Towards an understanding of heavy baryon spectroscopy

Valcarce, A.; Garcilazo, H.; Vijande, J.

doi:10.1140/epja/i2008-10616-4

Cited by 203 publications

(190 citation statements)

References 39 publications

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“…Besides, a number of new Ξ c and Ξ ′ c states have been also discovered recently [2]. As can be seen all known experimental states fit nicely into the description of our model not leaving too many possibilities open for the assigned quantum numbers as we resume in Table 3.…”

Section: Statesupporting

confidence: 69%

“…The mass difference between states belonging to the3 F and 6 F representations do also contain the dynamics of the light diquark subsystem, hard to accommodate in any heavy quark mass expansion. Therefore, exact solutions of the three-body problem for [2]. The results are shown in Table 1 compared to experiment and other theoretical approaches.…”

Section: Heavy Baryonsmentioning

confidence: 99%

See 1 more Smart Citation

Hadron physics: a quark-model analysis

Valcarce¹,

Vijande²,

González³

et al. 2008

AIP Conference Proceedings

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Section: Statesupporting

confidence: 69%

Section: Heavy Baryonsmentioning

confidence: 99%

Hadron physics: a quark-model analysis

Valcarce¹,

Vijande²,

González³

et al. 2008

AIP Conference Proceedings

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“…Predictions of ∼ 3000 ± 40 MeV for the negative-parity Ω c states, and an analogous range for the Ω b states, have been made by several authors [10,[15][16][17][18][19][20][21][22][23][24][25][26][27]. (The last paper treats only 2S levels, identifying the states at 3066, 3119 MeV as candidates for J P = 1/2 + , 3/2 + , respectively.…”

Section: Alternative Interpretationsmentioning

confidence: 89%

Very narrow excited Ωc baryons

2017

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Recently LHCb reported the discovery of five extremely narrow excited Ω c baryons decaying into Ξ + c K − . We interpret these baryons as bound states of a c-quark and a P -wave ss-diquark. For such a system there are exactly five possible combinations of spin and orbital angular momentum. The narrowness of the states could be a signal that it is hard to pull apart the two s-quarks in a diquark. We predict two of spin 1/2, two of spin 3/2, and one of spin 5/2, all with negative parity. Of the five states two can decay in S-wave and three can decay in D-wave. Some of the D-wave states might be narrower than the S-wave states. We discuss relations among the five masses expected in the quark model and the likely spin assignments and compare with the data. A similar pattern is expected for negative-parity excited Ω b states. An alternative interpretation is noted in which the heaviest two states are 2S excitations with J P = 1/2 + and 3/2 + , while the lightest three are those with J P = 3/2 − , 3/2 − , 5/2 − expected to decay via D-waves. In this case we expect J P = 1/2 − Ω c states around 2904 and 2978 MeV.PACS codes: 12.39. Jh, 13.20.Jf, 13.25.Jx, 14.40 The proposed values of spin-parity J P are ours. An alternative set of assignments is shown in parentheses.State Mass (MeV) a Width (MeV) Proposed J P Ω c (3000) 0 3000.4 ± 0.2 ± 0.1 4.5 ± 0.6 ± 0.3 1/2 − (3/2 − ) Ω c (3050) 0 3050.2 ± 0.1 ± 0.1 0.8 ± 0.2 ± 0.1 1/2 − (3/2 − ) < 1.2 MeV, 95% CL Ω c (3066) 0 3065.6 ± 0.1 ± 0.3 3.5 ± 0.4 ± 0.2 3/2 − (5/2 − ) Ω c (3090) 0 3090.2 ± 0.3 ± 0.5 8.7 ± 1.0 ± 0.8 3/2 − (1/2 + ) Ω c (3119) 0 3119.1 ± 0.3 ± 0.91.1 ± 0.8 ± 0.4 5/2 − (3/2 + ) < 2.6 MeV, 95% CL a Additional common error of +0.3,-0.5 MeV from M (Ξ + c ) uncertainty. I IntroductionVery recently LHCb reported the discovery of five extremely narrow excited Ω c baryons decaying into Ξ + c K − [1], with masses and widths shown in Table I. We quote also our favored spin-parity assignment for these states, which we shall choose among the 5! = 120 possible permutations if all five states are P -wave excitations of the ss diquark with respect to the charmed quark. Some more recent calculations [2-6] that appeared after the first version of this paper reach the same conclusion. In parentheses we note an alternative assignment if the two heaviest states are 2S excitations.This discovery raises some immediate questions, which we address in detail: In Sec. II we comment on P -wave css baryons. We then analyze spin-dependent forces for the css system in Sec. III, building upon similar results [7] obtained previously for the negative-parity Σ c states. We evaluate the energy cost for a P -wave css excitation in Sec. IV, carry our results over to the Ω b system in Sec. V, discuss alternative interpretations of the spectrum in Sec. VI, and conclude in Sec. VII. Details of calculating the spin-dependent mass shifts are presented in Appendix A, with a linearized approximation in Appendix B.II P -wave c(ss) system Consider the (ss) in c(ss) to be an S-wave color3 c diquark....

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“…Finally, to make contact with our previous studies of the heavy baryon spectra [8,9], the linear potential is screened at long distances,…”

Section: −2mentioning

confidence: 99%

“…The best testing ground for this purpose are baryons made of three distinguishable quarks, with one of them light. As compared to singly heavy baryons, they are free of the uncertainties of the interaction between light quarks [8], whose spin-dependent part would be dominant, and the light quark kinematics [9]. Unlike triply heavy baryons, there exist pairs of quarks with total spin 0 in a relative S wave, whose contribution will become crucial to study the spin splittings recently reported by nonperturbative lattice QCD [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

Doubly heavy baryon spectra guided by lattice QCD

2016

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This paper provides results for the ground state and excited spectra of three-flavored doubly heavy baryons, bcn and bcs. We take advantage of the spin-independent interaction recently obtained to reconcile the lattice SU(3) QCD static potential and the results of nonperturbative lattice QCD for the triply heavy baryon spectra. We show that the spin-dependent potential might be constrained on the basis of nonperturbative lattice QCD results for the spin splittings of threeflavored doubly heavy baryons. Our results may also represent a challenge for future lattice QCD work, because a smaller lattice error could help in distinguishing between different prescriptions for the spin-dependent part of the interaction. Thus, by comparing with the reported baryon spectra obtained with parameters estimated from lattice QCD, one can challenge the precision of lattice calculations. The present work supports a coherent description of singly, doubly and triply heavy baryons with the same Cornell-like interacting potential. The possible experimental measurement of these states at LHCb is an incentive for this study.

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Towards an understanding of heavy baryon spectroscopy

Cited by 203 publications

References 39 publications

Hadron physics: a quark-model analysis

Hadron physics: a quark-model analysis

Very narrow excited Ωc baryons

Doubly heavy baryon spectra guided by lattice QCD

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