Baryons in the light-front approach: The three-quark picture

Zhao, Zhen-Xing; Zhang, Fu-Wei; Hu, Xiao-Hui; Shi, Yu-Ji

doi:10.1103/physrevd.107.116025

Cited by 6 publications

(3 citation statements)

References 52 publications

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“…• As expected in Ref. [11], the pole residues of Q and Q are almost equal when the interpolating currents in Eq. ( 9) are used.…”

Section: Numerical Resultssupporting

confidence: 79%

“…Since our preliminary results indicate that θ c and θ b are very small, Eqs. (11) and (12) are reduced to…”

Section: The Mass Sum Rulementioning

confidence: 99%

“…( 9)) of interpolating currents are adopted. These definitions have been proved in a quark model [11], and are considered to be possibly better definitions of interpolating currents for baryons. • We attempt to reveal the nature of mixing.…”

Section: Introductionmentioning

confidence: 98%

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Revisiting $$\Xi _{Q}-\Xi _{Q}^{\prime }$$ mixing in QCD sum rules

Sun,

Zhang,

Shi

et al. 2023

Eur. Phys. J. C

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In this work, we perform a QCD sum rules analysis on $$\Xi _{Q}-\Xi _{Q}^{\prime }$$ Ξ Q - Ξ Q ′ mixing. Contributions from up to dimension-6 four-quark operators are considered. However, it turns out that only dimension-4 and dimension-5 operators contribute, which reveals the non-perturbative nature of mixing. In particular, we observe that only the diagrams with the two light quarks participating in gluon exchange contribute to the mixing. Our results indicate that the mixing angle $$\theta _{c}=(1.2\sim 2.8)^{\circ }$$ θ c = ( 1.2 ∼ 2.8 ) ∘ for the $$Q=c$$ Q = c case and $$\theta _{b}=(0.28\sim 0.34)^{\circ }$$ θ b = ( 0.28 ∼ 0.34 ) ∘ for the $$Q=b$$ Q = b case. Our prediction of $$\theta _{c}$$ θ c is consistent with the most recent Lattice QCD result within error. Such a small mixing angle seems unlikely to resolve the tension between the recent experimental measurement from Belle and Lattice QCD calculation for the semileptonic decay $$\Xi _{c}^{0}\rightarrow \Xi ^{-} e^{+}\nu _{e}$$ Ξ c 0 → Ξ - e + ν e .

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“…• As expected in Ref. [11], the pole residues of Q and Q are almost equal when the interpolating currents in Eq. ( 9) are used.…”

Section: Numerical Resultssupporting

confidence: 79%

“…Since our preliminary results indicate that θ c and θ b are very small, Eqs. (11) and (12) are reduced to…”

Section: The Mass Sum Rulementioning

confidence: 99%