Lattice QCD at m_π≈391 MeV finds D1 bound state below D*π threshold strongly coupled in S-wave and D1' resonance in elastic D*π region for I=1/2 charmed channels.
Scattering processes and resonances from lattice QCD
8 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The vast majority of hadrons observed in nature are not stable under the strong interaction, rather they are resonances whose existence is deduced from enhancements in the energy dependence of scattering amplitudes. The study of hadron resonances offers a window into the workings of quantum chromodynamics (QCD) in the low-energy non-perturbative region, and in addition, many probes of the limits of the electroweak sector of the Standard Model consider processes which feature hadron resonances. From a theoretical standpoint, this is a challenging field: the same dynamics that binds quarks and gluons into hadron resonances also controls their decay into lighter hadrons, so a complete approach to QCD is required. Presently, lattice QCD is the only available tool that provides the required non-perturbative evaluation of hadron observables. In this article, we review progress in the study of few-hadron reactions in which resonances and bound-states appear using lattice QCD techniques. We describe the leading approach which takes advantage of the periodic finite spatial volume used in lattice QCD calculations to extract scattering amplitudes from the discrete spectrum of QCD eigenstates in a box. We explain how from explicit lattice QCD calculations, one can rigorously garner information about a variety of resonance properties, including their masses, widths, decay couplings, and form factors. The challenges which currently limit the field are discussed along with the steps being taken to resolve them.
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UNVERDICTED 8representative citing papers
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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.
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.
QCD sum rules yield lowest masses of 1.53-2.34 GeV for light 1^{--} tetraquarks across isoscalar, isovector and isotensor sectors plus one 1^{-+} isotensor mass of 2.19 GeV.
Framework for exact and approximate kernel transformations between smeared spectral functions, including systematic error bounds computable from input data.
New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.
This is a review chapter summarizing the established framework of scattering theory in particle physics.
citing papers explorer
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$D_1$ and $D_2$ resonances in coupled-channel scattering amplitudes from lattice QCD
Lattice QCD at m_π≈391 MeV finds D1 bound state below D*π threshold strongly coupled in S-wave and D1' resonance in elastic D*π region for I=1/2 charmed channels.
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Elastic and resonance structures of the nucleon from hadronic tensor in lattice QCD: implications for neutrino-nucleon scattering and hadron physics
Lattice QCD computation of hadronic tensor yields consistent nucleon Sachs electric form factor and extracts transition form factors to the Roper resonance region for inclusive cross sections.
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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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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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Light tetraquark states with $J^{PC}=1^{--}$ from QCD sum rules
QCD sum rules yield lowest masses of 1.53-2.34 GeV for light 1^{--} tetraquarks across isoscalar, isovector and isotensor sectors plus one 1^{-+} isotensor mass of 2.19 GeV.
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Kernel transformations and bounds for smeared spectral functions
Framework for exact and approximate kernel transformations between smeared spectral functions, including systematic error bounds computable from input data.
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Tightening energy-based boson truncation bound using Monte Carlo-assisted methods
New analytic and Monte Carlo-assisted method tightens energy-based boson truncation bounds, reducing volume dependence in (1+1)D scalar and (2+1)D U(1) gauge theories.
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Scattering Theory
This is a review chapter summarizing the established framework of scattering theory in particle physics.