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.
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]
Copyright of European Physical Journal C -- Particles & Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Analysis of the strong vertices ΛcD(∗)N∗(1535) and ΛbB(∗)N∗(1535) in QCD sum rules.
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  Data: &lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Lu%2C+Jie%22&quot;&gt;Lu, Jie&lt;/searchLink&gt;&lt;relatesTo&gt;1,2&lt;/relatesTo&gt; (AUTHOR)&lt;i&gt; l17693567997@163.com&lt;/i&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Chen%2C+Dian-Yong%22&quot;&gt;Chen, Dian-Yong&lt;/searchLink&gt;&lt;relatesTo&gt;1,3&lt;/relatesTo&gt; (AUTHOR)&lt;i&gt; chendy@seu.edu.cn&lt;/i&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Yu%2C+Guo-Liang%22&quot;&gt;Yu, Guo-Liang&lt;/searchLink&gt;&lt;relatesTo&gt;2&lt;/relatesTo&gt; (AUTHOR)&lt;i&gt; yuguoliang2011@163.com&lt;/i&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Wang%2C+Zhi-Gang%22&quot;&gt;Wang, Zhi-Gang&lt;/searchLink&gt;&lt;relatesTo&gt;2&lt;/relatesTo&gt; (AUTHOR)&lt;i&gt; zgwang@aliyun.com&lt;/i&gt;&lt;br /&gt;&lt;searchLink fieldCode=&quot;AR&quot; term=&quot;%22Zhou%2C+Ze%22&quot;&gt;Zhou, Ze&lt;/searchLink&gt;&lt;relatesTo&gt;2&lt;/relatesTo&gt; (AUTHOR)
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– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: 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 &#175; q ⟩ , ⟨ g s 2 G G ⟩ , ⟨ q &#175; g s σ G q ⟩ , ⟨ q &#175; q ⟩ 2 and g s 2 ⟨ q &#175; 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 &lt; 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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  Data: &lt;i&gt;Copyright of European Physical Journal C -- Particles &amp; Fields is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder&#39;s express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.&lt;/i&gt; (Copyright applies to all Abstracts.)
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        Value: 10.1140/epjc/s10052-025-14754-1
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        Text: English
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        Type: general
      – SubjectFull: Nucleon-nucleon interactions
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      – SubjectFull: Baryon number
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      – SubjectFull: Mathematical models
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      – TitleFull: Analysis of the strong vertices ΛcD(∗)N∗(1535) and ΛbB(∗)N∗(1535) in QCD sum rules.
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            NameFull: Lu, Jie
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              M: 09
              Text: Sep2025
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