Binding of the BD(D)over-bar and BDD systems

Author(s)

Dias, J. M. ; Debastiani, V. R. ; Roca, L. ; Sakai, S. ; Oset, E.

• Document type: Journal article
• Source: PHYSICAL REVIEW D; v. 96, n. 9, p. 6-pg., 2017-11-13.

Abstract

We study theoretically the BD (D) over bar and BDD systems to see if they allow for possible bound or resonant states. The three-body interaction is evaluated implementing the fixed center approximation to the Faddeev equations which considers the interaction of a D or (D) over bar particle with the components of a BD cluster, previously proved to form a bound state. We find an I(J(P)) = 1/2(0(-)) bound state for the BD (D) over bar system at an energy around 8925-8985 MeV within uncertainties, which would correspond to a bottom hidden-charm meson. In contrast, for the BDD system, which would be bottom double-charm and hence manifestly exotic, we have found hints of a bound state in the energy region 8935-8985 MeV, but the results are not stable under the uncertainties of the model, and we cannot assure, nor rule out, the possibility of a BDD three-body state. (AU)

• FAPESP's process: 16/22561-2 - Study of the XYZ systems through three-body interactions using Faddeev equations
• Grantee: Jorgivan Morais Dias
• Support Opportunities: Scholarships abroad - Research Internship - Post-doctor