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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses

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Published on: June 7, 2018

In-medium similarity renormalization group for nuclei.

K Tsukiyama¹, S K Bogner, A Schwenk

¹Department of Physics, University of Tokyo, Hongo, Tokyo, Japan.

Physical Review Letters

|June 28, 2011

Summary

We developed a novel in-medium similarity renormalization group (SRG) method to diagonalize nuclear Hamiltonians. This nonperturbative approach accurately calculates energies for nuclei like 4He, 16O, and 40Ca, matching coupled-cluster results.

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Area of Science:

Nuclear physics
Quantum many-body theory
Computational physics

Background:

Traditional methods for nuclear structure calculations are computationally intensive.
Similarity Renormalization Group (SRG) techniques are effective for simplifying Hamiltonians in free space.
Extending SRG to 'in-medium' nuclear systems presents significant theoretical challenges.

Purpose of the Study:

To introduce a new ab initio method for diagonalizing nuclear many-body Hamiltonians.
To adapt SRG techniques for direct application within the A-body nuclear system ('in medium').
To enable the construction of effective Hamiltonians and operators for nuclear structure problems.

Main Methods:

Utilizing similarity renormalization group (SRG) evolution directly within the A-body nuclear system.
Employing normal-ordering techniques to approximate the evolution of multi-body operators using two-body machinery.
A nonperturbative approach applicable to various nuclear systems, from closed-shell nuclei to valence-shell interactions.

Main Results:

Demonstrated the 'in-medium' SRG method's capability to continuously diagonalize nuclear many-body Hamiltonians.
Achieved accurate energy calculations for light and medium-mass nuclei (4He, 16O, 40Ca).
Obtained results with accuracies comparable to established coupled-cluster calculations.

Conclusions:

The developed in-medium SRG method provides a powerful and versatile tool for nuclear structure calculations.
This nonperturbative approach offers a viable alternative to traditional methods, especially for complex nuclear systems.
The method's accuracy and adaptability pave the way for future investigations in nuclear physics.