Spectra of Free Diquark in the Bethe-Salpeter Approach

Abstract

In this work, we employ the Bethe-Salpeter (B-S) equation to investigate the spectra of free diquarks and their B-S wave functions. We find that the B-S approach can be consistently applied to study the diqaurks with two heavy quarks or one heavy and one light quarks, but for two light-quark systems, the results are not reliable. There are a few free parameters in the whole scenario which can only be fixed phenomenologically. Thus, to determine them, one has to study baryons which are composed of quarks and diquarks.

arXiv comment16 pages, no figures

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Cited by in corpus (15)

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• Analysis of the scalar and axial-vector heavy diquark states with QCD sum rules
• Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark
• ${\Sigma }_b\to {\Sigma }_c$ and ${\Omega }_b\to {\Omega }_c$ weak decays in the light-front quark model
• Masses of doubly heavy baryons in the Bethe-Salpeter equation approach
• Strong decays of heavy baryons in Bethe-Salpeter formalism
• Going in quest of potential tetraquark interpretations for the newly observed $T_{\psi \psi }$ states in light of the diquark-antidiquark scenarios
• Tetraquarks as Diquark Antidiquark Bound Systems
• Heavy-Light Mesons In A Relativistic Model
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach
• Regge trajectories for the heavy-light diquarks
• Regge trajectories for the light diquarks
• Study on the Form Factors at Effective Vertices of Diqarks Interacting with Gauge Bosons