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Dominance of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>J</mml:mi></mml:mrow><mml:mrow><mml:mi>P</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mn /></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>ground states in even-even nuclei from random two-body interactions
Recent calculations using random two-body interactions showed a preponderance of ${J}^{P}{=0}^{+}$ ground states, despite the fact that there is no strong pairing character in the force. We carry out an analysis of a system of identical particles occupying orbits with $j=1/2,$ 3/2, and 5/2 and discuss some general features of …