Masses of ground-state mesons and baryons, including those with heavy quarks

Abstract

Using a confining, symmetry-preserving regularisation of a vector×vector contact interaction, we compute the spectra of ground-state pseudoscalar and vector (fḡ) mesons, scalar and axial-vector (f g) diquarks, and J P = 1/2 + , 3/2 + (f gh) baryons, where f, g, h ∈ {u, d, s, c, b}. The diquark correlations are essentially dynamical and play a key role in formulating and solving the threevalence-quark baryon problems. The baryon spectrum obtained from this largely-algebraic approach reproduces the 22 known experimental masses with an accuracy of 2.9(2.4)%. It also possesses the richness of states typical of constituent-quark models, predicting many heavy-quark baryons not yet observed. This study indicates that diquark correlations are an important component of all baryons; and owing to the dynamical character of the diquarks, it is typically the lightest allowed diquark correlation which defines the most important component of a baryon's Faddeev amplitude. *

Masses of light and heavy mesons and baryons: A unified picture

“…Although the names for the mesons are the conventional ones, the quark content is also shown explicitly to avoid confusion. An equal spacing rule for pseudoescalar mesons containing one heavy quark is [29,54,55]…”

“…The results are reported in Tables V and VI. Equal spacing rule for vector mesons with the same quark content in Eq. (22), [29,54,55] The Eq. (28) is exactly fulfilled for the experimental results and for the HP.…”

“…We test these mass relations, Eqs. (29)(30)(31)(32)(33)(34)(35)(36)(37), against experiment. The deviation from these mass relations is listed in the The SU (5) flavor group includes all types of baryons containing zero, one, two or three heavy quarks.…”

“…Since then it has been used to study a wide range of mesons in light quark sector [21][22][23][24][25]. Its range of applicability was later extended to the study of charmed and bottom mesons [26][27][28][29]. A calculation of the spectrum of strange and nonstrange hadrons with the CI treatment was published in [24].…”

Triply charmed and bottom baryons in a constituent quark model

“…The masses for the spin quartets Ω ccc (1 4 D J ) are predicted to be in the range of ∼ 5.35−5.42 GeV in present work, which [11] 4769(6) · · · Lattice QCD [12] 4789(6)(21) · · · Lattice QCD [13] 4761(52)(21)(6) · · · Lattice QCD [14] 4734(12)(11)(9) · · · Lattice QCD [9] 4763(6) · · · Lattice QCD [15] · · · 14371 ± 4 ± 11 NRCQM [16] 4965 14834 NRCQM [17] 4798 14396 NRCQM [18] 4763 14371 NRCQM [19] 4801 ± 5 14373 ± 25 QCD Sum Rule [20] 4670 ± 150 13280 ± 100 QCD Sum Rule [21] 4720 ± 120 14300 ± 200 QCD Sum Rule [22] 4990 ± 140 14830 ± 100 Faddeev Equation [23] 4900 13800 Faddeev Equation [24] 4760 14370 Faddeev Equation [25] 4799 14244 Diquark Model [26] 4760 14370 Diquark Model [27] 4800 14370 Variational Method [45] 4799 14396 Variational Method [28] 4760 ± 60 14370 ± 80 Bag model [29] 4777 14276 Bag model [30] 4790 14300 RQM [31] 4803 14569 HCQM [32] 4806 14496 HCQM [33] 4812 ± 85 14566 ± 122 Regge Theory [34] 4834 +82 −81 · · · Regge Theory [35] · · · 14788 ± 80 NRQCD [36] 4900(250) 14700(300) Bathe-Salpeter Equation [37] 4773 · · · RGPEP [38] 4797 14346 is compatible with the predictions from Lattice QCD [9] and NRCQM [17]. From Table VIII, it is found that the mass order for the spin quartets predicted in the literature is very different, in this work we predict a normal order, i.e.,…”