Some review articles on many-body methods in low-energy nuclear physics

Ab initio methods

• H. Hergert
  A guided tour of ab initio nuclear many-body theory
  Front. Phys. 8, 379 (2020) article

Shell model (SM)

• E. Caurier
  Shell model and nuclear structure
  Prog. Part. Nucl. Phys. 59, 226 (2007) article

• E. Caurier, G. Martinez-Pinedo, F. Nowacki, A. Poves, and A. P. Zuker
  The shell model as a unified view of nuclear structure
  Rev. Mod. Phys. 77, 427 (2005) article

• B. A. Brown
  The nuclear shell model towards the drip lines
  Prog. Part. Nucl. Phys. 47, 517 (2001) article

• B. A. Brown, and B. H. Wildenthal
  Status of the nuclear shell model
  Ann. Rev. Nucl. Part. Sci. 38, 29 (1988) article

Continuum shell model (CSM) and shell model embedded in the continuum (SMEC)

• A. Volya, and V. Zelevinsky
  Continuum shell model
  Phys. Rev. C 74, 064314 (2006) article

• J. Okołowicz, M. Płoszajczak, and I. Rotter
  Dynamics of quantum systems embedded in a continuum
  Phys. Rep. 374, 271 (2003) article

• I. Rotter
  A continuum shell model for the open quantum mechanical nuclear system
  Rep. Prog. Phys. 54, 635 (1991) article

Gamow shell model (GSM)

• N. Michel, W. Nazarewicz, M. Płoszajczak, and T. Vertse
  Shell model in the complex energy plane
  J. Phys. G 36, 013101 (2009) article

Density matrix renormalization group (DMRG)

• S. Pittel, and B. Thakur
  The density matrix renormalization group and the nuclear shell model
  Rev. Mex. Fis. 55, 108 (2009) article

• U. Schollwöck
  The density-matrix renormalization group
  Rev. Mod. Phys. 77, 259 (2005) article

• J. Dukelsky, and S. Pittel
  The density matrix renormalization group for finite Fermi systems
  Rep. Prog. Phys. 67, 513 (2004) article

• S. Pittel, and J. Dukelsky
  The density matrix renormalization group in nuclear physics: a status report
  Rev. Mex. Fis. 49 Supl. 4, 82 (2003) article

• S. Pittel, and J. Dukelsky
  The density matrix renormalization group: a new approach to large-scale nuclear structure calculations
  Rev. Mex. Fis. 47 Supl. 2, 42 (2001) article

Shell model Monte Carlo (SMMC)

• T. Otsuka, M. Honma, T. Mizusaki, N. Shimizu, and Y. Utsuno
  Monte Carlo shell model for atomic nuclei
  Prog. Part. Nucl. Phys. 47, 319 (2001) article

• S. E. Koonin, D. J. Dean, and K. Langanke
  Shell model Monte Carlo methods
  Phys. Rep. 278, 1 (1997) article

Coupled cluster theory (CCT)

• G. Hagen, T. Papenbrock, M. Hjorth-Jensen, and D. J. Dean
  Coupled-cluster computations of atomic nuclei
  Rep. Prog. Phys. 77, 096302 (2014) article

• R. J. Bartlett, and M. Musial
  Coupled-cluster theory in quantum chemistry
  Rev. Mod. Phys. 79, 291 (2007) article

• H. Kümmel, K. H. Lührmann, and J. G. Zabolitzky
  Many-fermion theory in $\exp S$-(or coupled cluster) form
  Phys. Rep. 36, 1 (1978) article

In-medium similarity renormalization group (IM-SRG)

• H. Hergert, S. K. Bogner, T. D. Morris, A. Schwenk, and K. Tsukiyama
  The in-medium similarity renormalization group: A novel ab initio method for nuclei
  Phys. Rep. 621, 165 (2016) article

Quantum Monte Carlo (QMC)

• J. Carlson, S. Gandolfi, F. Pederiva, S. C. Pieper, R. Schiavilla, K. E. Schmidt, and R. B. Wiringa
  Quantum Monte Carlo methods for nuclear physics
  Rev. Mod. Phys. 87, 1067 (2015) article

Fermionic molecular dynamics (FMD)

• H. Feldmeier, and J. Schnack
  Molecular dynamics for fermions
  Rev. Mod. Phys. 72, 655 (2000) article

No-core shell model (NCSM)

• I. Stetcu, and J. Rotureau
  Effective interactions and operators in no-core shell model
  Prog. Part. Nucl. Phys. 69, 182 (2013) article

• B. R. Barrett, P. Navrátil, and J. P. Vary
  Ab initio no core shell model
  Prog. Part. Nucl. Phys. 69, 131 (2013) article

Self-consistent Green’s function (SCGF)

• W. H. Dickhoff, and C. Barbieri
  Self-consistent Green’s function method for nuclei and nuclear matter
  Prog. Part. Nucl. Phys. 52, 377 (2004) article

Lattice effective field theory

• D. Lee
  Lattice simulations for few- and many-body systems
  Prog. Part. Nucl. Phys. 63, 117 (2009) article

Few-body ab initio methods

• W. Leidemann, and G. Orlandini
  Modern ab initio approaches and applications in few-nucleon physics with $A \geq 4$
  Prog. Part. Nucl. Phys. 68, 158 (2013) article

Symmetry-guided no-core shell model methods

• K. D. Launey, T. Dytrych, and J. P. Draayer
  Symmetry-guided large-scale shell-model theory
  Prog. Part. Nucl. Phys. 89, 101 (2016) article

Nuclear field theory (NFT)

• P. F. Bortignon, R. A. Broglia, D. R. Bes, and R. Liotta
  Nuclear Field Theory
  Phys. Rep. 30, 305 (1977) article

Relativistic mean field (RMF)

• P. Ring
  Relativistic mean field theory in finite nuclei
  Prog. Part. Nucl. Phys. 37, 193 (1996) article

Density functional theory (DFT)

• J. E. Drut, R. J. Furnstahl, and L. Platter
  Toward ab initio density functional theory for nuclei
  Prog. Part. Nucl. Phys. 64, 120 (2010) article