Low-energy $D^{*+}D^0_1$ scattering and the resonance-like structure $Z^+(4430)$

Abstract

Low-energy scattering of D * andD 1 meson are studied using quenched lattice QCD with improved lattice actions on anisotropic lattices. The calculation is performed within Lüscher's finitesize formalism which establishes the relation between the scattering phase in the infinite volume and the exact energy level in the finite volume. We obtain the scattering length a 0 = 2.52(47)fm and the effective range r 0 = 0.7(1)fm in J P = 0 − channel. Based on these results, it is argued that, albeit the interaction between the two charmed mesons being attractive, it is unlikely that they can form a shallow bound state in this channel. This calculation provides some useful information on the nature of the newly discovered resonance-like structure Z + (4430) by the Belle Collaboration. The XXVII International Symposium on Lattice Field Theory

The hidden-charm pentaquark and tetraquark states

“…[508,509]. The authors concluded that the interaction of D * andD 1 is attractive in the J P = 0 − channel but not strong enough to form a bound state [508,509].…”

“…The authors concluded that the interaction of D * andD 1 is attractive in the J P = 0 − channel but not strong enough to form a bound state [508,509]. Both the phenomenological models [202,203,235,233] and the quenched lattice QCD calculations [508,509] indicated that the S-wave D 1D * interaction is attractive. The authors of Ref.…”