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  • Letter
  • Open Access

Solving the left-hand cut problem in lattice QCD: Tcc(3875)+ from finite volume energy levels

Lu Meng, Vadim Baru, Evgeny Epelbaum, Arseniy A. Filin, and Ashot M. Gasparyan

  • Institut für Theoretische Physik II, Ruhr-Universität Bochum, D-44780 Bochum, Germany

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Phys. Rev. D 109, L071506 – Published 30 April, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L071506

Abstract

We discuss a novel effective-field-theory-based approach for extracting two-body scattering information from finite volume energies, serving as an alternative to Lüscher’s method. By explicitly incorporating one-pion exchange, we overcome the challenging left-hand cut problem in Lüscher’s method and can handle finite volume energy levels both below and above the left-hand cut. Applied to the lattice data for DD* scattering at a pion mass of 280 MeV, as an illustrative example, our results reveal the significant impact of the one-pion exchange on P-wave and S-wave phase shifts. The pole position of the Tcc(3875)+ state, extracted from the finite-volume energy levels at this pion mass while taking into account left-hand cut effects, range corrections and partial-wave mixing, is consistent with a near-threshold resonance. This study demonstrates, for the first time, that two-body scattering information can be reliably extracted from lattice spectra including the left-hand cut.

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Information

Phys. Rev. D 109, L071506– Published 30 April, 2024
  • Received 11 December 2023
  • Accepted 3 April 2024
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