Predicted $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 and further predictions
Abstract The methods of QCD sum rules and light-cone sum rules within the framework of heavy quark effective theory have been widely applied to study the singly heavy baryons, and especially, we have applied these methods to predict not only the mass and width of the $$\varXi _b(6087)^0$$ Ξ b ( 6087...
| Main Authors: | , , |
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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/s10052-024-12717-6 |
| _version_ | 1797209124627283968 |
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| author | Wei-Han Tan Hui-Min Yang Hua-Xing Chen |
| author_facet | Wei-Han Tan Hui-Min Yang Hua-Xing Chen |
| author_sort | Wei-Han Tan |
| collection | DOAJ |
| description | Abstract The methods of QCD sum rules and light-cone sum rules within the framework of heavy quark effective theory have been widely applied to study the singly heavy baryons, and especially, we have applied these methods to predict not only the mass and width of the $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 recently discovered by LHCb, but also its observation channel and its mass difference from the $$\varXi _b(6100)^-$$ Ξ b ( 6100 ) - . We apply the same approach to perform a complete study on the P-wave bottom baryons of the SU(3) flavor $${\bar{\textbf{3}}}_F$$ 3 ¯ F and investigate their fine structure. Besides the $$\varLambda _b(5912)^0$$ Λ b ( 5912 ) 0 , $$\varLambda _b(5920)^0$$ Λ b ( 5920 ) 0 , $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 , and $$\varXi _b(6100)^-$$ Ξ b ( 6100 ) - , our results suggest the existence of the other two $$\varLambda _b$$ Λ b and two $$\varXi _b$$ Ξ b baryons, whose widths are limited. They are the $$\varLambda _b(J^P = 3/2^-)$$ Λ b ( J P = 3 / 2 - ) with the mass and width about $$(5.93^{+0.13}_{-0.13}~\textrm{GeV},\,0.0^{+12.0}_{-~0.0}~\textrm{MeV})$$ ( 5 . 93 - 0.13 + 0.13 GeV , 0 . 0 - 0.0 + 12.0 MeV ) , the $$\varLambda _b(5/2^-)$$ Λ b ( 5 / 2 - ) with $$(5.94^{+0.13}_{-0.13}~\textrm{GeV},\,\approx 0~\textrm{MeV})$$ ( 5 . 94 - 0.13 + 0.13 GeV , ≈ 0 MeV ) , the $$\varXi _b(3/2^-)$$ Ξ b ( 3 / 2 - ) with $$(6.10^{+0.15}_{-0.10}~\textrm{GeV},\, 1.4{^{+11.6}_{-~1.4}}~\textrm{MeV})$$ ( 6 . 10 - 0.10 + 0.15 GeV , 1.4 - 1.4 + 11.6 MeV ) , and the $$\varXi _b(5/2^-)$$ Ξ b ( 5 / 2 - ) with $$(6.11^{+0.15}_{-0.10}~\textrm{GeV},\,1.0{^{+7.4}_{-1.0}}~\textrm{MeV})$$ ( 6 . 11 - 0.10 + 0.15 GeV , 1.0 - 1.0 + 7.4 MeV ) . Their mass splittings are calculated to be $$M_{\varLambda _b(5/2^-)} - M_{\varLambda _b(3/2^-)} = 17\pm 7~\textrm{MeV}$$ M Λ b ( 5 / 2 - ) - M Λ b ( 3 / 2 - ) = 17 ± 7 MeV and $$M_{\varXi _b(5/2^-)} - M_{\varXi _b(3/2^-)} = 14\pm 7~\textrm{MeV}$$ M Ξ b ( 5 / 2 - ) - M Ξ b ( 3 / 2 - ) = 14 ± 7 MeV . All these baryons are explained as the P-wave bottom baryons of the $$\rho $$ ρ -mode, where the orbital excitation is between the two light quarks. However, the existence of this mode is still controversial, so their experimental searches can verify both our approach and the existence of the $$\rho $$ ρ -mode, which can significantly improve our understanding on the internal structure of hadrons. |
| first_indexed | 2024-04-24T09:49:43Z |
| format | Article |
| id | doaj.art-369896caae5a4273955ae8112d9ce2eb |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T09:49:43Z |
