The weak decay $$B_c$$ Bc to Z(3930) and X(4160) by Bethe–Salpeter method
Abstract Considering Z(3930) and X(4160) as $$\chi _{c2}(2P)$$ χc2(2P) and $$\chi _{c2}(3P)$$ χc2(3P) states, the semileptonic and nonleptonic of $$B_c$$ Bc decays to Z(3930) and X(4160) are studied by the improved Bethe–Salpeter (B–S) Method. The form factors of decay are calculated through the ove...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-8372-1 |
| _version_ | 1819173552599859200 |
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| author | Zhi-Hui Wang Yi Zhang Tianhong Wang Yue Jiang Guo-Li Wang |
| author_facet | Zhi-Hui Wang Yi Zhang Tianhong Wang Yue Jiang Guo-Li Wang |
| author_sort | Zhi-Hui Wang |
| collection | DOAJ |
| description | Abstract Considering Z(3930) and X(4160) as $$\chi _{c2}(2P)$$ χc2(2P) and $$\chi _{c2}(3P)$$ χc2(3P) states, the semileptonic and nonleptonic of $$B_c$$ Bc decays to Z(3930) and X(4160) are studied by the improved Bethe–Salpeter (B–S) Method. The form factors of decay are calculated through the overlap integrals of the meson wave functions in the whole accessible kinematical range. The influence of relativistic corrections are considered in the exclusive decays. Branching ratios of $$B_c$$ Bc weak decays to Z(3930) and X(4160) are predicted. Some of the branching ratios are: $$Br(B_c^+\rightarrow Z(3930)e^+\nu _e)=(3.03^{+0.09}_{-0.16})\times 10^{-4}$$ Br(Bc+→Z(3930)e+νe)=(3.03-0.16+0.09)×10-4 and $$Br(B_c^+\rightarrow X(4160)e^+\nu _e)=(3.55^{+0.83}_{-0.35})\times 10^{-6}$$ Br(Bc+→X(4160)e+νe)=(3.55-0.35+0.83)×10-6 . These results may provide useful information to discover Z(3930) and X(4160) and the necessary information for the phenomenological study of $$B_c$$ Bc physics. |
| first_indexed | 2024-12-22T20:24:54Z |
| format | Article |
| id | doaj.art-cee060a83aa541d6841bb6a6860a6226 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-22T20:24:54Z |
| publishDate | 2020-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-cee060a83aa541d6841bb6a6860a62262022-12-21T18:13:45ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-08-018081910.1140/epjc/s10052-020-8372-1The weak decay $$B_c$$ Bc to Z(3930) and X(4160) by Bethe–Salpeter methodZhi-Hui Wang0Yi Zhang1Tianhong Wang2Yue Jiang3Guo-Li Wang4Key Laboratory of Physics and Photoelectric Information Functional Materials, North Minzu UniversityKey Laboratory of Physics and Photoelectric Information Functional Materials, North Minzu UniversitySchool of Physics, Harbin Institute of TechnologySchool of Physics, Harbin Institute of TechnologyDepartment of Physics, Hebei UniversityAbstract Considering Z(3930) and X(4160) as $$\chi _{c2}(2P)$$ χc2(2P) and $$\chi _{c2}(3P)$$ χc2(3P) states, the semileptonic and nonleptonic of $$B_c$$ Bc decays to Z(3930) and X(4160) are studied by the improved Bethe–Salpeter (B–S) Method. The form factors of decay are calculated through the overlap integrals of the meson wave functions in the whole accessible kinematical range. The influence of relativistic corrections are considered in the exclusive decays. Branching ratios of $$B_c$$ Bc weak decays to Z(3930) and X(4160) are predicted. Some of the branching ratios are: $$Br(B_c^+\rightarrow Z(3930)e^+\nu _e)=(3.03^{+0.09}_{-0.16})\times 10^{-4}$$ Br(Bc+→Z(3930)e+νe)=(3.03-0.16+0.09)×10-4 and $$Br(B_c^+\rightarrow X(4160)e^+\nu _e)=(3.55^{+0.83}_{-0.35})\times 10^{-6}$$ Br(Bc+→X(4160)e+νe)=(3.55-0.35+0.83)×10-6 . These results may provide useful information to discover Z(3930) and X(4160) and the necessary information for the phenomenological study of $$B_c$$ Bc physics.http://link.springer.com/article/10.1140/epjc/s10052-020-8372-1 |
| spellingShingle | Zhi-Hui Wang Yi Zhang Tianhong Wang Yue Jiang Guo-Li Wang The weak decay $$B_c$$ Bc to Z(3930) and X(4160) by Bethe–Salpeter method European Physical Journal C: Particles and Fields |
| title | The weak decay $$B_c$$ Bc to Z(3930) and X(4160) by Bethe–Salpeter method |
| title_full | The weak decay $$B_c$$ Bc to Z(3930) and X(4160) by Bethe–Salpeter method |
| title_fullStr | The weak decay $$B_c$$ Bc to Z(3930) and X(4160) by Bethe–Salpeter method |
| title_full_unstemmed | The weak decay $$B_c$$ Bc to Z(3930) and X(4160) by Bethe–Salpeter method |
| title_short | The weak decay $$B_c$$ Bc to Z(3930) and X(4160) by Bethe–Salpeter method |
| title_sort | weak decay b c bc to z 3930 and x 4160 by bethe salpeter method |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-8372-1 |
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