Effects of single-particle potentials on the level density parameter

Abstract

The new definition of the energy dependence for the level density parameter including collective effects depends strongly on the semi-classical approach. For this method, defining an accurate single-particle potential is of great importance. The effect of the single-particle potential terms, which are central, spinorbit, harmonic oscillator, Woods-Saxon and Coulomb potential, both for spherical and deformed cases, on the level density parameter was investigated by examining the local success of the global parameterizations of eight different combinations of these terms. Among these combinations, the sum of the central, spinorbit, harmonic oscillator and Coulomb potentials, gives the most accurate predictions compared with experimental data. The local selections of the global parameterizations show that the single-particle models, which are based on Woods-Saxon potential as the main term, are more suitable candidates than the models based on harmonic oscillator potential to extrapolate away far from stability. Also it can be concluded that the contribution of the Coulomb interaction, both around the closed and open shells is not neglectable.

Statistical investigation of the angular momentum dependence of the nuclear level density parameter

“…Additionally, the upper panels include projections of these three-dimensional surfaces onto the axes representing excitation energy and total angular momentum. The figures demonstrate that the adjusted values of the nuclear level density parameter, treated as a free parameter, are in good agreement with the calculated values derived from the applied Laplace distribution, as outlined in equation (7).…”

“…This expression is characterized by a peak at the first phonon energy (E 0 ) and a collective amplitude (A c ), achieved without the use of free parameters. Further details are available in [7,9].…”

“…The nuclear level density parameter, being the key input for calculations, is of utmost importance in the formulation of nuclear level density [5]. Nuclear level density parameter is related to the single particle level density in the region of the Fermi energy and is correlated to the mass of the nucleus [6,7]. However, comprehending the dependency of the nuclear level density parameter on excitation energy has been a more challenging aspect over the years [8,9].…”

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“…is the critical temperature and E is a coefficient defined in terms of parameter x which is a scale of the fission capability of a nucleus and is given as Moreover, the asymptotic level density parameter a is used in terms of the single-particle level density at Fermi energy of the nucleus including the shell and pairing corrections [40] ( )…”