Effects due to the continuum on shell corrections at finite temperatures

Abstract
Temperature dependent shell corrections are calculated taking into account the continuum spectrum of a finite depth mean field potential. The effect of the continuum is split up into a discret term which includes Gamow resonances and an integral along a contour in the complex energy plane. The resonances appear in the formalism in the same manner as bound states and at low temperatures they give the main part of the contribution due to the continuum. The method is applied to the particular case of 208Pb. The temperature for which the shell corrections are washed out completly is estimated at T≈2.5 MeV.