Generator-coordinate reference states for spectra and 
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 decay in the in-medium similarity renormalization group

Yao, J. M.; Engel, J.; Wang, Long-Jun; Jiao, Cuicui; Hergert, H.

doi:10.1103/physrevc.98.054311

Cited by 74 publications

(61 citation statements)

References 64 publications

(111 reference statements)

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“…We note that the suppression of H od not only leads to the desired ground-state decoupling, but also eliminates the outermost band in the Hamiltonian matrix. This simplification makes the evolved Hamiltonian an attractive input for other approaches, e.g., configuration interaction (CI) or equation-of-motion methods (see references [27,29,76,[83][84][85][86] and discussion below). Valence-space IMSRG.…”

Section: In-medium Similarity Renormalization Groupmentioning

confidence: 99%

“…The NCSM as the "host" method is rooted in the same particle-hole expansion picture as the IMSRG itself, but this is not a requirement. Another new hybrid method is the In-Medium Generator Coordinate Method (IM-GCM), which relies on the GCM as a host method to capture collective correlations [29,85,86]. In this approach, a many-body basis is generated by restoring the symmetries of mean field solutions with various types of shape and gauge configuration constraints, which is very different from the particle-hole excitation basis discussed so far.…”

Section: In-medium Similarity Renormalization Groupmentioning

confidence: 99%

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A Guided Tour of ab initio Nuclear Many-Body Theory

2020

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Over the last decade, new developments in Similarity Renormalization Group techniques and nuclear many-body methods have dramatically increased the capabilities of ab initio nuclear structure and reaction theory. Ground and excited-state properties can be computed up to the tin region, and from the proton to the presumptive neutron drip lines, providing unprecedented opportunities to confront two-plus three-nucleon interactions from chiral Effective Field Theory with experimental data. In this contribution, I will give a broad survey of the current status of nuclear many-body approaches, and I will use selected results to discuss both achievements and open issues that need to be addressed in the coming decade.

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Section: In-medium Similarity Renormalization Groupmentioning

confidence: 99%

Section: In-medium Similarity Renormalization Groupmentioning

confidence: 99%

A Guided Tour of ab initio Nuclear Many-Body Theory

2020

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“…Inclusion of the vibrational motion and two-quasiparticle configurations is, indeed, important for a better description of the low-lying spectra of spherical and weakly deformed nuclei. Conversely, the ground state energies, shown in Table I, are about 50 to 350 keV higher for our current QTDAdriven GCM than for the CHFB-GCM, which in turn is about 40 keV to 1.4 MeV above the numerically exact SM energies, a failing for GCM calculations previously known [49]. Keep in mind that our QTDA-driven GCM has fewer reference states than CHFB-GCM.…”

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confidence: 66%

Union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double- β decay

Jiao

Johnson

2019

Phys. Rev. C

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Good many-body methods for medium and heavy nuclei are important. Here we combine rotational motion with vibrational modes in a novel generator-coordinate method (GCM): starting from a mean-field solution (Hartree-Fock-Bogoliubov), we create non-orthogonal reference states from low-lying quasiparticle Tamm-Dancoff modes, and then project onto states of good angular momentum and particle number. The results we benchmark against full shell model calculations. Even with just a few such modes we find improvement over standard GCM calculations in excitation spectra. We also find significant improvement in 0νββ nuclear matrix elements.

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“…Putting together Equations (77) and (80), we can write the final perturbative expansion of the effective operator eff :…”

Section: Effective Shell-model Decay Operatorsmentioning

confidence: 99%

Perturbative Approach to Effective Shell-Model Hamiltonians and Operators

Coraggio

Itaco

2020

Front. Phys.

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This article presents an overview of the derivation of effective shell-model Hamiltonian and decay operators within the framework of many-body perturbation theory, and discusses the results of selected shell-model studies based on these operators. More precisely, we give technical details that non-experts will need in order to derive shell-model Hamiltonians and operators starting from realistic nuclear potentials, and provide some guidance for shell-model calculations where the single-particle energies, two-body matrix elements of the residual interaction, effective charges, and decay matrix elements are all obtained without resorting to empirical adjustments. We report results of studies of double-β decay of heavy-mass nuclei where the shell-model ingredients are derived from theory, so as to assess the reliability of such an approach to shell-model investigations. Attention will be also focused on aspects relating to the behavior of the perturbative expansion, knowledge of which is needed for establishing limits and applying this approach to nuclear structure calculations.

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Generator-coordinate reference states for spectra and 0νββ decay in the in-medium similarity renormalization group

Cited by 74 publications

References 64 publications

A Guided Tour of ab initio Nuclear Many-Body Theory

A Guided Tour of ab initio Nuclear Many-Body Theory

Union of rotational and vibrational modes in generator-coordinate-type calculations, with application to neutrinoless double- β decay

Perturbative Approach to Effective Shell-Model Hamiltonians and Operators

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