The Effects of Particle Interactions on Nuclear Level Density and Temperature in the sd-space

by :
Alex B.

## Summary

Nuclear temperature, a parameter of the equation for level density as a function of energy that represents the internal chaotic motion of the nucleus, can be graphed as a function of the number of neutrons in the nucleus. These trends are the staggering of the temperatures of odd-neutron and even-neutron nuclei, as well as a minimum temperature value at the number of neutrons equaling the number of protons. This happens in addition to a consistently decreasing "A"-value, or a constant that precedes the exponential function of level density. Separately varying the effect of isospin, we intend to discover what causes the trends that occur in these graphs for nuclei in the sd-space. For both pairing and non-pairing interactions, we hold one interaction constant, while dampening, amplifying, or reversing the effect of the other to various degrees. We hope to eventually find a mathematical model to calculate the level density as a function of energy for any nucleus in order to predict probabilities of nuclear reactions in interstellar environments and power plants.