This is a preview and has not been published.

A Comparison between Ericson's Formulae Results and Experimental Data Using New Formulae of Single Particle Level Density


  • Hadeer Kadhim Mohamed Department of Physics, College of Science for Women, University of Baghdad, Baghdad, Iraq.
  • Ali Dawoud Salloum Department of Physics, College of Science for Women, University of Baghdad, Baghdad, Iraq.



Exciton model, induced nuclear reaction, Level density, Pre-compound nucleus, Pre-equilibrium reactions.


The partial level density PLD of pre-equilibrium reactions that are described by Ericson’s formula has been studied using different formulae of single particle level density . The parameter  was used from the equidistant spacing model (ESM) model and the non- equidistant spacing model (non-ESM) and another formula of  are derived from the relation between  and level density parameter . The formulae used to derive  are the Roher formula, Egidy formula, Yukawa formula, and Thomas –Fermi formula. The partial level density results that depend on  from the Thomas-Fermi formula show a good agreement with the experimental data.


Download data is not yet available.


Pandit D, Bhattacharaya S, Mondal D, Roy P, Banerjee K, Mukhopadhyay S et al. Experimental signature of collective enhancement in nuclear level density. Phy Rev C. 2018; 97: 041301(R) DOI: .

Ingeberg V W, Jones P, Msebi L, Siem S, Wiedeking M, Avaa A A. Nuclear Level Density and γ-ray Strength Function of 63Ni. Phy Rev C. 2022: 054315.›pdf›PhysRevC.106.054315

.Okuducu S, Aktı N N, Akbas S, Kansu1 M O, Nuclear Level Density Parameters of 203−209Pb and 206−210Bi Deformed Target Isotopes Used on Accelerator-Driven Systems in Collective Excitation Modes. Sci Technol Nucl. 2012; 2012: 1-9. .

Zelevinsky V, Karampagia S. Nuclear level density and related physics. EPJ Web Conf. 2018; 194: 01001. .

Alwan T A, Hamed B S. Study the Nuclear Structure of Some Even-Even Ca Isotopes Using the Microscopic Theory. Baghdad Sci J. 2023; 20(1): 235-244. .

Mamun Md A. Thermal Properties of Nuclei and Their Level Densities. M.Sc. Ohio. Ohio University. 2015.

Bucurescu D, Egidy T. Systematic of nuclear level density parameters. J Phys G: Nucl Part Phys. 2005; 31(10): S1675. .

Rahmatinejad A, Bezbakh A N, Shneidman T M, Adamian G, Antonenko N V, Jachimowicz P, et al. Level-density parameters in super heavy nuclei. Phys Rev C. 2021; 103(3): 1-10. .

Roy S, Mukhopadhyay S, Aggarwal M, Pandit D, Rana T K, Kundu S, et al. Excitation energy and angular momentum dependence of the nuclear level density parameter around A=110. Phys Rev C. 2021; 103: 024602.

Salloum A D, Mohammed, J F Theeban A M. Effect of energy and mass number on energy transition rates in pre-equilibrium region. Dig J Nanomater Bios. 2018, 13(4): 1055-1061.

Abdulla A M, Salloum A D. A Comparison Between the Theoretical Cross Section Based on the Partial Level Density Formulae Calculated by the Exciton Model with the Experimental Data for (_79^197)Au nucleus , Baghdad Sci J. 2020; 18(1): 2021. .

Karampagia S, Zelevinsky V. Nuclear shell model and level density. Int J Mod Phys. 29(6): 2030005

Jasim M H, Dakhil Z A, Ahmed R S. The nuclear level density parameter. Iraq J Phy. 2013. 11(20): 35-46. .

Magner A G, Sanzhur A I, Fedotkin S N, Levon A I, Shlomo S. Level density within a micro-macroscopic approach. Nucl Phys A. 2022; 1021: 122423: .

Shil R, Banerjee K, Roy P, Sadhukhan J, Rana T K, Mukherjee G et al. Isospin dependence of nuclear level density at A≈ 120 mass region. Phys Lett B. 2022; 831: 1-9. .