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Erratum: Excitation spectra of one-dimensional spin-1/2 Fermi gas with an attraction (2022 Commun. Theor. Phys. 74 125802)

  • Jia-Feng Pan 1, 2 ,
  • Jia-Jia Luo , 1, 3 ,
  • Xi-Wen Guan , 1, 2, 4
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  • 1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences, Wuhan 430071, China
  • 2Department of Fundamental and Theoretical Physics, Research School of Physics, Australian National University, Canberra ACT 0200, Australia
  • 3 University of Chinese Academy of Sciences, Beijing 100049, China
  • 4 NSFC-SPTP Peng Huanwu Center for Fundamental Theory, Xian 710127, China

Received date: 2023-03-01

  Accepted date: 2023-03-02

  Online published: 2023-04-12

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© 2023 Institute of Theoretical Physics CAS, Chinese Physical Society and IOP Publishing

Cite this article

Jia-Feng Pan , Jia-Jia Luo , Xi-Wen Guan . Erratum: Excitation spectra of one-dimensional spin-1/2 Fermi gas with an attraction (2022 Commun. Theor. Phys. 74 125802)[J]. Communications in Theoretical Physics, 2023 , 75(4) : 045801 . DOI: 10.1088/1572-9494/acc056

Two typos should be corrected in equations (45) and (47) in our paper.
First, in the middle steps of the second equality in equation (45),5() several minus signs are missing. The second equality of equation (45) should be corrected by
$\begin{eqnarray}\begin{array}{rcl}{m}_{b}^{* } & \approx & \displaystyle \frac{1}{2}{\left(1-\displaystyle \frac{B+Q}{\pi \left|c\right|}\right)}^{2}\approx \displaystyle \frac{1}{2}\left(1-\displaystyle \frac{2B+2Q}{\pi \left|c\right|}\right)\\ & = & m\left(1-\displaystyle \frac{2B+2Q}{\pi \left|c\right|}\right)\approx m\left(1-\displaystyle \frac{1}{{\gamma }_{b}}-\displaystyle \frac{2}{{\gamma }_{u}}\right),\end{array}\end{eqnarray}$
where we also replace mb by m since for free fermions, mb = mu = m.
Secondly, the middle steps of the second equality in equation (47)6() should be corrected by
$\begin{eqnarray}\begin{array}{rcl}{m}_{u}^{* } & \approx & \displaystyle \frac{1}{2}{\left(1-\displaystyle \frac{4B}{\pi \left|c\right|}\right)}^{2}\approx \displaystyle \frac{1}{2}\left(1-\displaystyle \frac{8B}{\pi \left|c\right|}\right)\\ & = & m\left(1-\displaystyle \frac{8B}{\pi \left|c\right|}\right)\approx m\left(1-\displaystyle \frac{4}{{\gamma }_{b}}\right).\end{array}\end{eqnarray}$
These typos did not appear in other calculation steps and therefore there is no influence on final results.
Moreover, at the beginning of the penultimate line of equation (5), there is an unwanted multiplication symbol due to a misprint.
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