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Nucleus-Dependent Valence-Space Approach to Nuclear Structure.

S R Stroberg1, A Calci1, H Hergert2

  • 1TRIUMF 4004 Wesbrook Mall, Vancouver, British Columbia V6T 2A3, Canada.

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|February 4, 2017
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This study introduces a new nuclear structure calculation method, enabling accurate predictions for ground and excited states across most light and medium nuclei. The approach effectively incorporates three-nucleon forces for improved nuclear modeling.

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Area of Science:

  • Nuclear Physics
  • Computational Physics
  • Quantum Many-Body Theory

Background:

  • Accurate nuclear structure calculations are essential for understanding atomic nuclei.
  • Existing methods often struggle to incorporate complex interactions like three-nucleon forces.
  • The shell model in-medium similarity renormalization group (SM-IMSRG) is a powerful ab initio technique.

Purpose of the Study:

  • To develop a generalized SM-IMSRG approach for calculating nuclear ground and excited states.
  • To enable the inclusion of three-nucleon (3N) forces in valence-space calculations.
  • To extend the applicability of ab initio methods to a wider range of light and medium-mass nuclei.

Main Methods:

  • A nucleus-dependent valence-space approach generalizing SM-IMSRG to an ensemble reference.
  • Utilizes fractionally filled orbitals as a reference, avoiding the need for symmetry restoration.
  • Employs a tailored valence-space Hamiltonian incorporating 3N forces for each nucleus.

Main Results:

  • Predicted ground-state energies for nuclei from carbon to nickel agree with other ab initio methods to within 1%.
  • Demonstrates the necessity of this new approach for achieving convergence in upper p and sd shell nuclei.
  • Successfully addresses the 1+/3+ inversion problem in ^{22}Na and ^{46}V.

Conclusions:

  • The presented nucleus-dependent valence-space approach significantly extends the reach of ab initio nuclear structure calculations.
  • This method accurately captures 3N forces, crucial for reliable nuclear predictions.
  • It provides a robust framework for studying a vast range of light and medium-mass nuclei.