The quark model and b baryons

Marek Karliner; Boaz Keren-Zur; Harry J. Lipkin; Jonathan L. Rosner

doi:10.1016/j.aop.2008.05.003

The quark model and b baryons

Marek Karliner, Boaz Keren-Zur, Harry J. Lipkin, Jonathan L. Rosner^*

^*Corresponding author for this work

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

129 Scopus citations

Abstract

The recent observation at the Tevatron of Σ_b^± (uub and ddb) baryons within 2 MeV of the predicted Σ_b - Λ_b splitting and of Ξ_b^- (dsb) baryons at the Tevatron within a few mega electron volts (MeV) of predictions has provided strong confirmation for a theoretical approach based on modeling the color hyperfine interaction. The prediction of M (Ξ_b^-) = 5790-5800 MeV is reviewed and similar methods used to predict the masses of the excited states Ξ_b^′ and Ξ_b^*. The main source of uncertainty is the method used to estimate the mass difference m_b - m_c from known hadrons. We verify that corrections due to the details of the interquark potential and to Ξ_b-Ξ_b^′ mixing are small. For S-wave qqb states we predict M (Ω_b) = 6052.1 ± 5.6 MeV, M (Ω_b^*) = 6082.8 ± 5.6 MeV, and M (Ξ_b⁰) = 5786.7 ± 3.0 MeV. For states with one unit of orbital angular momentum between the b quark and the two light quarks we predict M (Λ_{b [3 / 2]}) = 5929 ± 2 MeV, M (Λ_{b [3 / 2]}) = 5940 ± 2 MeV, M (Ξ_{b [1 / 2]}) = 6106 ± 4 MeV, and M (Ξ_{b [3 / 2]}) = 6115 ± 4 MeV. Results are compared with those of other recent approaches.

Original language	English
Pages (from-to)	2-15
Number of pages	14
Journal	Annals of Physics
Volume	324
Issue number	1
DOIs	https://doi.org/10.1016/j.aop.2008.05.003
State	Published - Jan 2009

Funding

Funders	Funder number
Division of High Energy Physics	DE-FG02-90ER40560, DE-AC02-06CH11357
U.S. Department of Energy
Israel Academy of Sciences and Humanities
Israel Science Foundation

Keywords

Beauty baryons
Hardon spectroscopy
Heavy quarks

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10.1016/j.aop.2008.05.003

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title = "The quark model and b baryons",

abstract = "The recent observation at the Tevatron of Σb± (uub and ddb) baryons within 2 MeV of the predicted Σb - Λb splitting and of Ξb- (dsb) baryons at the Tevatron within a few mega electron volts (MeV) of predictions has provided strong confirmation for a theoretical approach based on modeling the color hyperfine interaction. The prediction of M (Ξb-) = 5790-5800 MeV is reviewed and similar methods used to predict the masses of the excited states Ξb′ and Ξb*. The main source of uncertainty is the method used to estimate the mass difference mb - mc from known hadrons. We verify that corrections due to the details of the interquark potential and to Ξb-Ξb′ mixing are small. For S-wave qqb states we predict M (Ωb) = 6052.1 ± 5.6 MeV, M (Ωb*) = 6082.8 ± 5.6 MeV, and M (Ξb0) = 5786.7 ± 3.0 MeV. For states with one unit of orbital angular momentum between the b quark and the two light quarks we predict M (Λb [3 / 2]) = 5929 ± 2 MeV, M (Λb [3 / 2]) = 5940 ± 2 MeV, M (Ξb [1 / 2]) = 6106 ± 4 MeV, and M (Ξb [3 / 2]) = 6115 ± 4 MeV. Results are compared with those of other recent approaches.",

keywords = "Beauty baryons, Hardon spectroscopy, Heavy quarks",

author = "Marek Karliner and Boaz Keren-Zur and Lipkin, {Harry J.} and Rosner, {Jonathan L.}",

