Resonance parameters of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math>meson from lattice QCD

Feng, Xu; Jansen, Karl; Renner, Dru B.

doi:10.1103/physrevd.83.094505

Cited by 208 publications

(304 citation statements)

References 38 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]. It has also recently been shown that, with sufficiently extensive and precise spectra, information on coupled-channel hadron-hadron scattering amplitudes can be obtained [26,[31][32][33] -this is crucial for understanding highly excited states that are typically kinematically permitted to decay into several channels.…”

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.

172

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.

172

266

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“…The b 1 channel also couples to η 2 ρ, its contribution might be relevant only above threshold for energies above O(1.5) GeV and we omit this interpolator. 2 To summarize, we assume that the elastic scattering ρπ and ωπ dominates both channels in the energy region of interest and rely on the same assumption when extracting Γ a 1 →ρπ and Γ b 1 →ωπ from the experimental data. We note that the inelastic scattering with coupled channels has not been treated in lattice simulations yet, while the analytic frameworks for this challenging problem were developed, for example, in [34][35][36][37].…”

Section: Jhep04(2014)162mentioning

confidence: 99%

“…The ρ mass in table 2 was extracted as m ρ = E ρ (p = 0) in [3] and is indeed found close to m res ρ in all simulations [1][2][3][4][5][6]. The ω energy is calculated using quark-antiquark interpolators O s=n 1−5 given by eq.…”

Section: Masses Of π ρ ωmentioning

confidence: 99%

“…This is the case also for all vector (J P = 1 − ) and axial-vector (J P = 1 + ) mesons. The vector resonance ρ is the only hadronic resonance that has been treated on the lattice by several collaborations [1][2][3][4][5][6], taking into account its unstable nature and extracting its resonance mass as well as the width. First steps in this direction were also made recently for the vector resonance K * (892) [7], where mass and width were extracted.…”

Section: Introductionmentioning

confidence: 99%

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Axial resonances a 1(1260), b 1(1235) and their decays from the lattice

Lang

Leskovec

Mohler

et al. 2014

J. High Energ. Phys.

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Abstract:The light axial-vector resonances a 1 (1260) and b 1 (1235) are explored in N f = 2 lattice QCD by simulating the corresponding scattering channels ρπ and ωπ. Interpolating fields qq and ρπ or ωπ are used to extract the s-wave phase shifts for the first time. The ρ and ω are treated as stable and we argue that this is justified in the considered energy range and for our parameters m π ≃ 266 MeV and L ≃ 2 fm. We neglect other channels that would be open when using physical masses in continuum. Assuming a resonance interpretation a Breit-Wigner fit to the phase shift gives the a 1 (1260) resonance mass m res a 1 = 1.435(53)( +0 −109 ) GeV compared to m exp a 1 = 1.230(40) GeV. The a 1 width Γ a 1 (s) ≡ g 2 p/s is parametrized in terms of the coupling and we obtain g a 1 ρπ = 1.71(39) GeV compared to g exp a 1 ρπ = 1.35(30) GeV derived from Γ exp a 1 = 425(175) MeV. In the b 1 channel, we find energy levels related to π(0)ω(0) and b 1 (1235), and the lowest level is found at E 1 m ω + m π but is within uncertainty also compatible with an attractive interaction. Assuming the coupling g b 1 ωπ extracted from the experimental width we estimate m res b 1 = 1.414(36) +0 −83 .

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“…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%

Hidden charm molecules in finite volume

et al. 2013

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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.

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Resonance parameters of theρmeson from lattice QCD

Cited by 208 publications

References 38 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

Axial resonances a 1(1260), b 1(1235) and their decays from the lattice

Hidden charm molecules in finite volume

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