Interactions of charmed mesons with light pseudoscalar mesons from lattice QCD and implications on the nature of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msubsup><mml:mi>D</mml:mi><mml:mrow><mml:mi>s</mml:mi><mml:mn>0</mml:mn></mml:mrow><mml:mo>*</mml:mo></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>2317</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>

Liu, Liuming; Orginos, Konstantinos; Guo, Feng-Kun; Hanhart, C.; Meißner, Ulf‐G.

doi:10.1103/physrevd.87.014508

Cited by 195 publications

(402 citation statements)

References 79 publications

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“…Notice that we have additional channels for the (S, I) = (1, 0) and (0, 1/2) cases compared to the previous SU (3) calculations [4,12,13,19] and the scattering amplitudes involving the η meson are also different from those references. Nevertheless, if we set the mixing angle θ to zero and use the Gell-Mann-Okubo mass relation…”

Section: Chiral Amplitudes and Their Unitarizationmentioning

confidence: 93%

“…The scattering of the charmed and light pseudoscalar mesons provides a powerful tool to probe the inner structure of D * s0 (2317). Recently much progress from lattice simulations focusing on the D * s0 (2317) state has been made investigating the previously mentioned scattering processes [4][5][6][7]. The pion masses used in these lattice simulations are still large compared to the physical value, so the chiral extrapolations are necessary to obtain physical predictions from the lattice data.…”

Section: Introductionmentioning

confidence: 99%

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New insights into theDs0*(2317)and other charm scalar mesons

2015

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Through the scattering of light-pseudoscalar mesons (π, K, η, η ′ ) off charmed mesons (D, D s ), we study the D * s0 (2317) state and other relevant charm scalar mesons in a unitarized chiral effective field theory approach. We investigate the charm scalar meson poles with different strangeness (S) and isospin (I) quantum numbers as well as their corresponding residues, which provide the coupling strengths of the charm scalar mesons. Both the light-quark mass and N C dependences of the pole positions of the D * s0 (2317) and the poles with (S, I) = (0, 1/2) are analyzed in detail in this work. Interestingly we observe quite similar pion mass trajectories for the resonance pole at around 2.1 GeV with (S, I) = (0, 1/2) to those of the f 0 (500) given in the literature. When increasing the values of N C we find that a bound state and a virtual state in the (S, I) = (1, 0) channel asymmetrically approach the DK threshold for N C < 6, and they meet at this threshold at N C = 6. When N C > 6, the bound and virtual states move into the complex plane on the second Riemann sheet and become a symmetric pair of resonance poles. For large enough values of N C , neither the D * s0 (2317) pole nor the poles with (S, I) = (0, 1/2) tend to fall down to the real axis, indicating that they do not behave like a standard quark-antiquark meson at large N C .

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Section: Chiral Amplitudes and Their Unitarizationmentioning

confidence: 93%

Section: Introductionmentioning

confidence: 99%

New insights into theDs0*(2317)and other charm scalar mesons

2015

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“…In Ref. [36] lattice QCD results for the DK scattering length are obtained, and through the Weinberg compositeness condition [41,42] the amount of DK content in D * s0 (2317) is determined, with the result of a large fraction (around 70 %). Yet, this is done using an approximate formula for the scattering length.…”

Section: Introductionmentioning

confidence: 99%

$$D^*_{s0}(2317)$$ D s 0 ∗ ( 2317 ) and $$\textit{DK}$$ DK scattering in B decays from BaBar and LHCb data

2016

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“…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]). Scalar mesons have also been searched for with this method [17][18][19][20] and gradually some calculations are being performed for systems in the charm sector [21][22][23][24][25][26][27]. From another field theoretical perspective, finite volume calculations have also been devoted to this sector in [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

“…Scalar mesons have also been searched for with this method [17][18][19][20] and gradually some calculations are being performed for systems in the charm sector [21][22][23][24][25][26][27]. From another field theoretical perspective, finite volume calculations have also been devoted to this sector in [27][28][29]. In [28] theKD, ηD s interaction is studied in finite volume with the aim of learning about the nature of the D * s0 (2317) resonance from lattice data.…”

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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Interactions of charmed mesons with light pseudoscalar mesons from lattice QCD and implications on the nature of theDs0*(2317)

Abstract: We study the scattering of light pseudoscalar mesons (π, K) off charmed mesons (D,

Cited by 195 publications

References 79 publications

New insights into theDs0*(2317)and other charm scalar mesons

New insights into theDs0*(2317)and other charm scalar mesons

$$D^*_{s0}(2317)$$ D s 0 ∗ ( 2317 ) and $$\textit{DK}$$ DK scattering in B decays from BaBar and LHCb data

Hidden charm molecules in finite volume

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