Erratum: Coupled channel analysis of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math>meson decay in lattice QCD [Phys. Rev. D 84, 054503 (2011)]

Lang, C. B.; Mohler, Daniel; Prelovšek, Saša; Vidmar, Matija

doi:10.1103/physrevd.89.059903

Cited by 141 publications

(242 citation statements)

References 0 publications

Supporting

Mentioning

226

Contrasting

Unclassified

Order By: Relevance

“…Our method does not rely upon the analytical form of the volume dependence to make extrapolations since for every L considered, the exact L dependence is provided by δG L (E(L), L). 13 On the other hand, for very small binding energies, some subtleties appear, because the coupling g 2 tends to zero as the mass of the bound state approaches the threshold [53,64,65]. We will discuss this issue at length in Subsec.…”

Section: Inverse Analysis: Bound State Fitmentioning

confidence: 99%

“…(4.17) will perform. 13 We extract the mass and the coupling of the bound state from a fit to the sub-threshold level in Fig. 3 with the following χ 2 function,…”

Section: Inverse Analysis: Bound State Fitmentioning

confidence: 99%

“…This method converts binding energies of a hadron-hadron system in the finite box into phase shifts of hadron-hadron interaction from levels above threshold, or binding energies from levels below threshold [4][5][6]. From the phase shifts one can get resonance properties, and there are several works that have recently applied these techniques to study the ρ resonance [7][8][9][10][11][12][13][14][15]. There exist other resonances far more difficult to get with this approach like the a 1 (1260), which was also attempted in [14] (see also its determination using finite volume calculations with effective field theory in [16]).…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Hidden charm molecules in finite volume

et al. 2013

View full text Add to dashboard Cite

In the present paper we address the interaction of pairs of charmed mesons with hidden charm in a finite box. We use the interaction from a recent model based on heavy quark spin symmetry that predicts molecules of hidden charm in the infinite volume. The energy levels in the box are generated within this model, and from them some synthetic data are generated. These data are then employed to study the inverse problem of getting the energies of the bound states and phase shifts for DD or D * D * . Different strategies are investigated using the lowest two levels for different values of the box size, carrying a study of the errors produced. Starting from the upper level, fits to the synthetic data are carried out to determine the scattering length and effective range plus the binding energy of the ground state. A similar strategy using the effective range formula is considered with a simultaneous fit to the two levels, one above and the other one below threshold. This method turns out to be more efficient than the other one. Finally, a method based on the fit to the data by means of a potential and a loop function conveniently regularized, turns out to be very efficient and allows to produce accurate results in the infinite volume starting from levels of the box with errors far larger than the uncertainties obtained in the final results. A regularization method based on Gaussian wave functions turns out to be rather efficient in the analysis and as a byproduct a practical and fast method to calculate the Lüscher function with high precision is presented.

show abstract

Section: Inverse Analysis: Bound State Fitmentioning

confidence: 99%

“…(4.17) will perform. 13 We extract the mass and the coupling of the bound state from a fit to the sub-threshold level in Fig. 3 with the following χ 2 function,…”

Section: Inverse Analysis: Bound State Fitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Hidden charm molecules in finite volume

et al. 2013

View full text Add to dashboard Cite

show abstract

“…Other recent progress in calculating excited-state energies in lattice QCD can be found in Refs. [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD

et al. 2013

View full text Add to dashboard Cite

Multi-hadron operators are crucial for reliably extracting the masses of excited states lying above multi-hadron thresholds in lattice QCD Monte Carlo calculations. The construction of multi-hadron operators with significant coupling to the lowest-lying multi-hadron states of interest involves combining single hadron operators of various momenta. The design and implementation of large sets of spatially-extended single-hadron operators of definite momentum and their combinations into two-hadron operators are described. The single hadron operators are all assemblages of gaugecovariantly-displaced, smeared quark fields. Group-theoretical projections onto the irreducible representations of the symmetry group of a cubic spatial lattice are used in all isospin channels. Tests of these operators on 24 3 × 128 and 32 3 × 256 anisotropic lattices using a stochastic method of treating the low-lying modes of quark propagation which exploits Laplacian Heaviside quark-field smearing are presented. The method provides reliable estimates of all needed correlations, even those that are particularly difficult to compute, such as ηη → ηη in the scalar channel, which involves the subtraction of a large vacuum expectation value. A new glueball operator is introduced, and the evaluation of the mixing of this glueball operator with a quark-antiquark operator, ππ, and ηη operators is shown to be feasible.

show abstract

“…If the resonance is sufficiently far away from thresholds and in the absence of background, a simple Breit-Wigner parameterization allows to describe the phase shift and to determine the width. The prime examples are given by the ρ(770) [8][9][10][11][12][13] and also the K * (892) [14,15]. A first πK − ηK coupled-channel analysis has been carried out recently [16], see also Ref.…”

Section: Introductionmentioning

confidence: 99%

Resonance Extraction from the Finite Volume

Döring¹,

Molina²

2016

Proceedings of the 10th International Workshop on the Physics of Excited Nucleons (NSTAR2015)

View full text Add to dashboard Cite

The spectrum of excited hadrons becomes accessible in simulations of Quantum Chromodynamics on the lattice. Extensions of Lüscher's method allow to address multi-channel scattering problems using moving frames or modified boundary conditions to obtain more eigenvalues in finite volume. As these are at different energies, interpolations are needed to relate different eigenvalues and to help determine the amplitude. Expanding the T -or the K-matrix locally provides a controlled scheme by removing the known non-analyticities of thresholds. This can be stabilized by using Chiral Perturbation Theory. Different examples to determine resonance pole parameters and to disentangle resonances from thresholds are discussed, like the scalar meson f 0 (980) and the excited baryons N (1535)1/2 − and Λ(1405)1/2 − .

show abstract

Erratum: Coupled channel analysis of theρmeson decay in lattice QCD [Phys. Rev. D 84, 054503 (2011)]

Cited by 141 publications

References 0 publications

Hidden charm molecules in finite volume

Hidden charm molecules in finite volume

Extended hadron and two-hadron operators of definite momentum for spectrum calculations in lattice QCD

Resonance Extraction from the Finite Volume

Contact Info

Product

Resources

About