# The Nuclear Many-Body Problem

@inproceedings{Ring2004TheNM, title={The Nuclear Many-Body Problem}, author={Peter Ring and Peter Schuck and M. R. Strayer}, year={2004} }

The liquid drop model the shell model rotation and single-particle motion nuclear forces the Hartree-Fock method pairing correlations and superfluid nuclei the generalized single-particle model (HFB theory) harmonic vibrations boson expansion methods the generator coordinate method restoration of broken symmetries the time dependent Hartree-Fock method (TDHF) semiclassical methods in nuclear physics. Appendices: angular momentum algebra in the laboratory and the body-fixed system…

## 3,441 Citations

Weak interaction limit for nuclear matter and the time-dependent Hartree-Fock equation

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- 2010

We consider an effective model of nuclear matter including spin and isospin degrees of freedom, described by an N-body Hamiltonian with suitably renormalized two-body and three-body interaction…

Convergence of particle-hole expansions for the description of nuclear correlations

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- 2005

The convergence properties of a multiparticle-multihole (mp-mh) configuration mixing approach whose purpose is to describe ground state correlations in nuclei without particle-number and Pauli…

Symmetry restoration for odd-mass nuclei with a Skyrme energy density functional

- Physics
- 2012

In these proceedings, we report first results for particle-number and angular-momentum projection of self-consistently blocked triaxial one-quasiparticle HFB states for the description of odd-A…

Continuum Hartree-Fock-Bogoliubov theory for weakly bound deformed nuclei using the coordinate-space Green's function method

- Physics
- 2009

We formulate a new scheme of the Hartree-Fock-Bogoliubov mean-field theory applicable to weakly bound and pair-correlated deformed nuclei using the coordinate-space Green's function technique. On the…

Multishell shell model for heavy nuclei

- Physics
- 2003

Performing a shell-model calculation for heavy nuclei has been a long-standing problem in nuclear physics. Here, we propose one possible solution. The central idea of this proposal is to combine the…

Matrix elements of one-body and two-body operators between arbitrary HFB multi-quasiparticle states

- Physics
- 2014

Conservation of angular momentum in Bose-Einstein condensates requires many-body theory

- Physics
- 2018

Conservation of angular momentum is a fundamental symmetry in rotationally invariant quantum many-body systems. We show analytically that Gross-Pitaevskii mean-field dynamics violates this symmetry,…

Interacting Boson Model from Mean-Field Theory:. Application to Triaxial Nuclei

- Physics
- 2013

Based on the constrained self-consistent mean-field calculation using microscopic energy density functionals, the Hamiltonian of the interacting boson model (IBM) is determined. This method is…

Symmetric nuclear matter with chiral three-nucleon forces in the self-consistent Green's functions approach

- Physics
- 2013

We present calculations for symmetric nuclear matter using chiral nuclear interactions within the self-consistent Green's functions approach in the ladder approximation. Three-body forces are…