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 b...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-04-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-12736-3 |
| _version_ | 1797199263224037376 |
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| author | Halil Mutuk |
| author_facet | Halil Mutuk |
| author_sort | Halil Mutuk |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T07:12:58Z |
| format | Article |
| id | doaj.art-6d0cca93bd14437baff39c9d1ef590c7 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T07:12:58Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-6d0cca93bd14437baff39c9d1ef590c72024-04-21T11:28:07ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-04-0184411510.1140/epjc/s10052-024-12736-3Masses and magnetic moments of doubly heavy tetraquarks via diffusion Monte Carlo methodHalil Mutuk0Department of Physics, Faculty of Science, Ondokuz Mayis UniversityAbstract 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.https://doi.org/10.1140/epjc/s10052-024-12736-3 |
| spellingShingle | Halil Mutuk Masses and magnetic moments of doubly heavy tetraquarks via diffusion Monte Carlo method European Physical Journal C: Particles and Fields |
| title | Masses and magnetic moments of doubly heavy tetraquarks via diffusion Monte Carlo method |
| title_full | Masses and magnetic moments of doubly heavy tetraquarks via diffusion Monte Carlo method |
| title_fullStr | Masses and magnetic moments of doubly heavy tetraquarks via diffusion Monte Carlo method |
| title_full_unstemmed | Masses and magnetic moments of doubly heavy tetraquarks via diffusion Monte Carlo method |
| title_short | Masses and magnetic moments of doubly heavy tetraquarks via diffusion Monte Carlo method |
| title_sort | masses and magnetic moments of doubly heavy tetraquarks via diffusion monte carlo method |
| url | https://doi.org/10.1140/epjc/s10052-024-12736-3 |
| work_keys_str_mv | AT halilmutuk massesandmagneticmomentsofdoublyheavytetraquarksviadiffusionmontecarlomethod |