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Calculation of nuclear level density parameter as a function of tmperature and mass number

Abstract Nuclear level density is one of the most important concepts in nuclear physics; basically, it is the key in dealing with nuclear statistical problems. This quantity plays an essential role in the statistical calculation of reactor physics, astrophysics, researches in the average energy of heavyion collision and calculations related to neutron evaporation and other applications. This quantity can be calculated analytically by the partition function method and saddle point conditions. Nuclear level density parameter is an important parameter in the calculation of nuclear level density. In this study, this parameter was calculated according to the way in which the limited size of nucleus, continuous states, layer effects, temperature dependence of effective mass related to frequency and momentum and the change of these effects with temperature were considered. To this end, improved Thomas Fermi approximation as a function of temperature was used. Also, by using this approximation, for continuous effects in the zero temperature, the nuclear level density parameter was calculated as a function of the mass number.