Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; CCAST, World Lab, Beijing 100080, Peoples R China
; Chinese Acad Sci, Inst Theoret Phys, Beijing 100864, Peoples R China
; Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China
; Grad Univ, Chinese Acad Sci, Beijing 100049, Peoples R China
Recently, the BES Collaboration observed a broad resonant structure X(1576) with a large width being around 800 MeV and assigned its J(PC) number to 1(--). We show that the isospin of this resonant structure should be assigned to 1. This state might be a molecule state or a tetraquark state. We study the consequences of a possible K-*(892)-(kappa) over bar molecular interpretation. In this scenario, the broad width can easily be understood. Carefully searching this resonant structure in the J/psi ->pi(+)pi(-)pi(0) and J/psi -> K+K-pi(+)pi(-)pi(0) decays should be important for understanding the structure of X(1567).