In-medium similarity renormalization group approach to the nuclear many-body problem

Heiko Hergert; Scott K. Bogner; Justin G. Lietz; Titus D. Morris; Samuel J. Novario; Nathan M. Parzuchowski; Fei Yuan

doi:10.1007/978-3-319-53336-0_10

In-medium similarity renormalization group approach to the nuclear many-body problem

Heiko Hergert
, Scott K. Bogner
, Justin G. Lietz
, Titus D. Morris
, Samuel J. Novario
, Nathan M. Parzuchowski
, Fei Yuan

Quantum Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

25 Scopus citations

Abstract

We present a pedagogical discussion of Similarity Renormalization Group (SRG) methods, in particular the In-Medium SRG (IMSRG) approach for solving the nuclear many-body problem. These methods use continuous unitary transformations to evolve the nuclear Hamiltonian to a desired shape. The IMSRG, in particular, is used to decouple the ground state from all excitations and solve the many-body Schrödinger equation. We discuss the IMSRG formalism as well as its numerical implementation, and use the method to study the pairing model and infinite neutron matter. We compare our results with those of Coupled cluster theory (Chap. 8), Configuration-Interaction Monte Carlo (Chap. 9), and the Self-Consistent Green’s Function approach discussed in Chap. 11 The chapter concludes with an expanded overview of current research directions, and a look ahead at upcoming developments.

Original language	English
Title of host publication	Lecture Notes in Physics
Publisher	Springer Verlag
Pages	477-570
Number of pages	94
DOIs	https://doi.org/10.1007/978-3-319-53336-0_10
State	Published - 2017

Publication series

Name	Lecture Notes in Physics
Volume	936
ISSN (Print)	0075-8450

Funding

The preparation of this chapter was supported in part by NSF Grant No. PHY-1404159 and the NUCLEI SciDAC Collaboration under the U.S. Department of Energy Grant No. DE-SC0008511. H. H. gratefully acknowledges the National Superconducting Cyclotron Laboratory (NSCL)/Facility for Rare Isotope Beams (FRIB) and Michigan State University (MSU) for startup support during the preparation of this work. Computing resources were provided by the MSU High-Performance Computing Center (HPCC)/Institute for Cyber-Enabled Research (iCER).

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10.1007/978-3-319-53336-0_10

Cite this

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title = "In-medium similarity renormalization group approach to the nuclear many-body problem",

abstract = "We present a pedagogical discussion of Similarity Renormalization Group (SRG) methods, in particular the In-Medium SRG (IMSRG) approach for solving the nuclear many-body problem. These methods use continuous unitary transformations to evolve the nuclear Hamiltonian to a desired shape. The IMSRG, in particular, is used to decouple the ground state from all excitations and solve the many-body Schr{\"o}dinger equation. We discuss the IMSRG formalism as well as its numerical implementation, and use the method to study the pairing model and infinite neutron matter. We compare our results with those of Coupled cluster theory (Chap. 8), Configuration-Interaction Monte Carlo (Chap. 9), and the Self-Consistent Green{\textquoteright}s Function approach discussed in Chap. 11 The chapter concludes with an expanded overview of current research directions, and a look ahead at upcoming developments.",

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AU - Hergert, Heiko

AU - Bogner, Scott K.

AU - Lietz, Justin G.

AU - Morris, Titus D.

AU - Novario, Samuel J.

AU - Parzuchowski, Nathan M.

AU - Yuan, Fei

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AB - We present a pedagogical discussion of Similarity Renormalization Group (SRG) methods, in particular the In-Medium SRG (IMSRG) approach for solving the nuclear many-body problem. These methods use continuous unitary transformations to evolve the nuclear Hamiltonian to a desired shape. The IMSRG, in particular, is used to decouple the ground state from all excitations and solve the many-body Schrödinger equation. We discuss the IMSRG formalism as well as its numerical implementation, and use the method to study the pairing model and infinite neutron matter. We compare our results with those of Coupled cluster theory (Chap. 8), Configuration-Interaction Monte Carlo (Chap. 9), and the Self-Consistent Green’s Function approach discussed in Chap. 11 The chapter concludes with an expanded overview of current research directions, and a look ahead at upcoming developments.

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In-medium similarity renormalization group approach to the nuclear many-body problem

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