Masses of exotic calcium isotopes pin down nuclear forces

Wienholtz, F.; Beck, D.; Blaum, Klaus; Borgmann, Ch.; Breitenfeldt, M.; Cakirli, R. B.; George, Sebastian; Herfurth, F.; Holt, J. D.; Kowalska, Magdalena; Kreim, S.; Lunney, D.; Manea, V.; Menéndez, J. Fernández; Neidherr, D.; Rosenbusch, M.; Schweikhard, L.; Schwenk, A.; Simonis, J.; Stanja, J.; Wolf, R.; Zuber, Κ.

doi:10.1038/nature12226

Cited by 439 publications

(447 citation statements)

References 32 publications

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“…Without these initial 3N forces, the spectra of 25,26 F are much too compressed, but with their addition, the IM-SRG spectra are in reasonable agreement with predictions from phenomenology [23]. More generally, 3N forces are necessary to reproduce properties of exotic nuclei near oxygen and calcium [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. In this work, we extend this approach to the ensemble normal-ordering procedure outlined in Ref.…”

Section: Modelsmentioning

confidence: 83%

Effective proton-neutron interaction near the drip line from unbound states in F25,26

Vandebrouck¹,

Lepailleur²,

Sorlin³

et al. 2017

Phys. Rev. C

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Background: Odd-odd nuclei, around doubly closed shells, have been extensively used to study proton-neutron interactions. However, the evolution of these interactions as a function of the binding energy, ultimately when nuclei become unbound, is poorly known. The 26 F nucleus, composed of a deeply bound π 0d 5/2 proton and an unbound ν0d 3/2 neutron on top of an 24 O core, is particularly adapted for this purpose. The coupling of this proton and neutron results in a J π = 1 1 + − 4 1 + multiplet, whose energies must be determined to study the influence of the proximity of the continuum on the corresponding proton-neutron interaction. The J π = 1 1 + , 2 1 + , 4 1 + bound states have been determined, and only a clear identification of the J π = 3 1 + is missing. Purpose: We wish to complete the study of the J π = 1 1 + − 4 1 + multiplet in 26 F, by studying the energy and width of the J π = 3 1 + unbound state. The method was first validated by the study of unbound states in 25 F, for which resonances were already observed in a previous experiment. Method: Radioactive beams of 26 Ne and 27 Ne, produced at about 440A MeV by the fragment separator at the GSI facility were used to populate unbound states in 25 F and 26 F via one-proton knockout reactions on a CH 2 target, located at the object focal point of the R 3 B/LAND setup. The detection of emitted γ rays and neutrons, added to the reconstruction of the momentum vector of the A − 1 nuclei, allowed the determination of the energy of three unbound states in 25 F and two in 26 F. Results: Based on its width and decay properties, the first unbound state in 25 F, at the relative energy of 49(9) keV, is proposed to be a J π = 1/2 − arising from a p 1/2 proton-hole state. In 26 F, the first resonance at 323(33) keV is proposed to be the J π = 3 1 + member of the J π = 1 1 + − 4 1 + multiplet. Energies of observed states in 25,26 F have been compared to calculations using the independent-particle shell model, a phenomenological shell model, and the ab initio valence-space in-medium similarity renormalization group method. Conclusions: The deduced effective proton-neutron interaction is weakened by about 30-40% in comparison to the models, pointing to the need for implementing the role of the continuum in theoretical descriptions or to a wrong determination of the atomic mass of 26 F.

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Section: Modelsmentioning

confidence: 83%

Effective proton-neutron interaction near the drip line from unbound states in F25,26

Vandebrouck¹,

Lepailleur²,

Sorlin³

et al. 2017

Phys. Rev. C

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“…Twoneutron separation energies are compared to results from self-consistent second-order Gor'kov Green's Function (GGF) calculations with the N N +3N (400) Hamiltonian at λ = 2.0 fm −1 [92,99]. Black bars indicate experimental data [110,176].…”

Section: Calcium and Nickel Isotopesmentioning

confidence: 99%

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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“…The two-neutron separation energies (S 2n ) obtained from the TITAN mass measurements remarkably agree with the S 2n predicted from the improved theoretical calculation that include 3N forces. This emphasizes the importance of accurate and precise Penning trap mass measurements to test the predictive power of theory, which was also confirmed by multi-reflection TOF mass measurements by ISOLTRAP [42].…”

Section: Neutron-rich K and Ca Nuclidesmentioning

confidence: 57%

Precision mass measurements of short-lived nuclides for nuclear structure studies at TITAN

Chaudhuri

Andreoiu

Brunner

et al. 2014

EPJ Web of Conferences

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Abstract. TITAN (TRIUMF's Ion Trap for Atomic and Nuclear science) at TRIUMF's rare isotope beam facility ISAC is an advanced Penning trap based mass spectrometer dedicated to precise and accurate mass determinations. An overview of TITAN, the measurement technique and a highlight of recent mass measurements of the short-lived nuclides important to the nuclear structure program at TITAN are presented.

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Masses of exotic calcium isotopes pin down nuclear forces

Cited by 439 publications

References 32 publications

Effective proton-neutron interaction near the drip line from unbound states in F25,26

Effective proton-neutron interaction near the drip line from unbound states in F25,26

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

Precision mass measurements of short-lived nuclides for nuclear structure studies at TITAN

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