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Converging upper and lower bounds for ground-state energies of atomic nuclei

  • G. P. Kamuntavičius
  • D. Germanas
  • R. K. Kalinauskas
  • S. Mickevičius
  • R. Žemaičinienė
Original Article
  • 43 Downloads

Abstract.

By expanding the wave function in terms of the translationally invariant basis of harmonic oscillator functions, we calculate the converging upper (variational) bound for the energy. It is shown that one can construct lower bounds using the reduced density matrix that corresponds to the upper bound. These lower bounds converge to an exact value with the expansion of the basis. We perform the calculations of both bounds with realistic nucleon-nucleon potential for ground states of the triton and the alpha-particle.

PACS.

21.60.-n Nuclear structure models and methods 21.60.Cs Shell model 21.45.+v Few-body systems 21.10.Dr Binding energies and masses 

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Copyright information

© Società Italiana di Fisica and Springer-Verlag 2005

Authors and Affiliations

  • G. P. Kamuntavičius
    • 1
  • D. Germanas
    • 2
  • R. K. Kalinauskas
    • 2
  • S. Mickevičius
    • 3
  • R. Žemaičinienė
    • 3
  1. 1.Vytautas Magnus UniversityKaunasLithuania
  2. 2.Institute of PhysicsVilniusLithuania
  3. 3.Šiauliai UniversityŠiauliaiLithuania

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