Faddeev study of heavy-baryon spectroscopy

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

doi:10.1088/0954-3899/34/5/014

Cited by 193 publications

(220 citation statements)

References 62 publications

(123 reference statements)

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“…(18). This is considerably closer to our estimate of about 240 MeV than the value of about 338 MeV taking all five LHCb states as P -waves, Eqs.…”

Section: Alternative Interpretationssupporting

confidence: 65%

“…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%

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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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“…(18). This is considerably closer to our estimate of about 240 MeV than the value of about 338 MeV taking all five LHCb states as P -waves, Eqs.…”

Section: Alternative Interpretationssupporting

confidence: 65%

Section: Alternative Interpretationsmentioning

confidence: 89%

Very narrow excited Ωc baryons

2017

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“…The masses of Ã Ã0 b states obtained in our analysis are 30-40 MeV=c 2 higher than in the prediction using the constituent quark model [12] and 20-30 MeV=c 2 lower than the predictions based on the relativistic quark model [11], modeling the color hyperfine interaction [14] and an approach based on the heavy quark effective theory [15]. Calculation involving a combined heavy quark and large number of colors expansion [9,10] gives a value roughly in agreement, although only the spin-averaged prediction is available.…”

Section: Study Of Several High-statistics Samples [ãcontrasting

confidence: 65%

“…The properties of excited Ã 0 b baryons are discussed in Refs. [9][10][11][12][13][14][15]. Most predictions give masses above the Ã 0 b % þ % À threshold but below the AE b % threshold.…”

mentioning

confidence: 98%

Observation of ExcitedΛb0Baryons

Aaij¹,

Beteta²,

Adametz³

et al. 2012

Phys. Rev. Lett.

121

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Using pp collision data corresponding to 1:0 fb À1 integrated luminosity collected by the LHCb detector, two narrow states are observed in the Ã 0 b % þ % À spectrum with masses 5911:97 AE 0:12ðstatÞ AE 0:02ðsystÞ AE 0:66ðÃ 0 b massÞ MeV=c 2 and 5919:77 AE 0:08ðstatÞ AE 0:02ðsystÞ AE 0:66ðÃ 0 b massÞ MeV=c 2 . The significances of the observations are 5.2 and 10.2 standard deviations, respectively. These states are interpreted as the orbitally excited Ã 0 b baryons, Ã Ã0 b ð5912Þ and Ã Ã0 b ð5920Þ.

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“…Recent theoretical work suggests some possible quantum numbers for the charm-strange baryons based on comparisons of masses, decay rates, and decay modes in experiment and theory [13,14,15,16,17].…”

Section: ++mentioning

confidence: 99%

A Study of Double-Charm and Charm-Strange Baryons inElectron-Positron Annihilations

Edwards¹

2007

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Faddeev study of heavy-baryon spectroscopy

Cited by 193 publications

References 62 publications

Very narrow excited Ωc baryons

Very narrow excited Ωc baryons

Observation of ExcitedΛb0Baryons

A Study of Double-Charm and Charm-Strange Baryons inElectron-Positron Annihilations

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