Masses and magnetic moments of doubly heavy tetraquarks via diffusion Monte Carlo method

Abstract We present mass spectrum and magnetic moments of the nnQQ n ¯ n ¯ Q Q states, where n=u, d, s n = u, d, s and Q=c, b. Q = c, b. We solve four-body Schrödinger 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 T₂₂^+ T cc + state as Mₓ_₂₂^+=3892 ~ MeV M T cc + = 3892 MeV and =0. 28 N, μ = 0. 28 μ N, respectively. We also find the mass and magnetic moment of T₁₁^- T bb - as Mₓ_₁₁^-=10338 ~ MeV M T bb - = 10338 MeV and =-0. 32 N, μ = - 0. 32 μ N, respectively. We find some bound state candidates of doubly heavy tetraquark systems with I (JP) =0 (1) ^+ I (J P) = 0 (1) + nn b b, n n b ¯ b ¯, I (JP) =0 (0) ^+ I (J P) = 0 (0) + nn c b, n n c ¯ b ¯, I (JP) =0 (1) ^+ I (J P) = 0 (1) + nn c b, n n c ¯ b ¯, and I (JP) =1/2 (1) ^+ I (J P) = 1 / 2 (1) + ns b b. n s b ¯ b ¯. We compare our results with other approaches in the literature.