Single-Particle Energy Levels Based on the Velocity-Dependent Potential

An effective velocity-dependent nucleon-nuclear potential based upon a relatively realistic $N-N$ interaction has been used in this work. This effective potential has been approximated by the analytically solvable Morse function in a simple way. The neutron energy states characterized by the Morse parameters have been calculated for nuclides with $2\le A^{\frac{1}{3}}\le 7$ using the independent-particle model. The Morse parameters have been expressed as functions of $A$ and $l$. The single-particle energy levels obtained from this work have been compared with the available data and other theoretical and numerical results.