Spectroscopic properties of nuclear skyrme energy density functionals
D Tarpanov1, J Dobaczewski2, J Toivanen3
1Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Pasteura 5, PL-02-093 Warsaw, Poland and Institute for Nuclear Research and Nuclear Energy, 1784 Sofia, Bulgaria.
Improving theoretical nuclear single-particle energies (SPEs) requires accounting for particle-vibration coupling (PVC) corrections. While PVC improves agreement with empirical data, discrepancies indicate that nuclear mean fields are the primary source of error.
Area of Science:
- Nuclear Physics
- Theoretical Physics
- Quantum Mechanics
Background:
- Nuclear single-particle energies (SPEs) are crucial for understanding nuclear structure.
- Empirical SPEs are derived from spectroscopic data of neighboring odd-mass nuclei.
- Theoretical SPEs require corrections, such as particle-vibration coupling (PVC), to match observations.
Purpose of the Study:
- To investigate methods for improving the agreement between theoretical and empirical nuclear single-particle energies.
- To determine particle-vibration coupling (PVC) corrections in a self-consistent manner.
- To assess the impact of PVC corrections on the accuracy of theoretical SPEs.
Main Methods:
- Calculated particle-vibration coupling (PVC) corrections self-consistently.
- Adjusted theoretical single-particle energies (SPEs), including PVC corrections, to empirical data.
- Compared the adjusted theoretical SPEs with experimental spectroscopic data.
Main Results:
- The inclusion of self-consistent particle-vibration coupling (PVC) corrections generally improves the agreement between theoretical and empirical nuclear single-particle energies (SPEs).
- Despite improvements from PVC corrections, significant discrepancies between theoretical and observed SPEs persist.
- The study found that adjustments to SPEs, even with PVC corrections, did not fully resolve the differences.
Conclusions:
- The primary source of disagreement between theoretical and empirical nuclear single-particle energies lies in the underlying nuclear mean fields.
- Particle-vibration coupling (PVC) corrections are important but do not fully account for the observed discrepancies.
- Further advancements in nuclear mean-field theories are necessary to achieve better agreement with experimental data.
Related Concept Videos
Nuclear Binding Energy
Atomic Nuclei: Nuclear Spin State Population Distribution
Atomic Radii and Effective Nuclear Charge
The Energies of Atomic Orbitals
Atomic Spectroscopy: Absorption, Emission, and Fluorescence
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are...


