2025/06/29 by Lu, Jie, Chen, Dian-Yong, Yu, Guo-Liang +2
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2506.23095
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 ΛcDN^*, ΛcD^*N^*, ΛbBN^* and ΛbB^*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 ⟨qq⟩, ⟨ gs2GG⟩, ⟨q gsσGq⟩, ⟨qq⟩2 and gs2⟨qq⟩2 are also considered. By setting the four momentum of D(*)[B(*)] mesons off-shell, the strong coupling constants in deep space-like regions (Q2=-q2≫ΛQCD2) are obtained. Then, the momentum dependent coupling constants in space-like regions are fitted into analytical function G(Q2) and are extrapolated into time-like regions (Q2<0). Finally, the on-shell values of strong coupling constants are obtained by taking Q2=-mD(*)[B(*)]2. The results are GΛcDN^*(Q2=-mD2)=4.06+0.96-0.75, fΛcD^*N^*(Q2=-mD^*2)=3.73+0.68-0.16, gΛcD^*N^*(Q2=-mD^*2)=9.22+3.16-0.36, GΛbBN^*(Q2=-mB2)=9.11+1.54-1.61, fΛbB^*N^*(Q2=-mB^*2)=8.55+2.69-2.21 and gΛbB^*N^*(Q2=-mB^*2)=-0.25+0.16-0.01.