Understanding the Charged Meson Z(4430)

Abstract

The difference between Z(4430) as a $D^{\ast }{D}_1$ molecule and a tetraquark state and how to distinguish between them are discussed. We construct an effective Lagrangian with $D^{\ast }{D}_1$ contact interactions constrained by the heavy quark symmetry and chiral symmetry to study Z(4430). We find that if Z(4430) is a $D^{\ast }{D}_1$ molecule state, there should be a $B^{\ast }{B}_1$ bound state as well, and it mass is about 11048.6 MeV.

10 pages, 1 figure