Study of Σc+D̅0 with D partial wave component using a separable potential model

Abstract

We study the possible hadronic molecular structure of one of the pentaquark signals observed by LHCb. Using the deuteron as an example, we model the bound state of Σ_c⁺D̅⁰ to have a D-wave component. The projection to a specific partial wave is carried out using a separable potential model. In order to produce a possible bound state in the D-partial wave, we calculated analytically the critical coupling strength such that the amplitude will produce threshold poles. From the critical coupling, one can adjust the strength and produce a D-wave bound state. The pole locations and the resulting scattering structures are also discussed.