| publishDate | 2024-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-369896caae5a4273955ae8112d9ce2eb2024-04-14T11:26:03ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-04-018441610.1140/epjc/s10052-024-12717-6Predicted $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 and further predictionsWei-Han Tan0Hui-Min Yang1Hua-Xing Chen2School of Physics, Southeast UniversitySchool of Physics and Center of High Energy Physics, Peking UniversitySchool of Physics, Southeast UniversityAbstract The methods of QCD sum rules and light-cone sum rules within the framework of heavy quark effective theory have been widely applied to study the singly heavy baryons, and especially, we have applied these methods to predict not only the mass and width of the $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 recently discovered by LHCb, but also its observation channel and its mass difference from the $$\varXi _b(6100)^-$$ Ξ b ( 6100 ) - . We apply the same approach to perform a complete study on the P-wave bottom baryons of the SU(3) flavor $${\bar{\textbf{3}}}_F$$ 3 ¯ F and investigate their fine structure. Besides the $$\varLambda _b(5912)^0$$ Λ b ( 5912 ) 0 , $$\varLambda _b(5920)^0$$ Λ b ( 5920 ) 0 , $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 , and $$\varXi _b(6100)^-$$ Ξ b ( 6100 ) - , our results suggest the existence of the other two $$\varLambda _b$$ Λ b and two $$\varXi _b$$ Ξ b baryons, whose widths are limited. They are the $$\varLambda _b(J^P = 3/2^-)$$ Λ b ( J P = 3 / 2 - ) with the mass and width about $$(5.93^{+0.13}_{-0.13}~\textrm{GeV},\,0.0^{+12.0}_{-~0.0}~\textrm{MeV})$$ ( 5 . 93 - 0.13 + 0.13 GeV , 0 . 0 - 0.0 + 12.0 MeV ) , the $$\varLambda _b(5/2^-)$$ Λ b ( 5 / 2 - ) with $$(5.94^{+0.13}_{-0.13}~\textrm{GeV},\,\approx 0~\textrm{MeV})$$ ( 5 . 94 - 0.13 + 0.13 GeV , ≈ 0 MeV ) , the $$\varXi _b(3/2^-)$$ Ξ b ( 3 / 2 - ) with $$(6.10^{+0.15}_{-0.10}~\textrm{GeV},\, 1.4{^{+11.6}_{-~1.4}}~\textrm{MeV})$$ ( 6 . 10 - 0.10 + 0.15 GeV , 1.4 - 1.4 + 11.6 MeV ) , and the $$\varXi _b(5/2^-)$$ Ξ b ( 5 / 2 - ) with $$(6.11^{+0.15}_{-0.10}~\textrm{GeV},\,1.0{^{+7.4}_{-1.0}}~\textrm{MeV})$$ ( 6 . 11 - 0.10 + 0.15 GeV , 1.0 - 1.0 + 7.4 MeV ) . Their mass splittings are calculated to be $$M_{\varLambda _b(5/2^-)} - M_{\varLambda _b(3/2^-)} = 17\pm 7~\textrm{MeV}$$ M Λ b ( 5 / 2 - ) - M Λ b ( 3 / 2 - ) = 17 ± 7 MeV and $$M_{\varXi _b(5/2^-)} - M_{\varXi _b(3/2^-)} = 14\pm 7~\textrm{MeV}$$ M Ξ b ( 5 / 2 - ) - M Ξ b ( 3 / 2 - ) = 14 ± 7 MeV . All these baryons are explained as the P-wave bottom baryons of the $$\rho $$ ρ -mode, where the orbital excitation is between the two light quarks. However, the existence of this mode is still controversial, so their experimental searches can verify both our approach and the existence of the $$\rho $$ ρ -mode, which can significantly improve our understanding on the internal structure of hadrons.https://doi.org/10.1140/epjc/s10052-024-12717-6 |
| spellingShingle | Wei-Han Tan Hui-Min Yang Hua-Xing Chen Predicted $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 and further predictions European Physical Journal C: Particles and Fields |
| title | Predicted $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 and further predictions |
| title_full | Predicted $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 and further predictions |
| title_fullStr | Predicted $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 and further predictions |
| title_full_unstemmed | Predicted $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 and further predictions |
| title_short | Predicted $$\varXi _b(6087)^0$$ Ξ b ( 6087 ) 0 and further predictions |
| title_sort | predicted varxi b 6087 0 ξ b 6087 0 and further predictions |
| url | https://doi.org/10.1140/epjc/s10052-024-12717-6 |
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