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Pion mass dependence in $D\pi$ scattering and the $D_0^*(2300)$ resonance from lattice QCD

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arxiv 2404.13479 v2 pith:JZPJVPPD submitted 2024-04-20 hep-lat

Haobo Yan , Chuan Liu , Liuming Liu , Yu Meng , Hanyang Xing This is my paper · ORCID
classification hep-lat
keywords pionscatteringmasslatticecalculationdependencephysicalpole
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Lattice QCD results for isospin $I=\frac{1}{2}$ $D\pi$ scattering are presented. Utilizing a series of $N_{\text{f}}=2+1$ Wilson-Clover ensembles with pion masses of $m_\pi \approx 132, 208, 305$ and $317$ MeV, various two-particle operators are constructed and the corresponding finite-volume spectra are determined. The $S$ and $P$-wave scattering phase shifts are then extracted using the L\"{u}scher approach. A clear trend for the motion of the $D_0^*(2300)$ pole is identified. With the physical pion mass configurations also included, this calculation constitutes the first lattice calculation in which the pion mass dependence of the $D_0^*(2300)$ pole is investigated and the scattering lengths are extrapolated/interpolated to the physical pion mass in $D\pi$ scattering.

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Forward citations

Cited by 5 Pith papers

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

  1. Emergence of the $\pi(1300)$ Resonance from Lattice QCD

    hep-lat 2025-10 conditional novelty 8.0 of 10

    Lattice QCD plus three-body scattering formalism yields a π(1300)-like pole at (1169±46)−i(62−62+168) MeV, consistent with experiment.

  2. Lattice QCD study of $\Lambda_c \Lambda_c$ scattering

    hep-lat 2025-02 conditional novelty 7.0 of 10

    The first lattice QCD study of Lambda_c Lambda_c scattering finds a repulsive interaction with scattering length a0 = -0.21(4)(8) fm.

  3. Low-energy $DD$ scattering in lattice QCD

    hep-lat 2025-02 conditional novelty 6.0 of 10

    The first lattice QCD calculation of single-channel DD scattering finds a weakly repulsive S-wave isovector interaction and a slightly attractive P-wave isoscalar interaction.

  4. Decay constants of the two-pole $D_0^*(2300)$

    hep-ph 2026-07 conditional novelty 4.0 of 10

    Molecular two-pole D0*(2300) decay constants are 65 and 81 MeV—much smaller than compact c¯q estimates—and imply Cabibbo-favored b-hadron branching fractions of order 10^{-5}.

  5. 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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