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Towards a theory of hadron resonances
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Towards a theory of hadron resonances
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In this review, we present the current state of the art of our understanding of the spectrum of excited strongly interacting particles and discuss methods that allow for a systematic and model-independent calculation of the hadron spectrum. These are lattice QCD and effective field theories. Synergies between both approaches can be exploited allowing for deeper understanding of the hadron spectrum. Results based on effective field theories and hadron-hadron scattering in lattice QCD or combinations thereof are presented and discussed. We also show that the often used Breit-Wigner parameterization is at odds with chiral symmetry and should not be used in case of strongly coupled channels.
Forward citations
Cited by 14 Pith papers
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Emergence of the $\pi(1300)$ Resonance from Lattice QCD
Lattice QCD plus three-body scattering formalism yields a π(1300)-like pole at (1169±46)−i(62−62+168) MeV, consistent with experiment.
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Resonances at finite temperature from the lattice
Thermoparticle states are used to generalize the two-particle finite-volume quantization condition to finite temperature, keeping the kinematic function finite at all real energies and opening a route to thermal reson...
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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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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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Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD
The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.
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Effective Range Expansion with the Left-Hand Cut: Higher Order Improvements
Extended the generalized effective-range expansion, including the left-hand cut from one-particle exchange, to O(k^6) with a new relativistic version, validated against exact Yukawa-potential solutions of the Lippmann...
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Diffusion Monte Carlo study of deuteron-like fully light hexaquarks
Within the AL1 constituent-quark model, compact uuuddd hexaquarks lie well above baryon–baryon thresholds while dibaryon-like states are near-threshold molecular candidates, one deuteron-like but unbound by ~12 MeV.
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Possibility of the antibottom-strange molecular pentaquarks near $ B\Sigma$ and $ B^*\Sigma$ thresholds
Coupled-channel OBE dynamics with S–D mixing produce three near-threshold poles dominated by BΣ/B*Σ that should show as narrow enhancements in open Bs0N, BΛ and B*Λ channels.
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Symmetry Analysis of Compact Tetraquark States and Implications for the Level Ordering of the Fully Charmed Candidates $X(6600)$, $X(6900)$, and $X(7100)$
Symmetry analysis of compact tetraquarks shows low-energy states favor J^P=2+ and places X(6600), X(6900), X(7100) among the lower levels of the fully charmed spectrum.
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Symmetry Analysis of Compact Tetraquark States and Implications for the Level Ordering of the Fully Charmed Candidates $X(6600)$, $X(6900)$, and $X(7100)$
Counting symmetry-allowed states up to orbital angular momentum L=3 predicts low-lying compact tetraquarks prefer J^P=2^+, matching the observed 2^{++} fully charmed X states.
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The $a_1(1420)$ in a Unitary Coupled-Channel Three-Body Approach
Unitary coupled-channel three-body model fitted to COMPASS data reproduces the a1(1420) enhancement via triangle singularity, indicating no genuine resonance pole is required.
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Finding Low Star Discrepancy 3D Kronecker Point Sets Using Algorithm Configuration Techniques
Optimizing the two Kronecker parameters with irace yields new state-of-the-art L∞ star discrepancy for 3D point sets of size at least 500 and for ranges of sizes.
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Effects of Final State Interactions on Landau Singularities
Triangle singularities mimicking resonances are analyzed in the presence of final-state rescattering using Landau equations and a scattering formalism enforcing two- and three-body unitarity.
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Investigating the two-pion exchange of the double charm $DD^*$ chiral interactions and $T_{cc}$
In this chiral EFT calculation the I=0 DD* two-pion-exchange potential is repulsive, and its near-cancellation with attractive contact and one-pion terms provides the weak binding of Tcc.
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