The high-resolution X-ray imaging spectrometer of the Hot Universe Baryon Surveyor (HUBS) mission is based on the superconducting transition edge sensor (TES) technology. A TES serves as a thermometer for sensing the temperature change of a microcalorimeter to measure the energy of incident X-rays. In order to achieve high sensitivity, TES needs to operate at temperatures below 100 mK. A combination of a 4 K pre-cooling system and a sub-K cooling system is required to achieve such a low temperature. In this paper, it is proposed to directly obtain the 4 K temperature by a high frequency pulse tube cryocooler (HPTC) for HUBS. The advantages of this technology is compact structure and high reliability, compared with other technologies (for instance, multi-stage Stirling cryocoolers + Joule-Thompson cooler). We have constructed a multi-stage HPTC. The test cooling performance, as well as the design of the cryocooler, existing challenges and proposed solutions will be presented.
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