From low-momentum interactions to nuclear structure

By Scott Bogner, Richard J. Furnstahl, A. Schwenk. 2009

410 citations recorded by the source corpus.

We present an overview of low-momentum two-nucleon and many-body interactions and their use in calculations of nuclei and infinite matter. The softening of phenomenological and effective field theory (EFT) potentials by renormalization group (RG) transformations that decouple low and high momenta leads to greatly enhanced convergence in few- and many-body systems while maintaining a decreasing hierarchy of many-body forces. This review surveys the RG-based technology and results, discusses the connections to chiral EFT, and clarifies various misconceptions.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/bc2282109b1a27d7756c1b590e6c9e3a1e884b9b

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In Nuclear and High Energy Physics

Citations in the corpus

Hidden pseudospin and spin symmetries and their origins in atomic nuclei (2014, neutral): “rt space, enabling exact diagonalizations in the valence space that are impossible in the full problem where all nucleons are active. Recent reviews on the related topics can be found in, e.g., Refs. [366, 367]. For the Dirac Hamiltonian shown in Eq. (2), it can be transformed with the 157 SRG into ”
A Guided Tour of ab initio Nuclear Many-Body Theory (2020, methodology): “As we know now, the existence of a bound mean-field solution and a weak, possibly perturbative residual interaction relies on the decoupling of low and high momenta in the nuclear Hamiltonian [1, 6, 253], e.”
Nucleon-nucleon correlations, short-lived excitations, and the quarks within (2016, methodology): “tion group methods to generate a soft NNpotential from a hard interaction either by integrating out high momentum components (in the case of Vlow K), or by using the similarity renormalization group (Bogner et al., 2010). This potential is perturbative in the sense that the Born series for scatterin”
The Nuclear Symmetry Energy (2016, methodology): “In this case an effective interaction in the medium is constructed by the RG procedure, where the momentum cut-off is lowered until the interaction is weak enough to be treated perturbatively [259].”
The In-Medium Similarity Renormalization Group: A novel ab initio method for nuclei (2015, methodology): “These specific cases are realized in nuclear physics applications, where the SRG is used to decouple momentum or energy scales, and thereby render the nuclear Hamiltonian more suitable for ab initio many-body calculations [9, 32, 34, 35].”
Comparing and contrasting nuclei and cold atomic gases (2013, background): “…deriving low-momentum interactions for use in few- and many-body nuclei promise to improve on this situation by decoupling the troublesome high-momentum parts of the typical nucleon-nucleon interaction while preserving the correct scattering phase shifts (Epelbaum et al. 2009, Bogner et al. 2010).”