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$T_{cc}^+$ via the plane wave approach and including diquark-antidiquark operators

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arxiv 2411.08646 v1 pith:VLUTPASB submitted 2024-11-13 hep-lat

classification hep-lat
keywords diquark-antidiquarkoperatorsquarkscatteringwaveachieveadditionaddress
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The determination of the $DD^{*}$ scattering amplitude from lattice QCD is complicated by long-range interactions. In particular, the L\"uscher method is no longer applicable in the kinematical region close to the left-hand cut. We tackle this problem by adopting plane-wave and effective-field-theoretic methods, which also address partial wave mixing. In addition, we incorporate a diquark-antidiquark interpolator in the operator basis (along with the relevant scattering operators) in order to achieve a better resolution of the energy spectrum. Results show that inclusion of it already has some impact at physical charm quark mass, although it is more significant for larger heavy quark masses, in line with expectations.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Distillation and position-space sampling for local multiquark interpolators

    hep-lat 2024-12 conditional novelty 7.0 of 10

    Randomly displaced sparse grids inside distillation produce an unbiased estimator that makes local tetraquark operators affordable, with sampling noise already negligible at every-eighth-point spacing.

  2. Universal parameters of the $\Lambda(1380)$, the $\Lambda(1405)$ and their isospin partners from a combined analysis of Lattice QCD and experimental results

    hep-ph 2025-07 conditional novelty 6.0 of 10

    A combined global fit of lattice QCD spectra and experimental Kbar N data within chiral unitary approaches gives pole positions for the Lambda(1380) and Lambda(1405) at physical and lattice quark masses, with systemat...

  3. From scattering towards multi-hadron weak decays

    hep-lat 2025-01 unverdicted novelty 1.0 of 10

    A review of current lattice QCD scattering calculations shows that finite-volume formalisms now enable multi-hadron weak decay studies with direct relevance to flavour physics.

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