Mass spectra of heavy baryons

Abstract A singly heavy baryon can be viewed as $N_c-1$ ($N_c$ being the number of colors) light valence quarks bound by the pion mean fields that are created by the presence of the $N_c-1$ valence quarks self-consistently, while the heavy quark inside a singly heavy baryon is regarded as a static color source. We investigate how the pion mean fields are created by the presence of $N_c$, $N_c-1$, and $N_c-2$ light valence quarks, which correspond to the systems of light baryons, singly heavy baryons, and doubly heavy baryons. As the number of colors decreases from $N_c$ to $N_c-1$, the pion mean fields undergo changes. As a result, the valence quark contributions to the moments of inertia of the soliton become larger than for $N_c$ valence quarks, whereas the sea quark contributions decrease systematically. On the other hand, the presence of the $N_c-2$ valence quarks is not enough to produce the strong pion mean fields, which leads to the classical soliton not being formed. This indicates that the pion mean-field approach is not suitable to describe doubly heavy baryons. We show that the mass spectra of the singly heavy baryons are better described by the improved pion mean fields, compared with the previous work in which the pion mean fields are assumed to be intact with $N_c$ varied.

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Mass spectra of doubly heavy baryons in the relativistic quark model

Physical Review D ◽

10.1103/physrevd.66.014008 ◽

2002 ◽

Vol 66 (1) ◽

Cited By ~ 157

Author(s):

D. Ebert ◽

R. N. Faustov ◽

V. O. Galkin ◽

A. P. Martynenko

Keyword(s):

Quark Model ◽

Mass Spectra ◽

Relativistic Quark Model ◽

Heavy Baryons

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HEAVY DIQUARK SYMMETRY CONSTRAINTS FOR STRONG DECAYS

International Journal of Modern Physics A ◽

10.1142/s0217751x12501539 ◽

2012 ◽

Vol 27 (27) ◽

pp. 1250153 ◽

Cited By ~ 5

Author(s):

B. EAKINS ◽

W. ROBERTS

Keyword(s):

Heavy Quark ◽

Quark Model ◽

Strange Quark ◽

Mass Spectra ◽

Heavy Baryons ◽

Nonrelativistic Quark Model ◽

Decay Widths ◽

Symmetry Constraints

The heavy diquark symmetry (HDS) of doubly heavy baryons (DHBs) provides new insights into the spectroscopy of these hadrons. We derive the consequences of this symmetry for the mass spectra and the decay widths of DHBs. We compare these symmetry constraints to results from a nonrelativistic quark model for the mass spectra and results from the 3P0 model for strong decays. The quark model we implement was not constructed with these symmetries and contains interactions which explicitly break HDS. Nevertheless these symmetries emerge. We argue that the 3P0 model and any other model for strong transitions which employs a spectator assumption explicitly respects HDS. We also explore the possibility of treating the strange quark as a heavy quark and apply these ideas to Ξ, Ξc and Ξb baryons.

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Properties of Doubly Heavy Baryons

Universe ◽

10.3390/universe7090337 ◽

2021 ◽

Vol 7 (9) ◽

pp. 337

Author(s):

Zalak Shah ◽

Amee Kakadiya ◽

Keval Gandhi ◽

Ajay Kumar Rai

Keyword(s):

Excited State ◽

Quark Model ◽

Ground State ◽

Mass Spectra ◽

Constituent Quark ◽

Magnetic Moments ◽

Constituent Quark Model ◽

Negative Parity ◽

Heavy Baryons ◽

Model Scheme

We revisited the mass spectra of the Ξcc++ baryon with positive and negative parity states using Hypercentral Constituent Quark Model Scheme with Coloumb plus screened potential. The ground state of the baryon has been determined by the LHCb experiment, and the anticipated excited state masses of the baryon have been compared with several theoretical methodologies. The transition magnetic moments of all heavy baryons Ξcc++, Ξcc+, Ωcc+, Ξbb0, Ξbb−, Ωbb−, Ξbc+, Ξbc0, Ωbc0 are also calculated and their values are −1.013 μN, 1.048 μN, 0.961 μN, −1.69 μN, 0.73 μN, 0.48 μN, −1.39 μN, 0.94 μN and 0.710 μN, respectively.

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