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| Natura: | Preprint |
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2025
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| Accesso online: | https://arxiv.org/abs/2506.23095 |
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| _version_ | 1866915512333631488 |
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| author | Lu, Jie Chen, Dian-Yong Yu, Guo-Liang Wang, Zhi-Gang Zhou, Ze |
| author_facet | Lu, Jie Chen, Dian-Yong Yu, Guo-Liang Wang, Zhi-Gang Zhou, Ze |
| contents | 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 $Λ_cDN^*$, $Λ_cD^*N^*$, $Λ_bBN^*$ and $Λ_bB^*N^*$ 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 $\langle\bar{q}q\rangle$, $\langle g_s^2GG\rangle$, $\langle\bar{q} g_sσGq\rangle$, $\langle\bar{q}q\rangle^2$ and $g_s^2\langle\bar{q}q\rangle^2$ are also considered. By setting the four momentum of $D^{(*)}[B^{(*)}]$ mesons off-shell, the strong coupling constants in deep space-like regions ($Q^2=-q^2\ggΛ_{QCD}^2$) 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 $G_{Λ_cDN^*}(Q^2=-m_D^2)=4.06^{+0.96}_{-0.75}$, $f_{Λ_cD^*N^*}(Q^2=-m_{D^*}^2)=3.73^{+0.68}_{-0.16}$, $g_{Λ_cD^*N^*}(Q^2=-m_{D^*}^2)=9.22^{+3.16}_{-0.36}$, $G_{Λ_bBN^*}(Q^2=-m_B^2)=9.11^{+1.54}_{-1.61}$, $f_{Λ_bB^*N^*}(Q^2=-m_{B^*}^2)=8.55^{+2.69}_{-2.21}$ and $g_{Λ_bB^*N^*}(Q^2=-m_{B^*}^2)=-0.25^{+0.16}_{-0.01}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23095 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Analysis of the strong vertices $Λ_cD^{(*)}N^*(1535)$ and $Λ_bB^{(*)}N^*(1535)$ in QCD sum rules Lu, Jie Chen, Dian-Yong Yu, Guo-Liang Wang, Zhi-Gang Zhou, Ze High Energy Physics - Phenomenology 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 $Λ_cDN^*$, $Λ_cD^*N^*$, $Λ_bBN^*$ and $Λ_bB^*N^*$ 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 $\langle\bar{q}q\rangle$, $\langle g_s^2GG\rangle$, $\langle\bar{q} g_sσGq\rangle$, $\langle\bar{q}q\rangle^2$ and $g_s^2\langle\bar{q}q\rangle^2$ are also considered. By setting the four momentum of $D^{(*)}[B^{(*)}]$ mesons off-shell, the strong coupling constants in deep space-like regions ($Q^2=-q^2\ggΛ_{QCD}^2$) 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 $G_{Λ_cDN^*}(Q^2=-m_D^2)=4.06^{+0.96}_{-0.75}$, $f_{Λ_cD^*N^*}(Q^2=-m_{D^*}^2)=3.73^{+0.68}_{-0.16}$, $g_{Λ_cD^*N^*}(Q^2=-m_{D^*}^2)=9.22^{+3.16}_{-0.36}$, $G_{Λ_bBN^*}(Q^2=-m_B^2)=9.11^{+1.54}_{-1.61}$, $f_{Λ_bB^*N^*}(Q^2=-m_{B^*}^2)=8.55^{+2.69}_{-2.21}$ and $g_{Λ_bB^*N^*}(Q^2=-m_{B^*}^2)=-0.25^{+0.16}_{-0.01}$. |
| title | Analysis of the strong vertices $Λ_cD^{(*)}N^*(1535)$ and $Λ_bB^{(*)}N^*(1535)$ in QCD sum rules |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2506.23095 |