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Nuclear Matrix Elements for Tests of Local Lorentz Invariance Violation
B A Brown1, G F Bertsch2, L M Robledo3
1Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824-1321, USA.
Physical Review Letters
|December 9, 2017
Summary
Nuclear matrix elements are crucial for atomic physics experiments. Many-body correlations significantly suppress momentum matrix elements, unlike spatial quadrupole elements.
Area of Science:
- Nuclear physics
- Atomic physics
- Quantum mechanics
Background:
- Nuclear matrix elements are vital for interpreting precision atomic physics experiments.
- These experiments probe local Lorentz and CPT symmetry violations and search for new spin-dependent forces.
Purpose of the Study:
- To calculate momentum matrix elements for specific isotopes using advanced nuclear models.
- To investigate the impact of many-body correlations on these matrix elements.
Main Methods:
- Configuration-interaction nuclear shell model
- Self-consistent mean-field theory
- Calculation of momentum matrix elements for Neon-21, Sodium-23, Cesium-133, Ytterbium-173, and Mercury-201.
Main Results:
- Momentum matrix elements are found to be strongly suppressed.
- This suppression is attributed to many-body correlations within the nucleus.
- Results contrast with the known enhancement of spatial quadrupole nuclear matrix elements.
Conclusions:
- Many-body correlations play a significant role in nuclear structure and properties.
- Understanding these correlations is essential for accurate interpretation of atomic physics experiments.
- The findings provide crucial data for theoretical and experimental nuclear and atomic physics research.
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