Radii and Binding Energies in Oxygen Isotopes: A Challenge for Nuclear Forces

Lapoux, V.; Somà, V.; Barbieri, C.; Hergert, H.; Holt, J. D.; Stroberg, S. R.

doi:10.1103/physrevlett.117.052501

Cited by 137 publications

(246 citation statements)

References 66 publications

Supporting

Mentioning

233

Contrasting

Order By: Relevance

“…[175]). For the resonant states, the increase is even larger, but continuum effects must be considered to make a meaningful comparison.…”

Section: Oxygen Isotopesmentioning

confidence: 99%

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

Hergert¹

2016

Phys. Scr.

145

View full text Add to dashboard Cite

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.

show abstract

“…[175]). For the resonant states, the increase is even larger, but continuum effects must be considered to make a meaningful comparison.…”

Section: Oxygen Isotopesmentioning

confidence: 99%

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

Hergert¹

2016

Phys. Scr.

145

View full text Add to dashboard Cite

show abstract

“…On the other hand, for nuclei, the nuclear force, being a residual interaction of the strong force, is still far from being completely understood (see, e.g., Ref. [6]). There is, however, a second important difference.…”

Section: Introductionmentioning

confidence: 99%

Leading order relativistic chiral nucleon-nucleon interaction

Ren¹,

Li²,

Geng³

et al. 2018

Chinese Phys. C

View full text Add to dashboard Cite

Motivated by the successes of relativistic theories in studies of atomic/molecular and nuclear systems and the need for a relativistic chiral force in relativistic nuclear structure studies, we explore a new relativistic scheme to construct the nucleon-nucleon interaction in the framework of covariant chiral effective field theory. The chiral interaction is formulated up to leading order with covariant power counting and a Lorentz invariant chiral Lagrangian. We find that the relativistic scheme induces all six spin operators needed to describe the nuclear force. A detailed investigation of the partial wave potentials shows a better description of the 1 S0 and 3 P0 phase shifts than the leading order Weinberg approach, and similar to that of the next-to-leading order Weinberg approach. For the other partial waves with angular momenta J ≥ 1, the relativistic results are almost the same as their leading order non-relativistic counterparts.

show abstract

“…As a sample application of the MR-IMSRG(2), we use spherical, particle-number projected HFB vacua (see, e.g., [117,157] to compute the ground-state energies and radii of the even oxygen isotopes (odd isotopes have irreducible densities that are non-scalar under rotation, which requires a future extension of our framework) [46,158]. Our results are shown in Fig.…”

Section: Example: the Oxygen Isotopic Chainmentioning

confidence: 99%

“…[158]). For the resonant states, the increase is even larger, but continuum effects must be considered to make a meaningful comparison.…”

Section: Example: the Oxygen Isotopic Chainmentioning

confidence: 99%

In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem

Hergert

Bogner

Lietz

et al. 2017

An Advanced Course in Computational Nuclear Physics

View full text Add to dashboard Cite

We present a pedagogical discussion of Similarity Renormalization Group (SRG) methods, in particular the In-Medium SRG (IMSRG) approach for solving the nuclear manybody problem. These methods use continuous unitary transformations to evolve the nuclear Hamiltonian to a desired shape. The IMSRG, in particular, is used to decouple the ground state from all excitations and solve the many-body Schrödinger equation. We discuss the IM-SRG formalism as well as its numerical implementation, and use the method to study the pairing model and infinite neutron matter. We compare our results with those of Coupled cluster theory (Chapter 8), Configuration-Interaction Monte Carlo (Chapter 9), and the SelfConsistent Green's Function approach discussed in Chapter 11. The chapter concludes with an expanded overview of current research directions, and a look ahead at upcoming developments.

show abstract

Radii and Binding Energies in Oxygen Isotopes: A Challenge for Nuclear Forces

Cited by 137 publications

References 66 publications

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

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

Leading order relativistic chiral nucleon-nucleon interaction

In-Medium Similarity Renormalization Group Approach to the Nuclear Many-Body Problem

Contact Info

Product

Resources

About