Erratum: Lattice study of the two-photon decay widths for scalar and pseudo-scalar charmonium [Chin. Phys. C 44(8), 083108 (2020)]

Ying Chen; Ming Gong; Ning Li; Chuan Liu; Yu-Bin Liu; Zhaofeng Liu; Jian-Ping Ma; Yu Meng; Chao Xiong; Ke-Long Zhang

doi:10.1088/1674-1137/ac4bcd

Chinese Physics C> 2022, Vol. 46> Issue(5) : 059001 DOI: 10.1088/1674-1137/ac4bcd

Erratum: Lattice study of the two-photon decay widths for scalar and pseudo-scalar charmonium [Chin. Phys. C 44(8), 083108 (2020)]

Ying Chen ^1,2 ,
Ming Gong ^1,2 ,
Ning Li ^3,, ,
Chuan Liu ^4,5 ,
Yu-Bin Liu ⁶ ,
Zhaofeng Liu ^1,2 ,
Jian-Ping Ma ^2,7 ,
Yu Meng ⁸ ,
Chao Xiong ⁸ ,
Ke-Long Zhang ⁸

1.
Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
2.
School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China
3.
School of Science, Xi’an Technological University, Xi’an 710032, China
4.
School of Physics and Center for High Energy Physics, Peking University, Beijing 100871, China
5.
Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
6.
School of Physics, Nankai University, Tianjin 300071, China
7.
Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
8.
School of Physics, Peking University, Beijing 100871, China

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Ying Chen, Ming Gong, Ning Li, Chuan Liu, Yu-Bin Liu, Zhaofeng Liu, Jian-Ping Ma, Yu Meng, Chao Xiong and Ke-Long Zhang. Erratum: Lattice study of the two-photon decay widths for scalar and pseudo-scalar charmonium [Chin. Phys. C 44(8), 083108 (2020)][J]. Chinese Physics C. doi: 10.1088/1674-1137/ac4bcd

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Erratum: Lattice study of the two-photon decay widths for scalar and pseudo-scalar charmonium [Chin. Phys. C 44(8), 083108 (2020)]

Corresponding author: Ning Li, lining@xatu.edu.cn

1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China

2. School of Physics, University of Chinese Academy of Sciences, Beijing 100049, China

3. School of Science, Xi’an Technological University, Xi’an 710032, China

4. School of Physics and Center for High Energy Physics, Peking University, Beijing 100871, China

5. Collaborative Innovation Center of Quantum Matter, Beijing 100871, China

6. School of Physics, Nankai University, Tianjin 300071, China

7. Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China

8. School of Physics, Peking University, Beijing 100871, China

Received Date: 2022-01-10

Available Online: 2022-05-15

Abstract:

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It is bought to the authors' attention from a recent study [1] that, one should consider the final state photon exchange symmetry in the process of two-photon decay widths for various charmonia. This renders the form factors in Eq. (23)-Eq. (26) of the original paper differ by a factor of two and the final decay width by a factor of four. Therefore, Eq. (23)-Eq. (26) now should read,

$ \begin{aligned}[b] F(0,0)_{B1} = & 2\times0.1283(1)(3)(77)\;, \\ = &0.2566(2)(6)(154)\; \end{aligned} $

(1)

$ \begin{aligned}[b] F(0,0)_{C1} = & 2\times0.1240(4)(13)(68)\;, \\= &0.248(8)(26)(136)\; \end{aligned} $

(2)

$ \begin{aligned}[b] G(0,0)_{B1} = & 2\times0.1017(7)(102)(126)\;, \\ = &0.2034(14)(204)(252)\; \end{aligned} $

(3)

$ \begin{aligned}[b] G(0,0)_{C1} = & 2\times0.0907(8)(19)(90)\;,\\ = &0.1814(16)(38)(180)\;, \end{aligned} $

(4)

and the decay widths shown in Eq.(27) of the original paper should be modified to the following:

$ \begin{aligned}[b] \Gamma(\eta_c\rightarrow \gamma\gamma)_{B1} = & 4\times1.62(19)\;{\rm{KeV}} , \\ = &6.48(76)\;{\rm{KeV}} , \end{aligned} $

(5)

$ \begin{aligned}[b] \Gamma(\eta_c\rightarrow \gamma\gamma)_{C1} = & 4\times1.51(17)\;{\rm{KeV}} , \\ = &6.04(68)\;{\rm{KeV}} , \end{aligned} $

(6)

$ \begin{aligned}[b] \Gamma(\chi_{c0}\rightarrow \gamma\gamma)_{B1} = & 4\times1.18(38)\;{\rm{KeV}} , \\ = &4.72(152)\;{\rm{KeV}} , \end{aligned} $

(7)

$ \begin{aligned}[b] \Gamma(\chi_{c0}\rightarrow \gamma\gamma)_{C1} = & 4\times0.93(19)\;{\rm{KeV}} , \\ = &3.72(76)\;{\rm{KeV}} . \end{aligned} $

(8)

The decay widths are now in better agreement with the experiment values.

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Erratum: Lattice study of the two-photon decay widths for scalar and pseudo-scalar charmonium [Chin. Phys. C 44(8), 083108 (2020)]

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