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Collective and Single-Particle Motion in Beyond Mean Field Approaches.

J Luis Egido1, Marta Borrajo1, Tomás R Rodríguez1

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A new nuclear energy density functional method accurately calculates atomic nuclei properties. This approach considers deformations and rotations, successfully predicting the structure of the semimagic ^{44}S nucleus.

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Area of Science:

  • Nuclear Physics
  • Quantum Mechanics
  • Computational Physics

Background:

  • Understanding atomic nuclei structure is crucial in nuclear physics.
  • Existing methods face challenges in simultaneously describing collective and single-particle nuclear properties.

Purpose of the Study:

  • To introduce a novel nuclear energy density functional method for calculating spectroscopic properties.
  • To simultaneously treat nuclear quadrupole deformations and rotational frequencies.
  • To enable the study of nuclear states with both collective and single-particle characteristics.

Main Methods:

  • Developed a symmetry-conserving configuration mixing framework.
  • Incorporated intrinsic nuclear quadrupole deformations and rotational frequencies as degrees of freedom.
  • Applied the method to calculate the structure of the semimagic ^{44}S nucleus.

Main Results:

  • The novel method achieved excellent quantitative agreement with experimental data for ^{44}S.
  • Results also showed strong agreement with state-of-the-art shell model calculations.
  • Demonstrated the method's capability to study nuclei with mixed collective and single-particle features.

Conclusions:

  • The presented nuclear energy density functional method is a powerful tool for nuclear structure calculations.
  • The simultaneous treatment of deformations and rotations provides a more comprehensive description of nuclear states.
  • The successful application to ^{44}S validates the method's accuracy and potential for future nuclear physics research.