A New Approach to Construct the Operator on Lattice for the Calculation of Glueball Masses

We develop a new approach to construct the operator on lattice for the calculation of glueball mass, which is based on the connection between the continuum limit of the chosen operator and the quantum number J of the state studied. The spin of the state studied in this approach is then determined uniquely and directly in numerical simulation. Furthermore, the approach can be applied to calculate the mass of glueball states (ground or excited states) with any spin J including J ≥ 4. Under the quenched approximation, we present a pre-calculation result for the mass of 0 state and 2 state, which are 1754(85)(86)MeV and 2417(56)(117)MeV , respectively.