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In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
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Magnetic Dipole Transition in ^{48}Ca.

B Acharya1, B S Hu1,2, S Bacca3,4

  • 1Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA.

Physical Review Letters
|June 21, 2024
PubMed
Summary
This summary is machine-generated.

This study resolves discrepancies in the magnetic dipole transition strength of Calcium-48 (B(M1)) using ab initio calculations. Our findings align with some experiments, offering new insights into nuclear spin flips.

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Area of Science:

  • Nuclear Physics
  • Quantum Chromodynamics
  • Computational Physics

Background:

  • The magnetic dipole transition strength (B(M1)) in ^{48}Ca is crucial for understanding nuclear structure and spin dynamics.
  • Experimental measurements of B(M1) in ^{48}Ca show significant discrepancies, hindering a clear understanding.
  • A dominant resonant state at 10.23 MeV excitation energy significantly influences the B(M1) value.

Purpose of the Study:

  • To resolve experimental disagreements regarding the B(M1) strength in ^{48}Ca.
  • To provide accurate theoretical predictions for B(M1) using advanced computational methods.
  • To investigate the impact of two-body currents and continuum effects on B(M1).

Main Methods:

  • Ab initio computations based on chiral effective field theory.
  • Calculation of B(M1) transition strengths for the 0^{+}→1^{+} transition.
  • Validation through computation of magnetic moments in ^{47,49}Ca and benchmark calculations in light nuclei.

Main Results:

  • Theoretical B(M1) strength for ^{48}Ca was found to be in the range of 7.0 to 10.2 μ_{N}^{2}.
  • The results are consistent with (γ,n) scattering experiments but differ from (e,e^{'}) and (p,p^{'}) scattering data.
  • Two-body currents did not quench the B(M1) strength, while continuum effects reduced it by approximately 10%.

Conclusions:

  • The ab initio calculations provide a robust theoretical prediction for the B(M1) strength in ^{48}Ca.
  • The findings contribute to a better understanding of nuclear spin flips and resolve experimental ambiguities.
  • The validated computational approach can be applied to other nuclear systems.