Instability of Two-Electron Bubbles and Bubble Formation in Liquid Helium

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Abstract
The energy of a two-electron bubble in liquid He is computed with a correlated electronic wave function. Without correlation the bubble is unstable against decay into two one-electron bubbles; correlation reduces the energy by about ½ eV, but the bubble is still unstable. However, a free electron can be trapped by a one-electron bubble. The resulting metastable bubble will expand and presumably split into two bubbles. Experiments are suggested to test the trapping and splitting hypotheses.

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