Converged ab initio calculations of heavy nuclei

Miyagi, T.; Stroberg, S. R.; Navrátil, P.; Hebeler, K.; Holt, J. D.

doi:10.48550/arxiv.2104.04688

Cited by 15 publications

(21 citation statements)

References 79 publications

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“…In the current study, the employed interaction is the two (NN) and three-nucleon (3N) force 1.8/2.0 (EM) [52,53], where the NN force is given at order N 3 LO and the 3N force at N 2 LO. This interaction has been shown to reproduce ground-state energies globally to the 132 Sn region and beyond [54][55][56], while generally giving too small radii [57]. For the 3N piece, due to memory limitations, we need to introduce an additional truncation E 3max = 24 [56] defined as the sum of the three-body HO quanta.…”

Section: Many-body Methodsmentioning

confidence: 99%

“…This interaction has been shown to reproduce ground-state energies globally to the 132 Sn region and beyond [54][55][56], while generally giving too small radii [57]. For the 3N piece, due to memory limitations, we need to introduce an additional truncation E 3max = 24 [56] defined as the sum of the three-body HO quanta. Before solving the flow equation (25), we optimize the single-particle orbitals through transformation to the Hartree-Fock (HF) basis.…”

Section: Many-body Methodsmentioning

confidence: 99%

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Ab initio calculation of muon capture on $^{24}$Mg

Jokiniemi¹,

Miyagi²,

Stroberg³

et al. 2021

Preprint

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In this work we study ordinary muon capture on 24 Mg from a first principles perspective. Starting from a particular two-and three-nucleon interaction derived from chiral effective field theory, we use the valence-space in-medium similarity renormalization group framework to construct effective Hamiltonians and muon capture operators which nonperturbatively account for many-body physics outside the valence space. The obtained nuclear matrix elements are compared against those from the phenomenological shell model. The impact of including the correlations from the nuclear shell model as well as including the induced two-body part is studied in detail. Furthermore, the effect of realistic bound-muon wave function on the operators is studied. Finally, predictions for capture rates to the lowest excited states in 24 Na are given and compared with available data.

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Section: Many-body Methodsmentioning

confidence: 99%

Section: Many-body Methodsmentioning

confidence: 99%

Ab initio calculation of muon capture on $^{24}$Mg

Jokiniemi¹,

Miyagi²,

Stroberg³

et al. 2021

Preprint

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“…However, calculating accurate spectra for 1p-2h states across the N = 82 shell closure is a challenge for modern nuclear structure theories. There have been some recent successes with IMSGR calculations around 132 Sn [2], but these do not include spectra of these types of states. Coupled-cluster calculations would require the inclusion of corrections that are beyond current capabilities for these heavier nuclei.…”

Section: Exmentioning

confidence: 99%

“…Knowledge of the structure of exotic tin nuclei near the neutron shell closures is important for characterizing nuclear models away from the valley of stability, such as the nuclear shell model [1], and modern methods including In-Medium Similarity Renormalization (IMSGR) [2] and coupled cluster [3]. Information about the nature of single-particle and single-hole states outside the doublymagic core of 132 Sn, for example, is essential to predictions of many nuclei that are not currently available for measurement.…”

Section: Introductionmentioning

confidence: 99%

Neutron transfer reactions on the ground state and isomeric state of a 130Sn beam

Jones,

Bey,

Burcher

et al. 2022

Preprint

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The structure of nuclei around the neutron-rich nucleus 132 Sn is of particular interest due to the vicinity of the Z = 50 and N = 82 shell closures and the r-process nucleosynthetic path. Four states in 131 Sn with a strong single-particle-like component have previously been studied via the (d,p) reaction, with limited excitation energy resolution. The 130 Sn( 9 Be, 8 Be) 131 Sn and 130 Sn( 13 C, 12 C) 131 Sn single-neutron transfer reactions were performed in inverse kinematics at the Holifield Radioactive Ion Beam Facility using particle-γ coincidence spectroscopy. The uncertainties in the energies of the single-particle-like states have been reduced by more than an order of magnitude using the energies of γ rays. The previous tentative J π values have been confirmed. Decays from high-spin states in 131 Sn have been observed following transfer on the isomeric component of the 130 Sn beam. The improved energies and confirmed spin-parities of the p-wave states important to the r-process lead to direct-semidirect cross-sections for neutron capture on the ground state of 130 Sn at 30 keV that are in agreement with previous analyses. A similar assessment of the impact of neutron-transfer on the isomer would require significant nuclear structure and reaction theory input. There are few measurements of transfer reaction on isomers, and this is the first on an isomer in the 132 Sn region.

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“…In the present work, the values of R 2 p = 0.709 fm 2 [42, 43] and R 2 n = −0.106 fm 2 [44] were used. We employ the following two-plus three-nucleon (3N) interactions from chiral EFT: (i) NNLO sat [45], which gives a good description of charge radii in light and mid-mass isotopes but somewhat underbinds finite nuclei [1,2,7,12,15,46,47]; (ii) 1.8/2.0(EM) [6,48,49], and (iii) N N +3N (lnl) [46], which reproduce groundstate and excitation energies throughout the mediumand heavy mass region, but generally underpredict absolute charge radii [6,7,50]. The present work addresses a long sequence of charge radii along the Ni isotopic chain for the first time with three ab initio techniques, using these three nuclear interactions.…”

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confidence: 99%

Nuclear Charge Radii of the Nickel Isotopes $^{58-68,70}$Ni

Malbrunot-Ettenauer,

Kaufmann,

Bacca

et al. 2021

Preprint

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Collinear laser spectroscopy is performed on the nickel isotopes [58][59][60][61][62][63][64][65][66][67][68]70 Ni, using a time-resolved photon counting system. From the measured isotope shifts, nuclear charge radii Rc are extracted and compared to theoretical results. Three ab initio approaches all employ, among others, the chiral interaction NNLOsat, which allows an assessment of their accuracy. We find agreement with experiment in differential radii δ r 2 c for all employed ab initio methods and interactions, while the absolute radii are consistent with data only for NNLOsat. Within nuclear density functional theory, the Skyrme functional SV-min matches experiment more closely than the Fayans functional Fy(∆r, HFB).

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Converged ab initio calculations of heavy nuclei

Cited by 15 publications

References 79 publications

Ab initio calculation of muon capture on $^{24}$Mg

Ab initio calculation of muon capture on $^{24}$Mg

Neutron transfer reactions on the ground state and isomeric state of a 130Sn beam

Nuclear Charge Radii of the Nickel Isotopes $^{58-68,70}$Ni

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