Tetraquark interpolating fields in a lattice QCD investigation of the $D_{s0}^{\ast }(2317)$ meson

Abstract

We investigate the $D_{s0}^{\ast }(2317)$ meson using lattice QCD and considering correlation functions of several $\bar{c}s$ two-quark and $\bar{c}s(\bar{u}u+\bar{d}d)$ four-quark interpolating fields. These interpolating fields generate different structures in color, spin and position space including quark-antiquark pairs, tetraquarks and two-meson scattering states. For our computation we use an ensemble simulated with pion mass $m_{\pi }\approx 0.296\text{GeV}$ and spatial volume of extent $2.90\text{fm}$. We find in addition to the expected spectrum of two-meson scattering states another state around $60\text{MeV}$ below the $DK$ threshold, which we interpret as the $D_{s0}^{\ast }(2317)$ meson. This state couples predominantly to a quark-antiquark interpolating field and only weakly to a $DK$ two-meson interpolating field. The coupling to the tetraquark interpolating fields is essentially zero, rendering a tetraquark interpretation of the $D_{s0}^{\ast }(2317)$ meson rather unlikely. Moreover, we perform a scattering analysis using Lüscher's method and the effective range approximation to determine the $D_{s0}^{\ast }(2317)$ mass for infinite spatial volume. We find this mass $51\text{MeV}$ below the $DK$ threshold, rather close to both our finite volume result and the experimentally observed value.

13 pages, 6 figures; version accepted for publication in PRD

References in corpus (13)

• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• $D_s$ mesons with $DK$ and $D^{\ast }K$ scattering near threshold
• Adaptive multigrid algorithm for the lattice Wilson-Dirac operator
• Coupled-Channel $D\pi$, $D\eta$ and $D_s\bar{K}$ Scattering from Lattice QCD
• New Hadron States
• Lattice QCD investigation of a doubly-bottom $\bar{b}\bar{b}ud$ tetraquark with quantum numbers $I(J^P)=0(1^{+})$
• Excited and exotic charmonium, $D_s$ and $D$ meson spectra for two light quark masses from lattice QCD
• Masses and decay constants of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ from $N_f=2$ lattice QCD close to the physical point
• Tetraquark operators in lattice QCD and exotic flavour states in the charm sector
• A novel analysis method for excited states in lattice QCD - the nucleon case
• The static-light meson spectrum from twisted mass lattice QCD
• Masses of tetraquarks with open charm and bottom
• Lattice QCD with $N_f=2+1+1$ domain-wall quarks

Cited by in corpus (1)

• Study of the $DK$ interaction with femtoscopic correlation functions