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Shell correction energy for bubble nuclei

Yu1, Bulgac, Magierski

  • 1Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA.

Physical Review Letters
|October 4, 2000
PubMed
Summary
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Bubble positioning in many-fermion systems has minimal impact on energy terms. Off-center bubble placement is often preferred, leading to low-lying collective states in these quantum systems.

Area of Science:

  • Nuclear physics
  • Quantum many-body systems

Background:

  • Liquid drop expansion models describe nuclear energy.
  • Shell effects significantly influence ground state energy in many-fermion systems.
  • Bubble formation is a phenomenon studied in nuclear structure.

Purpose of the Study:

  • To investigate the impact of bubble positioning on the total energy of many-fermion systems.
  • To determine the preferred location of a bubble within such systems.
  • To explore the consequences of bubble displacement on collective states.

Main Methods:

  • Analysis of liquid drop expansion terms (volume, surface, curvature).
  • Consideration of Coulomb effects and shell effects on ground state energy.
  • Examination of the potential energy surface as a function of bubble displacement.

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Main Results:

  • Bubble position does not influence volume, surface, or curvature energy terms.
  • The potential energy surface is relatively shallow concerning bubble displacement.
  • Off-center positions are generally favored for bubbles in these systems.
  • Systems with bubbles exhibit bands of low-lying collective states linked to displacements.

Conclusions:

  • Bubble location is not a critical factor for bulk energy contributions in many-fermion systems.
  • The energetic preference for off-center bubble placement is a key finding.
  • The existence of low-lying collective states is a significant characteristic of systems with bubbles.