Analysis of the strong vertices ΛcD(∗)N∗(1535) and ΛbB(∗)N∗(1535) in QCD sum rules.
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| Title: | Analysis of the strong vertices ΛcD(∗)N∗(1535) and ΛbB(∗)N∗(1535) in QCD sum rules. |
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| Authors: | Lu, Jie1,2 (AUTHOR) l17693567997@163.com, Chen, Dian-Yong1,3 (AUTHOR) chendy@seu.edu.cn, Yu, Guo-Liang2 (AUTHOR) yuguoliang2011@163.com, Wang, Zhi-Gang2 (AUTHOR) zgwang@aliyun.com, Zhou, Ze2 (AUTHOR) |
| Source: | European Physical Journal C -- Particles & Fields. Sep2025, Vol. 85 Issue 9, p1-15. 15p. |
| Subjects: | Coupling constants, Nucleon-nucleon interactions, Baryon number, Mathematical models |
| Abstract: | In this article, we firstly analyze the mass and pole residue of negative parity nucleon N ∗ (1535) within the two-point QCD sum rules. Basing on these results, we continuously study the strong coupling constants of vertices Λ c D N ∗ , Λ c D ∗ N ∗ , Λ b B N ∗ and Λ b B ∗ N ∗ in the framework of three-point QCD sum rules. At hadron side, all possible couplings of interpolating current to hadronic states are considered. At QCD side, the contributions of vacuum condensate terms ⟨ q ¯ q ⟩ , ⟨ g s 2 G G ⟩ , ⟨ q ¯ g s σ G q ⟩ , ⟨ q ¯ q ⟩ 2 and g s 2 ⟨ q ¯ q ⟩ 2 are also considered. By setting the four momentum of D (∗) [ B (∗) ] mesons off-shell, the strong coupling constants in deep space-like regions ( Q 2 = - q 2 ≫ Λ QCD 2 ) are obtained. Then, the momentum dependent coupling constants in space-like regions are fitted into analytical function G (Q 2) and are extrapolated into time-like regions ( Q 2 < 0 ). Finally, the on-shell values of strong coupling constants are obtained by taking Q 2 = - m D (∗) [ B (∗) ] 2 . The results are G Λ c D N ∗ (Q 2 = - m D 2) = 4. 06 - 0.75 + 0.96 , f Λ c D ∗ N ∗ (Q 2 = - m D ∗ 2) = 3. 73 - 0.16 + 0.68 , g Λ c D ∗ N ∗ (Q 2 = - m D ∗ 2) = 9. 22 - 0.36 + 3.16 , G Λ b B N ∗ (Q 2 = - m B 2) = 9. 11 - 1.61 + 1.54 , f Λ b B ∗ N ∗ (Q 2 = - m B ∗ 2) = 8. 55 - 2.21 + 2.69 and g Λ b B ∗ N ∗ (Q 2 = - m B ∗ 2) = - 0. 25 - 0.01 + 0.16 . [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | In this article, we firstly analyze the mass and pole residue of negative parity nucleon N ∗ (1535) within the two-point QCD sum rules. Basing on these results, we continuously study the strong coupling constants of vertices Λ c D N ∗ , Λ c D ∗ N ∗ , Λ b B N ∗ and Λ b B ∗ N ∗ in the framework of three-point QCD sum rules. At hadron side, all possible couplings of interpolating current to hadronic states are considered. At QCD side, the contributions of vacuum condensate terms ⟨ q ¯ q ⟩ , ⟨ g s 2 G G ⟩ , ⟨ q ¯ g s σ G q ⟩ , ⟨ q ¯ q ⟩ 2 and g s 2 ⟨ q ¯ q ⟩ 2 are also considered. By setting the four momentum of D (∗) [ B (∗) ] mesons off-shell, the strong coupling constants in deep space-like regions ( Q 2 = - q 2 ≫ Λ QCD 2 ) are obtained. Then, the momentum dependent coupling constants in space-like regions are fitted into analytical function G (Q 2) and are extrapolated into time-like regions ( Q 2 < 0 ). Finally, the on-shell values of strong coupling constants are obtained by taking Q 2 = - m D (∗) [ B (∗) ] 2 . The results are G Λ c D N ∗ (Q 2 = - m D 2) = 4. 06 - 0.75 + 0.96 , f Λ c D ∗ N ∗ (Q 2 = - m D ∗ 2) = 3. 73 - 0.16 + 0.68 , g Λ c D ∗ N ∗ (Q 2 = - m D ∗ 2) = 9. 22 - 0.36 + 3.16 , G Λ b B N ∗ (Q 2 = - m B 2) = 9. 11 - 1.61 + 1.54 , f Λ b B ∗ N ∗ (Q 2 = - m B ∗ 2) = 8. 55 - 2.21 + 2.69 and g Λ b B ∗ N ∗ (Q 2 = - m B ∗ 2) = - 0. 25 - 0.01 + 0.16 . [ABSTRACT FROM AUTHOR] |
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| ISSN: | 14346044 |
| DOI: | 10.1140/epjc/s10052-025-14754-1 |
