<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>- and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>D</mml:mi></mml:math>-wave phase shifts in isospin-2<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mi>π</mml:mi></mml:math>scattering from lattice QCD

Dudek, Jozef J.; Edwards, Robert G.; Thomas, C.

doi:10.1103/physrevd.86.034031

Cited by 196 publications

(297 citation statements)

References 44 publications

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“…By fitting to a relativistic dispersion relation, the anisotropy measured from the D-meson has been determined to be ξ D = 3.454(6) [34], which agrees with the value measured from the pion ξ π = 3.444 (6) [44]. In this work, we use ξ π as the anisotropy and present our determination of scattering amplitudes incorporating its statistical uncertainty.…”

Section: Calculation Detailssupporting

confidence: 48%

“…. ψ [46,49], as well as those resembling the combination of two-mesons, [25,44], where Ω M i ( p i ) is a variationally-optimal linear combination of fermion-bilinear operators to interpolate meson M i with momentum p i , and C is a generalised Clebsch Gordan coefficient. For isospin-1/2 scattering we useqq operators along with Dπ, Dη and D sK "two-meson" operators.…”

Section: Finite-volume Spectramentioning

confidence: 99%

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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.

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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: Calculation Detailssupporting

confidence: 48%

Section: Finite-volume Spectramentioning

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.

Self Cite

175

266

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“…The problem has been thoroughly studied in Ref. [18] and it is particularly relevant when one performs lattice simulations for particles in a moving frame [22,[35][36][37][38][39][40][41][42][43][44]. The formulation for moving frames along the lines of Ref.…”

Section: B Finite Volumementioning

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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“…Two-particle interpolating operators in a given irrep can be written as a linear combination of products of single particle interpolating operators with appropriate Clebsch-Gordan coefficients [226,186,219,220,221,156,222,223,225]. By first considering an energy range where only a single channel is present, one can readily write down the relevant two-body…”

Section: Two-point Correlation Functionsmentioning

confidence: 99%

Multi-Hadron Observables from Lattice Quantum Chromodynamics

Hansen¹

2014

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Multi-Hadron Observables from Lattice Quantum Chromodynamics Maxwell T. HansenChair of the Supervisory Committee:Professor Stephen R. Sharpe Department of PhysicsWe describe formal work that relates the finite-volume spectrum in a quantum field theory to scattering and decay amplitudes. This is of particular relevance to numerical calculations performed using Lattice Quantum Chromodynamics (LQCD). Correlators calculated using LQCD can only be determined on the Euclidean time axis. For this reason the standard method of determining scattering amplitudes via the Lehmann-Symanzik-Zimmermann reduction formula cannot be employed. By contrast, the finite-volume spectrum is directly accessible in LQCD calculations. Formalism for relating the spectrum to physical scattering observables is thus highly desirable.In this thesis we develop tools for extracting physical information from LQCD for four types of observables. First we analyze systems with multiple, strongly-coupled two-scalar channels. Here we accommodate both identical and nonidentical scalars, and in the latter case allow for degenerate as well as nondegenerate particle masses. Using relativistic field theory, and summing to all orders in perturbation theory, we derive a result relating the finite-volume spectrum to the two-to-two scattering amplitudes of the coupled-channel theory. This generalizes the formalism of Martin Lüscher for the case of single-channel scattering. Second we consider the weak decay of a single particle into multiple, coupled two-scalar channels. We show how the finite-volume matrix element extracted in LQCD is related to matrix elements of asymptotic two-particle states, and thus to decay amplitudes. This generalizes work by Laurent Lellouch and Martin Lüscher. Third we extend the method for extracting matrix elements by considering currents which insert energy, momentum and angular momentum. This allows one to extract transition matrix elements and form factors from LQCD. Finally we look beyond two-particle systems to those with three-particles in asymptotic states. Working again to all orders in relativistic field theory, we derive a relation between the spectrum and an infinite-volume three-to-three scattering quantity. This final analysis is the most complicated of the four, because the all-orders summation is more difficult for this system, and also because a number of new technical issues arise in analyzing the contributing diagrams.

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S- andD-wave phase shifts in isospin-2ππscattering from lattice QCD

Cited by 196 publications

References 44 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

Multi-Hadron Observables from Lattice Quantum Chromodynamics

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S- andD-wave phase shifts in isospin-2ππscattering from lattice QCD

Cited by 196 publications

References 44 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

Multi-Hadron Observables from Lattice Quantum Chromodynamics

Contact Info

Product

Resources

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