Faddeev fixed-center approximation to the rho D(D)over-bar system


Durkaya B., BAYAR M.

PHYSICAL REVIEW D, vol.92, no.3, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 92 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.1103/physrevd.92.036006
  • Title of Journal : PHYSICAL REVIEW D

Abstract

We investigate the rho D (D) over bar three body system using the fixed-center approximation to the Faddeev equations. The study is made assuming scattering of a rho on a D (D) over bar cluster, which is known to generate the X (3700) or a (D) over bar on a rho D cluster, which has been shown to generate the D-1(2420). In the case of the rho - X (3700) scattering we find a state with mass around 4320 MeV and width about 25 MeV for the total three body with isospin-1. Considering the (D) over bar - D-1 (2420) scattering we obtain a state with mass around 4256 MeV and width similar to that of the rho - X (3700) state for the I = 1 case. For the case of I = 0 we find a state with mass around 4241 MeV and width about 20 MeV. In all cases we find bound states, and for I = 1 the states could be associated with the X (4260) and X (4360) mesons.