note = "Funding Information: J.L.R. acknowledges the hospitality of Tel Aviv University during the early stages of this investigation. Part of this work was performed while J.L.R. was at the Aspen Center for Physics. We thank Dmitry Litvintsev for providing his figure comparing theoretical predictions with measurements of the mass. This research was supported in part by a grant from Israel Science Foundation awarded by Israel Academy of Science and Humanities. The research of H.J.L. was supported in part by the U.S. Department of Energy, Division of High Energy Physics, Contract DE-AC02-06CH11357. The work of J.L.R. was supported by the U.S. Department of Energy, Division of High Energy Physics, Grant No. DE-FG02-90ER40560.",

year = "2009",

month = jan,

doi = "10.1016/j.aop.2008.05.003",

language = "אנגלית",

volume = "324",

pages = "2--15",

journal = "Annals of Physics",

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T1 - The quark model and b baryons

AU - Karliner, Marek

AU - Keren-Zur, Boaz

AU - Lipkin, Harry J.

AU - Rosner, Jonathan L.

N1 - Funding Information: J.L.R. acknowledges the hospitality of Tel Aviv University during the early stages of this investigation. Part of this work was performed while J.L.R. was at the Aspen Center for Physics. We thank Dmitry Litvintsev for providing his figure comparing theoretical predictions with measurements of the mass. This research was supported in part by a grant from Israel Science Foundation awarded by Israel Academy of Science and Humanities. The research of H.J.L. was supported in part by the U.S. Department of Energy, Division of High Energy Physics, Contract DE-AC02-06CH11357. The work of J.L.R. was supported by the U.S. Department of Energy, Division of High Energy Physics, Grant No. DE-FG02-90ER40560.

PY - 2009/1

Y1 - 2009/1

N2 - The recent observation at the Tevatron of Σb± (uub and ddb) baryons within 2 MeV of the predicted Σb - Λb splitting and of Ξb- (dsb) baryons at the Tevatron within a few mega electron volts (MeV) of predictions has provided strong confirmation for a theoretical approach based on modeling the color hyperfine interaction. The prediction of M (Ξb-) = 5790-5800 MeV is reviewed and similar methods used to predict the masses of the excited states Ξb′ and Ξb*. The main source of uncertainty is the method used to estimate the mass difference mb - mc from known hadrons. We verify that corrections due to the details of the interquark potential and to Ξb-Ξb′ mixing are small. For S-wave qqb states we predict M (Ωb) = 6052.1 ± 5.6 MeV, M (Ωb*) = 6082.8 ± 5.6 MeV, and M (Ξb0) = 5786.7 ± 3.0 MeV. For states with one unit of orbital angular momentum between the b quark and the two light quarks we predict M (Λb [3 / 2]) = 5929 ± 2 MeV, M (Λb [3 / 2]) = 5940 ± 2 MeV, M (Ξb [1 / 2]) = 6106 ± 4 MeV, and M (Ξb [3 / 2]) = 6115 ± 4 MeV. Results are compared with those of other recent approaches.

AB - The recent observation at the Tevatron of Σb± (uub and ddb) baryons within 2 MeV of the predicted Σb - Λb splitting and of Ξb- (dsb) baryons at the Tevatron within a few mega electron volts (MeV) of predictions has provided strong confirmation for a theoretical approach based on modeling the color hyperfine interaction. The prediction of M (Ξb-) = 5790-5800 MeV is reviewed and similar methods used to predict the masses of the excited states Ξb′ and Ξb*. The main source of uncertainty is the method used to estimate the mass difference mb - mc from known hadrons. We verify that corrections due to the details of the interquark potential and to Ξb-Ξb′ mixing are small. For S-wave qqb states we predict M (Ωb) = 6052.1 ± 5.6 MeV, M (Ωb*) = 6082.8 ± 5.6 MeV, and M (Ξb0) = 5786.7 ± 3.0 MeV. For states with one unit of orbital angular momentum between the b quark and the two light quarks we predict M (Λb [3 / 2]) = 5929 ± 2 MeV, M (Λb [3 / 2]) = 5940 ± 2 MeV, M (Ξb [1 / 2]) = 6106 ± 4 MeV, and M (Ξb [3 / 2]) = 6115 ± 4 MeV. Results are compared with those of other recent approaches.

KW - Beauty baryons

KW - Hardon spectroscopy

KW - Heavy quarks

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The quark model and b baryons

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