标题： 对第二$0^+$状态在$^{12}$C 中的先前显微计算分析，以3个alpha粒子玻色凝聚态为基础 显示英文标题

标题： Analysis of previous microscopic calculations for second $0^+$ state in $^{12}$C in terms of 3-alpha particle Bose-condensed state

摘要： 该第二$0^+$状态的$^{12}$C 的波函数，早在很久以前通过求解微观 3$\alpha$问题得到，被证明几乎完全等同于最近由本文作者提出的 3$\alpha$凝聚态的波函数。 这种波函数的等价性在采用不同有效两核子力的两种情况下都被证明成立。 这一发现为将$0^+$状态的$^{12}$C 解释为恒星中 $^{12}$C 合成的关键状态（“Hoyle”状态），以及将其视为轻核中典型的神秘$0^+$状态，作为三个$\alpha$粒子的类气体结构，玻色-爱因斯坦凝聚到相同的 s 波函数提供了有力支持。 显示英文摘要

摘要： The wave function of the second $0^+$ state of $^{12}$C which was obtained long time ago by solving the microscopic 3$\alpha$ problem is shown to be almost completely equivalent to the wave function of the 3$\alpha$ 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 $^{12}$C which is the key state for the synthesis of $^{12}$C in stars ('Hoyle' state), and which is one of the typical mysterious $0^+$ states in light nuclei, as a gas-like structure of three $\alpha$ particles, Bose-condensed into an identical s-wave function.