The effect of interaction between hyperons on the moment of inertia of proto neutron star (PNS) PSR J0740+6620 is examined with relativistic mean field theory considering the octet of baryons. The nucleon coupling constant GM1 is used and the temperature of the PNS is chosen as T=20\documentclass[12pt]{minimal}
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\begin{document}$$T=20$$\end{document} MeV. Under the constraint of the mass M=2.08M⊙\documentclass[12pt]{minimal}
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\begin{document}$$M=2.08 M_{\odot }$$\end{document}, considering the interaction between hyperons, the radius of the PNS PSR J0740+6620 is reduced by 0.08% from R=14.518\documentclass[12pt]{minimal}
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\begin{document}$$R=14.518$$\end{document} km to R=14.507\documentclass[12pt]{minimal}
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\begin{document}$$R=14.507$$\end{document} km and the moment of inertia of the PNS PSR J0740+6620 is reduced by about 0.49% from I=2.460×1045\documentclass[12pt]{minimal}
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\begin{document}$$I=2.460 \times 10^{45}$$\end{document} g cm2\documentclass[12pt]{minimal}
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\begin{document}$$^{2}$$\end{document} to I=2.448×1045\documentclass[12pt]{minimal}
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\begin{document}$$I=2.448 \times 10^{45}$$\end{document} g cm2\documentclass[12pt]{minimal}
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\begin{document}$$^{2}$$\end{document}, respectively. The moment of inertia of the PNS has a peak with the change of central energy density εc\documentclass[12pt]{minimal}
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\begin{document}$$\varepsilon _{c}$$\end{document}, mass M or radius R. Considering the interaction between hyperons, the value of the moment of inertia I of the PNS corresponding to this peak will decrease.