Analysis of previous microscopic calculations for second 0+ state in 12C in terms of 3-alpha particle Bose-condensed state
Abstract
The wave function of the second 0+ state of 12C which was obtained long time ago by solving the microscopic 3α problem is shown to be almost completely equivalent to the wave function of the 3α condensed state which has been proposed recently by the present authors. This equivalence of the wave functions is shown to hold in two cases where different effective two-nucleon forces are adopted. This finding gives strong support for interpreting the second 0+ state of 12C which is the key state for the synthesis of 12C in stars ('Hoyle' state), and which is one of the typical mysterious 0+ states in light nuclei, as a gas-like structure of three α particles, Bose-condensed into an identical s-wave function.
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