Maria Goeppert Mayer helped explain nuclear magic numbers using a nuclear shell model with strong spin-orbit coupling. Coupling a nucleon's orbital angular momentum and spin gives levels with and different energies. A large splitting changes the order and capacity of the shells, producing closures that a simple central potential alone fails to explain. For example, lowering the member of an level supplies eight states, accounting for the step from the closure at to the one at .[ref]

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Maria Goeppert Mayer was a German-American physicist who made significant contributions to the field of nuclear physics and is best known for her development of the shell nuclear model. She was born on June 28, 1906, in Kattowitz, which was then part of Germany (now Katowice, Poland), and she passed away on February 20, 1972, in San Diego, California.