The cold fission barriers of heavy and superheavy nuclei (Z=80-120) are computed using two macroscopic models, the Yukawa-plus-exponential and the proximity potential. No shell and pairing corrections have been added. Unexpectedly, the barriers are showing two maxima in a wide region of nuclei (Z=96-120, mostly neutron-deficient ones) and various mass and charge asymmetries, lower for lighter nuclei and larger for heavier ones. The rather shallow minimum separating the maxima can reach a depth of 37 keV in the Yukawa-plus-exponential model and 190 keV in the proximity potential model.
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