Isospin-1/2 Dπ scattering and the lightest $$ {D}_0^{\ast } $$ resonance from lattice QCD

Abstract

Isospin-1/2 Dπ scattering amplitudes are computed using lattice QCD, working in a single volume of approximately (3.6 fm)3 and with a light quark mass corresponding to mπ ≈ 239 MeV. The spectrum of the elastic Dπ energy region is computed yielding 20 energy levels. Using the Lüscher finite-volume quantisation condition, these energies are translated into constraints on the infinite-volume scattering amplitudes and hence enable us to map out the energy dependence of elastic Dπ scattering. By analytically continuing a range of scattering amplitudes, a $$ {D}_0^{\ast } $$ D 0 ∗ resonance pole is consistently found strongly coupled to the S-wave Dπ channel, with a mass m ≈ 2200 MeV and a width Γ ≈ 400 MeV. Combined with earlier work investigating the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , and $$ {D}_0^{\ast } $$ D 0 ∗ with heavier light quarks, similar couplings between each of these scalar states and their relevant meson-meson scattering channels are determined. The mass of the $$ {D}_0^{\ast } $$ D 0 ∗ is consistently found well below that of the $$ {D}_{s0}^{\ast } $$ D s 0 ∗ , in contrast to the currently reported experimental result.

From lattice QCD to predictions of scattering phase shifts at the physical point

“…Based on the LEC obtained, we calculated phase shifts for the m π 220 MeV ensemble and the physical case. The pion mass in physical units on that second ensemble is distinct from the one given in [18,19]. This is so since we used a mass-independent scale setting in [1] The black-solid line is our result for the phase shift in the physical case.…”

“…1 as a red band. The width of the band indicates the error size given in [19]. We translate the lattice result into physical unit, by matching the energy interval between the Dπ threshold √ s thr and the Dππ threshold.…”

“…To this end, we calculated different D-meson scattering phase shifts not only for physical light-quark masses, but also for unphysical quark masses with m π 220 MeV and 380 MeV as implied by two HSC ensembles. Recently, HSC has unleashed a series of works presenting various open-charm meson scattering phase shifts on those two ensembles [18,19].…”

Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review

“…In the past years, phenomenology models on the hadron spectroscopy evolved quickly and some patterns have been revealed, for example, dynamics close to two-hadron mass thresholds [616]. Besides, lattice QCD simulations have improved in computational performances and application scopes substantially over the years and will play more and more important roles in our understanding of low-energy QCD [617][618][619][620][621][622][623]. Hopefully, one day we can predict low energy QCD phenomena as precise as other parts of the SM.…”

A fully non-perturbative charm-quark tuning using machine learning

“…In heavy-hadron spectroscopy studies pursued by the Hadron Spectrum Collaboration, anisotropic lattices are used to study multi-hadron scattering with heavy hadrons [23][24][25][26][27].…”