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

Abstract

We present mass spectrum and magnetic moments of the $\bar{n}\bar{n}QQ$ states, where $n=u,d,s$ and $Q=c,b$. 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 $T_{cc}^{+}$ state as $M_{T_{cc}^{+}}=3892\text{MeV}$ and $\mu =0.28{\mu }_N$, respectively. We also find the mass and magnetic moment of $T_{bb}^{-}$ as $M_{T_{bb}^{-}}=10338\text{MeV}$ and $\mu =-0.32{\mu }_N$, respectively. We find some bound state candidates of doubly heavy tetraquark systems with $I(J^P)=0(1{)}^{+}$ $nn\bar{b}\bar{b}$, $I(J^P)=0(0{)}^{+}$ $nn\bar{c}\bar{b}$, $I(J^P)=0(1{)}^{+}$ $nn\bar{c}\bar{b}$, and $I(J^P)=1/2(1{)}^{+}$ $ns\bar{b}\bar{b}$. We compare our results with other approaches in the literature.

Comments: 16 pages, 7 figures, 8 tables