Lattice QCD calculation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math>meson decay width

Aoki, Sinya; Fukugita, M.; Ishikawa, K-I.; Ishizuka, N.; Kanaya, K.; Kuramashi, Y.; Namekawa, Yusuke; Okawa, M.; Sasaki, Kenji; Ukawa, A.; Yoshié, T.

doi:10.1103/physrevd.76.094506

Cited by 147 publications

(109 citation statements)

References 10 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.

171

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.

171

266

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“…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%

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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“…A more rigorous approach in which the phase shift is first extracted from measured energy levels and Lüscher's formula, and resonance masses and widths are subsequently determined from the phase shift, was pioneered in [83]. Because of severe computational cost, it will take more time before physical point calculations can treat resonances numerically precisely in this way.…”

Section: Mass Spectrum Of Light Mesons and Baryonsmentioning

confidence: 99%

Kenneth Wilson and Lattice QCD

Ukawa

2015

J Stat Phys

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We discuss the physics and computation of lattice QCD, a spacetime lattice formulation of quantum chromodynamics, and Kenneth Wilson's seminal role in its development. We start with the fundamental issue of confinement of quarks in the theory of the strong interactions, and discuss how lattice QCD provides a framework for understanding this phenomenon. A conceptual issue with lattice QCD is a conflict of space-time lattice with chiral symmetry of quarks. We discuss how this problem is resolved. Since lattice QCD is a non-linear quantum dynamical system with infinite degrees of freedom, quantities which are analytically calculable are limited. On the other hand, it provides an ideal case of massively parallel numerical computations. We review the long and distinguished history of parallel-architecture supercomputers designed and built for lattice QCD. We discuss algorithmic developments, in particular the difficulties posed by the fermionic nature of quarks, and their resolution. The triad of efforts toward better understanding of physics, better algorithms, and more powerful supercomputers have produced major breakthroughs in our understanding of the strong interactions. We review the salient results of this effort in understanding the hadron spectrum, the Cabibbo-Kobayashi-Maskawa matrix elements and CP violation, and quark-gluon plasma at high temperatures. We conclude with a brief summary and a future perspective.

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Lattice QCD calculation of theρmeson decay width

Cited by 147 publications

References 10 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

Kenneth Wilson and Lattice QCD

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