The mass spectra and wave functions for the doubly heavy baryons with $J^P=1^{+}$ heavy diquark core

Abstract

The mass spectra and wave functions for the doubly heavy baryons are computed under the picture that the two heavy quarks inside a doubly heavy baryon, such as two $c$-quarks in ${\Xi }_{cc}$, combine into a heavy `diquark core' in color anti-triplet firstly, then the diquark core turns into a color-less doubly heavy baryon via combining the light $q$-quark inside the baryon. Namely both of the combinations, the two heavy quarks inside the baryon into a diquark core in color anti-triplet and the heavy diquark core with the light quark into the baryon, are depicted by relativistic Bethe-Salpeter equations (BSEs) with an accordingly QCD inspired kernel respectively, although in the paper only the heavy diquark cores with the quantum numbers $J^P=1^{+}$ are considered. Since the `second combination' is of the heavy diquark core and the light quark, so the structure effect of the diquark core to the relevant kernel of the BSE is specially considered in terms of the diquark-core wave functions. The mass spectra and wave functions for the `low-laying' doubly heavy baryons in the flavors $(ccq)$, $(bcq)$ and $(bbq)$ and in the quantum numbers $J^P={\frac{1}{2}}^{+}$, $J^P={\frac{3}{2}}^{+}$, achieved by solving the equations under the so-called instantaneous approximation, are presented properly and some comparisons with the others' results under different approaches in the literature are made.

21 pages, 17 figures; To be published in Chinese Physics C

References in corpus (21)

• Observation of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Charmed bottom baryon spectroscopy from lattice QCD
• Baryons with two heavy quarks: Masses, production, decays, and detection
• Precise predictions of charmed-bottom hadrons from lattice QCD
• Static properties and semileptonic decays of doubly heavy baryons in a nonrelativistic quark model
• Observation of a new ${\Xi }_b^{-}$ resonance
• Measurement of the lifetime of the doubly charmed baryon ${\Xi }_{cc}^{++}$
• Mass spectra and radiative transitions of doubly heavy baryons in a relativized quark model
• Doubly heavy baryons in a Salpeter model with AdS/QCD inspired potential
• Masses of doubly heavy-quark baryons in an extended chromomagnetic model
• Spectrum for Heavy Quankonia and Mixture of the Relevant Wave Functions within the Framework of Bethe-Salpeter Equation
• Isospin splittings of doubly heavy baryons
• Bethe-Salpeter equation for doubly heavy baryons in the covariant instantaneous approximation
• Lattice QCD study of doubly-charmed strange baryons
• Lifetime of doubly charmed baryons
• The masses and axial currents of the doubly charmed baryons
• Masses of doubly heavy baryons in the Bethe-Salpeter equation approach
• Quark-level analogue of nuclear fusion with doubly-heavy baryons
• Strange baryons with two heavy quarks
• Electromagnetic form factors of ${\Lambda }_b$ in the Bethe-Salpeter equation approach
• The Average Kinetic Energy of the Heavy Quark in ${\Lambda }_b$ in the Bethe-Salpeter Equation Approach

Cited by in corpus (22)

• Charmed Baryon Physics Circa 2021
• Tetraquark state $X(6900)$ and the interaction between diquark and antidiquark
• Possible Molecular States of $D^{(\ast )}{D}^{(\ast )}$ and $B^{(\ast )}{B}^{(\ast )}$ within the Bethe-Salpeter framework
• Precision measurement of the ${\Xi }_{cc}^{++}$ mass
• Mass spectra and wave functions of $T_{QQ\bar{Q}\bar{Q}}$ tetraquarks
• Recently observed $P_c$ as molecular states and possible mixture of $P_c(4457)$
• Inclusive approach to hunt for the beauty-charmed baryons ${\Xi }_{bc}$
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• The Status of ${\Xi }_{cc}^{++}$ Baryon: investigating quark-diquark model
• Possible molecular states of ${\bar{D}}^{\ast }{K}^{\ast }$ ($D^{\ast }{K}^{\ast }$) and the new exotic states $X_0(2900)$ and $X_1(2900)$ ($T_{cs0}^a(2900{)}^0$ and $T_{cs0}^a(2900{)}^{++}$)
• Effective QCD string and doubly heavy baryons
• Molecular ${\Omega }_{cc}$ , ${\Omega }_{bb}$ and ${\Omega }_{bc}$ states
• Study on possible molecular states composed of ${\Lambda }_c\bar{D}$ (${\Lambda }_{b}B$) and ${\Sigma }_c\bar{D}$ (${\Sigma }_{b}B$) within the Bethe-Salpeter framework
• Mass spectra of bottom-charm baryons
• Mass spectra of double-bottom baryons
• The study of possible molecular states of $D_s^{(\ast )}{D}_s^{(\ast )}$ and $B_s^{(\ast )}{B}_s^{(\ast )}$
• Strong decays of the low-lying doubly bottom baryons
• Chiral corrections to the masses of the doubly heavy baryons
• Mass spectra, wave functions and mixing effects of the $(bcq)$ baryon
• Strong decays of $P_{\psi }^N(4440{)}^{+}$ and $P_{\psi }^N(4457{)}^{+}$ within the Bethe-Salpeter framework
• Chiral Lagrangians for spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryons
• A proposal to the '$\frac{1}{2}$ vs. $\frac{3}{2}$ puzzle'