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

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

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