<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msubsup><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo></mml:mrow></mml:msubsup><mml:mo stretchy="false">(</mml:mo><mml:mn>3875</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math> relevant DD⁎ scattering from N = 2 lattice QCD

Chen, Siyang; Shi, Chunjiang; Chen, Ying; Gong, Ming; Li, Zhaofeng; Sun, Wei; Zhang, Renqiang

doi:10.1016/j.physletb.2022.137391

Cited by 27 publications

(9 citation statements)

References 55 publications

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“…This observation is consistent with that of the previous lattice study in Ref. [10]. Currently, efforts are being made to extract the relevant scattering amplitude near the 𝐷𝐷 * threshold for 𝐼 = 1.…”

Section: Pos(lattice2023)052supporting

confidence: 92%

“…Similar to the lattice study performed in [10], we analyze the four Wick contractions arising from the correlators in Eq. ( 1), depicted in Figure 4.…”

Section: Wick Contractionsmentioning

confidence: 99%

“…This results in the following expression for the correlators depending on the isospin quantum number (following the notation in Ref. [10])…”

Section: Wick Contractionsmentioning

confidence: 99%

“…The study of 𝑇 + 𝑐𝑐 on the lattice is related to other exotic doubly heavy tetraquarks, for example 𝑇 𝑏𝑏 [4], and 𝑇 𝑏𝑐 [5]. So far the lower lying energy spectrum of the doubly charmed tetraquark [6,7] and the 𝐷𝐷 * scattering amplitude have been computed [8][9][10]. For a tetraquark state it is natural to consider both meson-meson and diquark-antidiquark interpolators in the operator basis when determining the finite volume spectrum.…”

Section: Introductionmentioning

confidence: 99%

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Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators

Pacheco,

Collins,

Leskovec

et al. 2023

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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We perform a lattice simulation to investigate the doubly charmed tetraquark 𝑇 + 𝑐𝑐 observed by the LHCb collaboration, slightly below the 𝐷 * + 𝐷 0 threshold, with flavor content 𝑐𝑐 ū d and isospin-0. Two-meson interpolators are implemented to explore the isospin quantum numbers 𝐼 = 0 and 𝐼 = 1. We observe attraction near the 𝐷𝐷 * threshold for 𝐼 = 0 and repulsion for 𝐼 = 1. Moreover, we also include diquark-antidiquark interpolators to study their effect on the energy spectrum. There is no significant shift in the ground state energy when adding diquark-antidiquark interpolators to the interpolator basis when the heavy quark mass is close to the physical charm quark mass. However, we observe a non-negligible shift in the second energy level. This effect has to be taken into account to extract the scattering amplitude of the 𝑇 + 𝑐𝑐 . Finally, with a higher mass (close to the bottom quark), the ground state is shifted down significantly. The simulation is performed on 𝑁 𝑓 = 2 + 1 CLS ensembles with 𝑚 𝜋 ≃ 280 MeV.

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Section: Pos(lattice2023)052supporting

confidence: 92%

“…Similar to the lattice study performed in [10], we analyze the four Wick contractions arising from the correlators in Eq. ( 1), depicted in Figure 4.…”

Section: Wick Contractionsmentioning

confidence: 99%

“…This results in the following expression for the correlators depending on the isospin quantum number (following the notation in Ref. [10])…”

Section: Wick Contractionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators

Pacheco,

Collins,

Leskovec

et al. 2023

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

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“…Lattice formulation of QCD is the only ab-initio non-perturbative approach that can be utilized to study the physics in hadronic regime with quantifiable uncertainties. Although there are a handful of lattice QCD calculations of 𝑇 𝑐𝑐 [4,9,10] determining the finite-volume spectrum, there has been no determination of a pole singularity in the 𝐷𝐷 * scattering amplitude related to 𝑇 𝑐𝑐 . In this talk, we have presented a recent exploratory lattice QCD calculation of ours, which indicated a clear evidence for the existence of this exotic particle directly from the fundamental quantum field theory [11].…”

Section: Introductionmentioning

confidence: 99%

Double charm tetraquark in $DD^*$ scattering from lattice QCD

Padmanath¹,

Prelovšek²

2022

Proceedings of 41st International Conference on High Energy Physics — PoS(ICHEP2022)

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The LHCb collaboration recently discovered a doubly charmed tetraquark 𝑇 𝑐𝑐 with flavor 𝑐𝑐 ū d just 0.36(4) MeV below 𝐷 0 𝐷 * + threshold. This is the longest lived hadron with explicitly exotic quark content known to this date. We present the first lattice QCD study of 𝐷𝐷 * scattering in this channel, involving rigorous determination of pole singularities in the related scattering amplitudes that point to the existence of 𝑇 𝑐𝑐 . Working with a heavier than physical light quark mass, we find evidence for a shallow virtual bound state pole in the 𝐷𝐷 * scattering amplitude with 𝑙 = 0, which is likely related to 𝑇 𝑐𝑐 .

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Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the Tcc(3875)+

Hansen,

Romero-López,

Sharpe

2024

J. High Energ. Phys.

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We generalize the relativistic field-theoretic three-particle finite-volume scattering formalism to describe generic DDπ systems in the charm C = 2 sector. This includes the isospin-0 channel, in which the recently discovered doubly-charmed tetraquark Tcc(3875)+ is expected to manifest as a pole in the DDπ → DDπ scattering amplitude. The formalism presented here can also be applied to lattice QCD settings in which the D* is bound and, in particular, remains valid below the left-hand cut in DD* scattering, thus resolving an issue in previous analyses of lattice-determined finite-volume energies.

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Tcc+(3875) relevant DD⁎ scattering from N = 2 lattice QCD

Cited by 27 publications

References 55 publications

Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators

Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators

Double charm tetraquark in $DD^*$ scattering from lattice QCD

Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the Tcc(3875)+

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Tcc+(3875) relevant DD⁎ scattering from N = 2 lattice QCD

Cited by 27 publications

References 55 publications

Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators

Doubly charmed tetraquark: isospin channels and diquark-antidiquark interpolators

Double charm tetraquark in $DD^*$ scattering from lattice QCD

Incorporating DDπ effects and left-hand cuts in lattice QCD studies of the Tcc(3875)+

Contact Info

Product

Resources

About

Tcc+(3875) relevant DD⁎ scattering from N = 2 lattice QCD