Resonance properties from the finite-volume energy spectrum

Bernard, Véronique; Lage, M.; Meißner, Ulf‐G.; Rusetsky, Akaki

doi:10.1088/1126-6708/2008/08/024

Cited by 164 publications

(185 citation statements)

References 47 publications

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“…In particular, the Lüscher method and its extensions for relating finite-volume spectra to scattering amplitudes are now well established for elastic [5][6][7][8][9][10][11][12][13][14] and coupled-channel [15][16][17][18][19] hadron-hadron scattering. These methods have been demonstrated in a number of applications, notably for the ρ-resonance seen in P -wave ππ scattering [20][21][22][23][24][25][26][27][28][29], and for the σ resonance seen in S-wave ππ scattering [30].…”

Section: Jhep10(2016)011mentioning

confidence: 99%

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Moir

Peardon

Ryan

et al. 2016

J. High Energ. Phys.

175

266

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We present the first lattice QCD study of coupled-channel Dπ, Dη and D sK scattering in isospin-1/2 in three partial waves. Using distillation, we compute matrices of correlation functions with bases of operators capable of resolving both meson and mesonmeson contributions to the spectrum. These correlation matrices are analysed using a variational approach to extract the finite-volume energy eigenstates. Utilising Lüscher's method and its extensions, we constrain scattering amplitudes in S, P and D-wave as a function of energy. By analytically continuing the scattering amplitudes to complex energies, we investigate the S-matrix singularities. Working at m π ≈ 391 MeV, we find a pole corresponding to a J P = 0 + near-threshold bound state with a large coupling to Dπ. We also find a deeply bound J P = 1 − state, and evidence for a J P = 2 + narrow resonance coupled predominantly to Dπ. Elastic Dπ scattering in the isospin-3/2 channel is studied and we find a weakly repulsive interaction in S-wave.

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Section: Jhep10(2016)011mentioning

confidence: 99%

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Moir

Peardon

Ryan

et al. 2016

J. High Energ. Phys.

175

266

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“…A detailed study for the case of 0 − , 1/2 + interacting particles is done in Ref. [70], which is generalized in Ref. [71] to moving frames.…”

Section: D-waves For Kk * With Chiral Lagrangiansmentioning

confidence: 99%

S-waveKKinteractions in a finite volume and thef
Geng
¹
,
Ren
²
,
Zhou
³

et al. 2015
Phys. Rev. D*
29
2
33
0
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Lattice QCD simulations provide a promising way to disentangle different interpretations of hadronic resonances, which might be of particular relevance to understand the nature of the so-called XY Z particles. Recent studies have shown that in addition to the well-established naive quark model picture, the axial-vector meson f 1 (1285) can also be understood as a dynamically generated state built upon the KK * interaction. In this work, we calculate the energy levels of the KK * system in the f 1 (1285) channel in finite volume using the chiral unitary approach. We propose to calculate the loop function in the dimensional regularization scheme, which is equivalent to the hybrid approach adopted in previous studies. We also study the inverse problem of extracting the bound state information from synthetic lattice QCD data and comment on the difference between our approach and the Lüscher method. *

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“…Recently, Lüscher's formalism has been extended to coupled-channels systems (i.e. channels that are coupled in infinite-volume), and to systems comprised of particles with non-zero spin [26][27][28][29][30][31][32][33][34][35][36][37][38]. Further, the FV formalism describing nucleon-nucleon (NN) systems with arbitrary CM momenta, spin, angular momentum, isospin and twisted boundary conditions has been developed, providing the quantization conditions (QCs) for the energy eigenvalues in irreducible representations (irreps) of the FV symmetry groups [39].…”

Section: Introductionmentioning

confidence: 99%

Two-particle elastic scattering in a finite volume including QED

2014

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The presence of long-range interactions violates a condition necessary to relate the energy of two particles in a finite volume to their S-matrix elements in the manner of Lüscher. While in infinite volume, QED contributions to low-energy charged particle scattering must be resummed to all orders in perturbation theory (the Coulomb ladder diagrams), in a finite volume the momentum operator is gapped, allowing for a perturbative treatment. The leading QED corrections to the two-particle finite-volume energy quantization condition below the inelastic threshold, as well as approximate formulas for energy eigenvalues, are obtained. In particular, we focus on two spinless hadrons in the A + 1 irreducible representation of the cubic group, and truncate the strong interactions to the s-wave. These results are necessary for the analysis of Lattice QCD+QED calculations of charged-hadron interactions, and can be straightforwardly generalized to other representations of the cubic group, to hadrons with spin, and to include higher partial waves.

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Resonance properties from the finite-volume energy spectrum

Cited by 164 publications

References 47 publications

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

S-waveKKinteractions in a finite volume and thef
Geng
¹
,
Ren
²
,
Zhou
³

et al. 2015
Phys. Rev. D*
29
2
33
0
View full text Add to dashboard Cite

Two-particle elastic scattering in a finite volume including QED

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Resonance properties from the finite-volume energy spectrum

Cited by 164 publications

References 47 publications

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

Coupled-channel Dπ, Dη and D s K ¯ $$ {D}_s\overline{K} $$ scattering from lattice QCD

S-waveKK*interactions in a finite volume and thefGeng1, Ren2, Zhou3 et al. 2015Phys. Rev. D292330View full textAdd to dashboardCite

Two-particle elastic scattering in a finite volume including QED

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About

S-waveKKinteractions in a finite volume and thef
Geng
¹
,
Ren
²
,
Zhou
³

et al. 2015
Phys. Rev. D*
29
2
33
0
View full text Add to dashboard Cite