scholarly journals Fixed Points of the Similarity Renormalization Group and the Nuclear Many-Body Problem

2014 ◽  
Vol 55 (8-10) ◽  
pp. 971-975 ◽  
Author(s):  
E. Ruiz Arriola ◽  
S. Szpigel ◽  
V. S. Timóteo
Keyword(s):  
Renormalization Group ◽  
Fixed Points ◽  
Body Problem ◽  
Many Body ◽  
Similarity Renormalization Group

scholarly journals In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem

2017 ◽  
pp. 477-570 ◽  
Author(s):  
Heiko Hergert ◽  
Scott K. Bogner ◽  
Justin G. Lietz ◽  
Titus D. Morris ◽  
Samuel J. Novario ◽  
...  
Keyword(s):  
Renormalization Group ◽  
Body Problem ◽  
Many Body ◽  
Similarity Renormalization Group ◽  
Group Approach ◽  
Renormalization Group Approach

scholarly journals Nonempirical Interactions for the Nuclear Shell Model: An Update

2019 ◽  
Vol 69 (1) ◽  
pp. 307-362 ◽  
Author(s):  
S. Ragnar Stroberg ◽  
Heiko Hergert ◽  
Scott K. Bogner ◽  
Jason D. Holt
Keyword(s):  
Renormalization Group ◽  
Ab Initio ◽  
Shell Model ◽  
Model Parameters ◽  
Nuclear Shell Model ◽  
Many Body ◽  
Similarity Renormalization Group ◽  
Realistic Interaction ◽  
Three Body ◽  
Nuclear Shell

The nuclear shell model has perhaps been the most important conceptual and computational paradigm for the understanding of the structure of atomic nuclei. While the shell model has been used predominantly in a phenomenological context, there have been efforts stretching back more than half a century to derive shell model parameters based on a realistic interaction between nucleons. More recently, several ab initio many-body methods—in particular, many-body perturbation theory, the no-core shell model, the in-medium similarity renormalization group, and coupled-cluster theory—have developed the capability to provide effective shell model Hamiltonians. We provide an update on the status of these methods and investigate the connections between them and their potential strengths and weaknesses, with a particular focus on the in-medium similarity renormalization group approach. Three-body forces are demonstrated to be important for understanding the modifications needed in phenomenological treatments. We then review some applications of these methods to comparisons with recent experimental measurements, and conclude with some remaining challenges in ab initio shell model theory.

scholarly journals Evolving nuclear many-body forces with the similarity renormalization group

2011 ◽  
Vol 83 (3) ◽  
Author(s):  
E. D. Jurgenson ◽  
P. Navrátil ◽  
R. J. Furnstahl
Keyword(s):  
Renormalization Group ◽  
Many Body ◽  
Similarity Renormalization Group ◽  
Body Forces

The Nuclear Many-Body Problem

1980 ◽  
Author(s):  
Peter Ring ◽  
Peter Schuck
Keyword(s):  
Body Problem ◽  
Many Body

Many body dynamics

2018 ◽  
Author(s):  
Joseph F. Boudreau ◽  
Eric S. Swanson
Keyword(s):  
Statistical Mechanics ◽  
Body Problem ◽  
Many Body ◽  
Complex Objects ◽  
Constrained Dynamics ◽  
Gravitational Systems ◽  
Body Dynamics ◽  
System Temperature ◽  
Speed Up ◽  
Gravitating Systems

Specialized techniques for solving the classical many-body problem are explored in the context of simple gases, more complicated gases, and gravitating systems. The chapter starts with a brief review of some important concepts from statistical mechanics and then introduces the classic Verlet method for obtaining the dynamics of many simple particles. The practical problems of setting the system temperature and measuring observables are discussed. The issues associated with simulating systems of complex objects form the next topic. One approach is to implement constrained dynamics, which can be done elegantly with iterative methods. Gravitational systems are introduced next with stress on techniques that are applicable to systems of different scales and to problems with long range forces. A description of the recursive Barnes-Hut algorithm and particle-mesh methods that speed up force calculations close out the chapter.

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