  The effects of the axion field have been widely studied in theoretical
physics, particularly in particle physics. Considering the phase
synchronization and the mean free path of the axion, the bulk of the phase
coherent superconductor is regarded as the weak link region of the Josephson
junction.It is expected that the axion mass influences the London penetration
depth.There is a slight possibility of detecting this effect because the effect
becomes more significant in superconductor with a low carrier density $n_s$.The
differences due to the choice of axion model and the axion mass are discussed.
