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Effective nucleon mass in deformed nuclei

Donati1, Dossing, Shimizu

  • 1Dipartimento di Fisica, Universita di Milano and INFN, Sezione di Milano, via Celoria 16, I-20133 Milano and The Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen O, Denmark.

Physical Review Letters
|September 16, 2000
PubMed
Summary
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Vibrational coupling in rotating nuclei shifts single-particle levels, increasing density and decreasing state populations. This phenomenon is described by an effective omega mass, which varies with rotational frequency.

Area of Science:

  • Nuclear Physics
  • Quantum Mechanics

Background:

  • Deformed rotating nuclei exhibit complex behavior due to nucleon interactions.
  • The Fermi energy is a critical parameter in nuclear structure, influencing level density and stability.

Purpose of the Study:

  • To investigate the effects of vibrational coupling on nucleons near the Fermi energy in deformed rotating nuclei.
  • To quantify the impact on single-particle energy levels, level density, and spectroscopic factors.

Main Methods:

  • Theoretical calculations were performed for the specific case of the 168Yb nucleus.
  • The study analyzed the coupling of vibrations to nucleons in energy levels close to the Fermi energy.

Main Results:

  • Observed shifts of single-particle levels by approximately 0.5 MeV towards the Fermi energy, increasing level density.

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  • Found a single-particle state depopulation of about 30%, leading to spectroscopic factors around 0.7.
  • Introduced an effective omega mass (m(omega)), approximately 40% larger than the bare nucleon mass, to describe these effects.

    • Conclusions:

    • The effective omega mass shows strong dependence on rotational frequency.
    • m(omega) approaches the bare nucleon mass at high rotational frequencies (Planck's over 2piomega(rot) approximately 0.5-0.6 MeV).
    • Vibrational coupling significantly influences nuclear properties in deformed rotating systems.