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

Abstract

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

Unveiling the underlying structure of axial-vector bottom-charm tetraquarks in the light of their magnetic moments

“…One of the main reasons for this is that in these situations tetraquarks built from bc may be stable against the strong and electromagnetic decays. Therefore, the states with different quantum numbers composed of heavy bc diquarks have also been intensively studied [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35]. The study of the properties of T bc tetraquarks along with the doubly-bottom and doubly-charm states could result in a deeper understanding of the strong interaction dynamics over a broad regime of quark masses, spanning from charm to bottom quarks.…”