Mechanical analysis of a $\beta=0.09 $ 162.5MHz taper HWR cavity

TL;DR

This paper presents a mechanical analysis of a superconducting half-wave resonator designed for high-current proton and deuteron acceleration, focusing on frequency shifts due to pressure and Lorenz forces, and cavity tuning methods.

Contribution

It provides the first detailed mechanical analysis of a 162.5MHz β=0.09 HWR cavity, including pressure and Lorenz force effects, and cavity tuning strategies.

Findings

Frequency shift due to helium pressure analyzed

Lorenz force impact on cavity deformation studied

Cavity tuning via axial deformation demonstrated

Abstract

One superconducting taper-type half-wave resonator (HWR) with frequency of 162.5MHz, \b{eta} of 0.09 has been developed at Peking University, which is used to accelerate high current proton ($\sim$ 100mA) and $D^{+}$($\sim$ 50mA). The radio frequency (RF) design of the cavity has been accomplished. Herein, we present the mechanical analysis of the cavity which is also an important aspect in superconducting cavity design. The frequency shift caused by bath helium pressure and Lorenz force, and the tuning by deforming the cavity along the beam axis will be analyzed in this paper.