Vibrations and potential energy surfaces (with Argonne V18) of4He and3He

A potential energy surface is constructed for3,4He with the two-body Argonne V18 potential. The minimization suggests a semi-rigid asymmetric top structure for4He, where the appropriate pointgroup symmetry is C2. We calculate the Hessian matrix, determining the 6 normal modes of vibration (in the ra...

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Bibliographic Details
Published in:Journal of physics. Conference series 2017-07, Vol.876 (1)
Main Author: Fortunato, Lorenzo
Format: Article
Language:English
Subjects:
Alpha particles
Alpha rays
Hessian matrices
Mathematical analysis
Physics
Potential energy
Vibration mode
Vibrational states
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Summary:A potential energy surface is constructed for3,4He with the two-body Argonne V18 potential. The minimization suggests a semi-rigid asymmetric top structure for4He, where the appropriate pointgroup symmetry is C2. We calculate the Hessian matrix, determining the 6 normal modes of vibration (in the range 300-700 MeV). The breathing mode is found to lie at too high an energy to be observable and the nature of the 02+ excited states of the alpha particle at 20 MeV should probably be sought elsewhere. Similar investigations have been carried out for the A=3 system, finding a planar Cs configuration (scalene triangle) and three excited vibrational states (in the range 600-1900 MeV).
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/876/1/012008