[PERSON]  
1 State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China; [EMAIL_ADDRESS] (M.R.J. ; [EMAIL_ADDRESS] (L.L. ); [EMAIL_ADDRESS] (G.W. ); [EMAIL_ADDRESS] (Z.W. ); [EMAIL_ADDRESS] (D.W.); [EMAIL_ADDRESS] (H.S. ); [EMAIL_ADDRESS] (S.Q. ); [EMAIL_ADDRESS] (F.W.J. ; [EMAIL_ADDRESS] (T.E. ); [EMAIL_ADDRESS] (T.E. ); [EMAIL_ADDRESS] (F.Z. ); [EMAIL_ADDRESS] (K.Z. ); [EMAIL_ADDRESS] (N.Y.); [EMAIL_ADDRESS] (S.H.) [PERSON]  
1 State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China; [EMAIL_ADDRESS] (M.R.J. ; [EMAIL_ADDRESS] (L.L. ); [EMAIL_ADDRESS] (G.W. ); [EMAIL_ADDRESS] (Z.W. ); [EMAIL_ADDRESS] (D.W.); [EMAIL_ADDRESS] (H.S. ); [EMAIL_ADDRESS] (S.Q. ); [EMAIL_ADDRESS] (F.W.J. ; [EMAIL_ADDRESS] (F.W.J. ; [EMAIL_ADDRESS] (T.E. ); [EMAIL_ADDRESS] (T.E. ); [EMAIL_ADDRESS] (F.Z. ); [EMAIL_ADDRESS] (K.Z. ); [EMAIL_ADDRESS] (N.Y.); [EMAIL_ADDRESS] (S.H.) [PERSON]  
1 State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 100871, China; [EMAIL_ADDRESS] (M.R.J. ; [EMAIL_ADDRESS] (L.L. ); [EMAIL_ADDRESS] (G.W. ); [EMAIL_ADDRESS] (Z.W. ); [EMAIL_ADDRESS] (D.W.); [EMAIL_ADDRESS] (H.S. ); [EMAIL_ADDRESS] (S.Q. ); [EMAIL_ADDRESS] (F.W.J. ; [EMAIL_ADDRESS] (T.E. ); [EMAIL_ADDRESS] (T.E. ); [EMAIL_ADDRESS] (F.Z. ); [EMAIL_ADDRESS] (K.Z. ); [EMAIL_ADDRESS] (N.Y.); [EMAIL_ADDRESS] (S.H.) [PERSON]  
1 State Key Laboratory of Nuclear Physics and Technology, School of Physics, Peking University, Beijing 1 low-cost, making them suitable for replacing the helium liquefaction system in industrial settings. Nevertheless, the cooling capacity of the cryocooler is limited, which requires a higher \(Q_{0}\) for the superconducting cavities. In recent years, Nb\({}_{3}\)Sn has been developed as a promising alternative material for superconducting cavities, offering the potential for higher \(Q_{0}\) and \(E_{acc}\) compared to Nb cavities [11]. The critical temperature (\(T_{c}\)) of Nb\({}_{3}\)Sn is almost twice that of Nb. The surface resistance (\(R_{s}\)) of Nb\({}_{3}\)Sn at 4 K is of the same order of magnitude as that of Nb at 2 K. This implies that the Nb\({}_{3}\)Sn film cavity can operate at 4 K or even higher temperatures, making it possible to cool the superconducting cavity by thermal conduction using commercial cryocoolers. A vapor diffusion method has been under development since the 1970s [12; 13; 14] and is the most effective method to prepare Nb\({}_{3}\)Sn film for a Nb cavity. The institutions that have worked on Nb\({}_{3}\)Sn SRF cavities include Cornell University (New York, NY, USA) [15; 16; 17], Fermi National Accelerator Laboratory (FNAL, Batavia, IL, USA) [18], the Thomas Jefferson National Accelerator Facility (Jefferson Lab, Newport News, VA, USA) [11], the Institute of Modern Physics (IMP, Lanzhou, China) [19; 20], the Institute of High Energy Physics (IHEP, Beijing, China) [21], Shanghai Advanced Research Institute (SARI, Shanghai, China) [22], Peking University (PKU, Beijing, China) [23], the High Energy Accelerator Research Organization (KEK, Tsukuba, Japan) [24], etc. FNAL fabricated high-performance Nb\({}_{3}\)Sn cavities with different frequencies. The 1.3 GHz single-cell cavity coated in FNAL reached a maximum \(E_{acc}\) of 24 MV/m when tested in 4.4 K LHe, and \(Q_{0}\) remained above 1 \(\times\) 10\({}^{10}\) at an \(E_{acc}\) of 20 MV/m [18]. Conduction-cooled single-cell SRF cavities at different frequencies have been demonstrated over the past few years. Researchers at FNAL, Lab, and Cornell University used different types of cryocoolers and methods to connect the cryocooler's 4 K stage to the cavity, achieving CW operation of the superconducting cavity at 650 MHz [25], 952.6 MHz [26], 1.5 GHz [27], and 2.6 GHz [28]. [PERSON] [26] et al.