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Analysis of previous microscopic calculations for the second<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math>state in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow /><mml:mrow><mml:mn>12</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:math>in terms…
The wave function of the second ${0}^{+}$ state of ${}^{12}\mathrm{C},$ which was obtained a long time ago by solving the microscopic $3\ensuremath{\alpha}$ problem, is shown to be almost completely equivalent to the wave function of the $3\ensuremath{\alpha}$ condensed state, which has been proposed recently by the present authors. This equivalence …