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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.
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.
The magnetic moment yields an excellent framework to explore the inner structure of particles determined by the quark-gluon dynamics of QCD, as it is the leading-order response of a bound system to a weak external magnetic field. Motivated by this, in this study, the magnetic moments of possible axial-vector $$ {T}_{bc\overline{u}\overline{u}} $$ T bc u ¯ u ¯ , $$ {T}_{bc\overline{d}\overline{d}} $$ T bc d ¯ d ¯ , and $$ {T}_{bc\overline{u}\overline{d}} $$ T bc u ¯ d ¯ tetraquarks are obtained with the help of light-cone QCD sum rules. For this purpose, we assume that these states are represented as a diquark-antidiquark picture with different structures and interpolating currents. The magnetic moment results derived using different diquark-antidiquark configurations differ substantially from each other. This can be translated into more than one tetraquark state with the same quantum number and quark content yet possessing different magnetic moments. From the numerical results obtained, we have concluded that the magnetic moments of the Tbc states can project their inner structure, which can be used for their quantum numbers and quark-gluon organization. The contribution of individual quarks to the magnetic moments is also analyzed for completeness. We hope that our predictions of the magnetic moments of the Tbc tetraquarks, together with the results of other theoretical investigations of the spectroscopic parameters and decay widths of these interesting tetraquarks, may be valuable in the search for these states in future experiments and in unraveling the internal structure of these tetraquarks.
The magnetic moment yields an excellent framework to explore the inner structure of particles determined by the quark-gluon dynamics of QCD, as it is the leading-order response of a bound system to a weak external magnetic field. Motivated by this, in this study, the magnetic moments of possible axial-vector T bcūū , T bc d d, and T bcū d tetraquarks are obtained with the help of light-cone QCD sum rules. For this purpose, we assume that these states are represented as a diquark-antidiquark picture with different structures and interpolating currents. The magnetic moment results derived using different diquark-antidiquark configurations differ substantially from each other. This can be translated into more than one tetraquark state with the same quantum number and quark content yet possessing different magnetic moments. From the numerical results obtained, we have concluded that the magnetic moments of the T bc states can project their inner structure, which can be used for their quantum numbers and quark-gluon organization. The contribution of individual quarks to the magnetic moments is also analyzed for completeness. We hope that our predictions of the magnetic moments of the T bc tetraquarks, together with the results of other theoretical investigations of the spectroscopic parameters and decay widths of these interesting tetraquarks, may be valuable in the search for these states in future experiments and in unraveling the internal structure of these tetraquarks.
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