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Strong decay of ${\Lambda}_{\bf c}\textbf{(2880)}^{+}$ as 2D-wave excitations
Received date: 2021-05-31
Online published: 2021-09-10
The strong decay of $\Lambda _{c} (2880)^+$ in the $^3P_0 $model was investigated. The decay widths and the ratio of branchingfractions of $\Lambda _{c} (2880)^+$ were calculated. Thenumerical results showed that $\Lambda _{c} (2880)^+$ may be a2D-excited $\Lambda _{{c}2}\big(\frac{3}{2}^+\big)$ with$J^P\!=\!\frac{3}{2}^+$. $n_\rho \!=\!1$ and $l_\lambda\!=\!2$belonged to the radial $\rho $-mode excitation and the orbital$\lambda $-mode excitation, respectively. The ratio of branchingfractions was $R={\it\Gamma} (\Lambda _{c} (2880)^+\to \Sigma_{c} (2520)\pi )$/${\it\Gamma} (\Lambda _{c} (2880)^+\to\Sigma _{c} (2455)\pi )=0.16$. The total decay width was${\it\Gamma} _{total} = 18.53$ MeV. $\Lambda _{c} (2880)^+$could also be a 2D-excited $\Lambda _{{c}2}^{'}\big(\frac{3}{2}^+\big)$ with $J^P=\frac{3}{2}^+$,$n_\lambda =1$ and $l_\lambda=2$, indicating the radial $\lambda$-mode excitation and the orbital $\lambda $-mode excitation. Inthis study, ${\it\Gamma} _{total} =1.69$ MeV, and $R={\it\Gamma}(\Lambda _{c} (2880)^+\to \Sigma _{c} (2520)\pi)$/${\it\Gamma} (\Lambda _{c} (2880)^+\to \Sigma _{c}(2455)\pi )=0.10$.
Key words:
LI Yang, ZHANG Ailin . Strong decay of ${\Lambda}_{\bf c}\textbf{(2880)}^{+}$ as 2D-wave excitations[J]. Journal of Shanghai University, 2022 , 28(2) : 347 -356 . DOI: 10.12066/j.issn.1007-2861.2324
| [1] | Barbar Collaboration. Observation of a charmed baryon decaying to $D^0p$ at a mass near 2.94 GeV/ $\mathrm c^2$[J]. Physical Review Letters, 2007, 98(1): 012001. |
| [2] | Belle Collaboration. Experimental constraints on the spin and parity of the $\Lambda _{c} (2880)^+$[J]. Physical Review Letters, 2007, 98(26): 262001. |
| [3] | LHCb Collaboration. Study of the $D^0p$ amplitude in $\Lambda _\mathrm b^0 \to D^0p\pi ^+$ decays[J]. Journal of High Energy Physics, 2017, 5: 30. |
| [4] | Ebert D, Faustova R N, Galkin V O. Spectroscopy and Regge trajectories of heavy baryons in the relativistic quark-diquark picture[J]. Physical Review D, 2011, 84(1): 014025. |
| [5] | Cheng H Y, Chua C K. Strong decays of charmed baryons in heavy hadron chiral perturbation theory: an update[J]. Physical Review D, 2015, 92(7): 074014. |
| [6] | Chen B, Wei K W, Zhang A. Investigation of $\Lambda _\mathrm Q $ and $\Xi _\mathrm Q $ baryons in the heavy quark-light diquark picture[J]. The European Physical Journal A, 2015, 51(7): 82. |
| [7] | Chen B, Liu X, Zhang A. Newly observed $\Lambda _{c} (2860)^+$ at LHCb and its D-wave partners $\Lambda _{c} (2880)^+$, $\Xi _{c} (3055)^+$ and $\Xi _{c} (3080)^+$[J]. Physical Review D, 2017, 95(7): 074022. |
| [8] | Ebert D, Faustova R N, Galkin V O. Masses of excited heavy baryons in the relativistic quark-diquark picture[J]. Physics Letters B, 2008, 659(3): 612-620. |
| [9] | Yoshida T, Hiyama E, Hosaka A, et al. Spectrum of heavy baryons in the quark model[J]. Physical Review D, 2015, 92(11): 114029. |
| [10] | 赵泽. 含有一个粲夸克强子强衰变的研究[D]. 上海: 上海大学, 2018. |
| [11] | Chen C, Chen X L, Liu X, et al. Strong decays of charmed baryons[J]. Physical Review D, 2007, 75(9): 094017. |
| [12] | Micu L. Decay rates of meson resonances in a quark model[J]. Nuclear Physics B, 1969, 10(3): 521-526. |
