The metastable phase of solid4He and the possible role of point defects in its destabilization are investigated by the introduction of a trial function of the shadow class with an explicit symmetrical kernel. This is a trial function that ensures the possible exchange of atoms and the delocalization of atoms and defects in a very effective manner. We show that the formation energy for vacancies is equal to zero at a pressure Pc=20±2 atm, which is in excellent agreement with the experimental observation. The pressure at which a self-interstitial also has a formation energy equal to zero, is in agreement with the density where vacancies have the same property. Formation energies of a3He interstitial or a substitutional impurity were estimated. Other properties of interest for systems made from4He atoms are estimated and compared with results from the literature whenever available.

中文翻译：

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亚稳态固体 4He 和点缺陷的可能作用

通过引入具有显式对称核的阴影类试验函数，研究了solid4He 的亚稳态和点缺陷在其失稳中的可能作用。这是一个试验函数，它以非常有效的方式确保原子的可能交换以及原子和缺陷的离域。我们表明，在压力 Pc=20±2 atm 下，空位的形成能为零，这与实验观察非常吻合。自填隙体的形成能也为零时的压力与空位具有相同性质的密度一致。估计了 a3He 间隙或替代杂质的形成能。