Approximate Reduction of the Many-Body Problem for Strongly Interacting Particles to a Problem of Self-Consistent Fields

Brueckner, Keith A.; Levinson, C. A.

doi:10.1103/physrev.97.1344

Cited by 361 publications

(163 citation statements)

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“…For instance, the HF ground-state energy of 40 Ca is merely −96.4 MeV, and the binding energy gain due to the IMSRG(2) evolution is about 200 MeV, which is a first indicator that its resolution scale is higher than that of the other two interactions used in the figure. The softened N N +3N (400) Hamiltonians overestimate the binding energy compared to the experimental value of −342 MeV [110] (cf.…”

Section: Ground-state Calculationsmentioning

confidence: 99%

“…In section 6, we will present MR-IMSRG results with one of the first new N N +3N interactions that resulted from these efforts, NNLO sat [26]. By taking select many-body data into account in the optimization procedure, the creators of NNLO sat were able to improve the interaction's saturation properties, allowing an accurate description of the ground-state energies and radii of 40,48 Ca [140,141].…”

Section: Interactions and Implementationmentioning

confidence: 99%

“…As a first example, we consider IMSRG(2) ground-state calculations for the magic nucleus 40 Ca, using the single-reference version of the Brillouin η B generator, equation (101), and different chiral N N +3N interactions (figure 6). Globally, sizable amounts of correlation energy are re-shuffled into the zero-body piece of the Hamiltonian.…”

Section: Ground-state Calculationsmentioning

confidence: 99%

“…The many-body data, e.g., selected radii, are chosen in order to improve the deficient saturation behavior of chiral interactions that are used as input for nuclear many-body calculations. The first interaction optimized with this protocol is NNLO sat [26], which is able to accurately describe the ground-state energies and charge radii of 40,48 Ca at the same time. Following the same philosophy but not the same approach, Shirokov et al have produced Daejeon16, a softened chiral N N interaction that has been tuned for the description of light nuclei without explicit 3N forces [27][28][29][30].…”

Section: Introductionmentioning

confidence: 99%

“…Their approach relied on Brueckner's G matrix to treat short-range correlations induced by the free-space N N interaction, and employed the so-called hole-line expansion to second order [39][40][41]. After some initial successes, Barret, Kirson, and others demonstrated a lack of order-by-order convergence of this expansion [42][43][44][45][46], and Vary, Sauer and Wong found a disturbingly strong model-space dependence in intermediate-state summations, with larger model spaces actually degrading the agreement with experimental data [47].…”

Section: Introductionmentioning

confidence: 99%

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In-medium similarity renormalization group for closed and open-shell nuclei

Hergert¹

2016

Phys. Scr.

145

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Abstract. We present a pedagogical introduction to the In-Medium Similarity Renormalization Group (IMSRG) framework for ab initio calculations of nuclei. The IMSRG performs continuous unitary transformations of the nuclear many-body Hamiltonian in second-quantized form, which can be implemented with polynomial computational effort. Through suitably chosen generators, it is possible to extract eigenvalues of the Hamiltonian in a given nucleus, or drive the Hamiltonian matrix in configuration space to specific structures, e.g., band-or block-diagonal form.Exploiting this flexibility, we describe two complementary approaches for the description of closed-and open-shell nuclei: The first is the Multireference IMSRG (MR-IMSRG), which is designed for the efficient calculation of nuclear ground-state properties. The second is the derivation of nonempirical valence-space interactions that can be used as input for nuclear Shell model (i.e., configuration interaction (CI)) calculations. This IMSRG+Shell model approach provides immediate access to excitation spectra, transitions, etc., but is limited in applicability by the factorial cost of the CI calculations.We review applications of the MR-IMSRG and IMSRG+Shell model approaches to the calculation of ground-state properties for the oxygen, calcium, and nickel isotopic chains or the spectroscopy of nuclei in the lower sd shell, respectively, and present selected new results, e.g., for the ground-and excited state properties of neon isotopes.Submitted to: Phys. Scr.

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Section: Ground-state Calculationsmentioning

confidence: 99%