| [13] | Yaouanc A L, Oliver L, Pène O, et al. "Naive" quark-pair-creation model of strong-interaction vertices[J]. Physical Review D, 1973, 8(7): 2223-2234. |
| [14] | Yaouanc A L, Oliver L, Pène O, et al. Naive quark-pair-creation model and baryon decays[J]. Physical Review D, 1974, 9(5): 1415-1419. |
| [15] | Yaouanc A L, Oliver L, Pène O, et al. Resonant partial-wave amplitudes in $\pi N\to \pi \pi N$ according to the naive quark-pair-creation model[J]. Physical Review D, 1975, 11(5): 1272-1286. |
| [16] | Yaouanc A L, Oliver L, Pène O, et al. Strong decays of $\psi ^{"}(4.028)$ as a radial excitation of charmonium[J]. Physics Letters B, 1977, 71(2): 397-399. |
| [17] | Yaouanc A L, Oliver L, Pène O, et al. Why is $\psi (4.414)$ so narrow?[J]. Physics Letters B, 1977, 72(1): 57-61. |
| [18] | Zhao Z, Ye D D, Zhang A. Nature of charmed strange baryons $\Xi _{c} (3055)$ and $\Xi _{c} (3080)$[J]. Physical Review D, 2016, 94(11): 114020. |
| [19] | Cheng H Y, Chua C K. Strong decays of charmed baryons in heavy hadron chiral perturbation theory[J]. Physical Review D, 2007, 75(1): 014006. |
| [20] | Zhong X H, Zhao Q. Charmed baryon strong decays in a chiral quark model[J]. Physical Review D, 2008, 77(7): 074008. |
| [21] | Chen H X, Chen W, Mao Q, et al. P-wave charmed baryons from QCD sum rules[J]. Physical Review D, 2015, 91(5): 054034. |
| [22] | Chen H X, Mao Q, Hosaka A, et al. D-wave charmed and bottomed baryons from QCD sum rules[J]. Physical Review D, 2016, 94(11): 114016. |
| [23] | Chen H X, Mao Q, Chen W, et al. Decay properties of P-wave charmed baryons from light-cone QCD sum rules[J]. Physical Review D, 2017, 95(9): 094008. |
| [24] | Lü Q F, Xiao L Y, Wang Z Y, et al. Strong decay of $\Lambda _{c} (2940)$ as 2P state in the $\Lambda _{c} $ family[J]. The European Physical Journal C, 2018, 78(7): 599. |
| [25] | Capstick S, Isgur N. Baryons in a relativized quark model with chromodynamics[J]. Physical Review D, 1986, 34(9): 2809-2835. |
| [26] | Capstick S, Roberts W. $N\pi $ decays of baryons in a relativized model[J]. Physical Review D, 1993, 47(5): 1994-2010. |
| [27] | Capstick S, Roberts W. Quasi-two-body decays of nonstrange baryons[J]. Physical Review D, 1994, 49(9): 4570-4586. |
| [28] | Zhao Z, Ye D D, Zhang A. Hadronic decay properties of newly observed $\Omega _{c}$ baryons[J]. Physical Review D, 2017, 95(11): 114024. |
| [29] | Yang P, Guo J J, Zhang A. Identification of the newly observed $\Sigma _{b} (6097)^\pm $ baryons from their strong decays[J]. Physical Review D, 2019, 99(3): 034018. |
| [30] | Guo J J, Yang P, Zhang A. Strong decays of observed $\Lambda _{c} $ baryons in the $^3P_0 $ model[J]. Physical Review D, 2019, 100(1): 014001. |
| [31] | Blundell H G, Godfrey S. $\xi(2220)$ reexamined: strong decays of the $1^3F_2$ and $1^3F_4 s\overline s$ mesons[J]. Physical Review D, 1996, 53(7): 3700-3711. |
| [32] | Roberts W, Pervin M. Heavy baryons in a quark model[J]. International Journal of Modern Physics A, 2008, 23: 2817-2860. |
| [33] | Lü Q F, Zhong X H. Strong decays of the higher excited $\Lambda _{Q} $ and $\Sigma _{Q} $ baryons[J]. Physical Review D, 2020, 101(1): 014017. |
| [34] | Kim Y, Hiyama E, Oka M, et al. Spectrum of singly heavy baryons from a chiral effective theory of diquarks[J]. Physical Review D, 2020, 102(1): 014004. |
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