perturbation Theory
Including ππ final-state interactions in large-Nc ChPT improves agreement with η′ → η ππ data and yields Dalitz parameters a = -0.085(18)stat(4)syst, b = -0.081(10)stat(6)syst, d = -0.045(6)stat(8)syst.