Charmonium options for the X(3872) -: art. no. 054008

In this paper we consider all possible 1D and 2P c (c) over bar assignments for the recently discovered X(3872). Taking the experimental mass as input, we give numerical results for the E1 radiative widths as well as the three principal types of strong decays; open-charm, c (c) over bar annihilation and closed-charm hadronic transitions. We find that many assignments may be immediately eliminated due to the small observed total width. The remaining viable c (c) over bar assignments are 1 D-3(3), 1 D-3(2), 1 D-1(2), 2 P-3(1) and 2 P-1(1). A search for the mode J/psipi(0)pi(0) can establish the C parity of the X(3872), which will eliminate many of these possibilities. Radiative transitions can then be used to test the remaining assignments, as they populate characteristic final states. The 1 D-3(2) and 1 D-1(2) states are predicted to have large (ca. 50%) radiative branching fractions to chi(c1)gamma and h(c)gamma, respectively. We predict that the 1 D-3(3) will also be relatively narrow and will have a significant (ca. 10%) branching fraction to chi(c2)gamma, and should also be observable in B decay. Tests for non-c (c) over bar X(3872) assignments are also discussed.