Masses and Magnetic Moments of Doubly Heavy Tetraquarks via Diffusion Monte Carlo Method

Abstract

We present mass spectrum and magnetic moments of then (n) over bar(n) over bar QQ states, where n = u, d, s and Q=c,b. We solve four-body Schrodinger equation with a quark potential model by using diffusion Monte Carlo (DMC) method. The quark potential is based on the Coulomb, confinement and spin-spin interaction terms. We find mass and magnetic moment of the T-cc(+) state as M-Tcc(+) = 3892 MeV and mu = 0.28 mu N, respectively. We also find the mass and magnetic moment of T-bb(-) as M-Tbb(-) =10338 MeV and mu= -0.32 mu(N), respectively. We find some bound state candidates of doubly heavy tetraquark systems with I(J(P)) = 0(1)(+) nn (b) over bar(b) over bar, I(J(P)) = 0(0)(+) nn (c) over bar(b) over bar, I(J(P)) = 0(1)(+) nncb, and I(J(P)) = 1/2(1)(+) nsbb(-). We compare our results with other approaches in the literature.