Saturation with chiral interactions and consequences for finite nuclei

Simonis, J.; Stroberg, S. R.; Hebeler, K.; Holt, J. D.; Schwenk, A.

doi:10.1103/physrevc.96.014303

Cited by 200 publications

(218 citation statements)

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“…This indicates that the N = 32 closure is predicted to arise too early towards Ca. While the origin of this discrepancy is not completely clear, we note that signatures of shell closures are often modestly overestimated by VS-IMSRG [50]. From direct comparisons with coupled cluster theory [56], it is expected that some controlled approximation to include three-body operators in the VS-IMSRG will improve such predictions in magic nuclei and possibly in titanium as well.…”

Section: T a N -M P E T T I T A N -M R -T O F -M S M E ( T I T A N -mentioning

confidence: 94%

“…In particular, we compare results obtained with the 1.8/2.0(EM), the N 2 LO sat and the NN+3N(lnl) interactions. The 1.8/2.0(EM) interaction [48][49][50] combines an SRG-evolved [51] next-to-next-to-next-to-leading order (N3LO) chiral NN potential [52] with a next-tonext-to-leading order (N2LO) non-renormalized chiral 3N force. The N 2 LO sat interaction [53] has NN and 3N terms fitted simultaneously to properties of A = 2, 3, 4 nuclei as well as to selected systems up to 24 O.…”

Section: T a N -M P E T T I T A N -M R -T O F -M S M E ( T I T A N -mentioning

confidence: 99%

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Dawning of the N=32 Shell Closure Seen through Precision Mass Measurements of Neutron-Rich Titanium Isotopes

Leistenschneider¹,

Reiter²,

Andrés³

et al. 2018

Phys. Rev. Lett.

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108

129

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A precision mass investigation of the neutron-rich titanium isotopes 51−55 Ti was performed at TRIUMF's Ion Trap for Atomic and Nuclear science (TITAN). The range of the measurements covers the N = 32 shell closure and the overall uncertainties of the 52−55 Ti mass values were significantly reduced. Our results conclusively establish the existence of weak shell effect at N = 32, narrowing down the abrupt onset of this shell closure. Our data were compared with state-of-the-art ab initio shell model calculations which, despite very successfully describing where the N = 32 shell gap is strong, overpredict its strength and extent in titanium and heavier isotones. These measurements also represent the first scientific results of TITAN using the newly commissioned Multiple-Reflection Time-of-Flight Mass Spectrometer (MR-TOF-MS), substantiated by independent measurements from TITAN's Penning trap mass spectrometer.Atomic nuclei are highly complex quantum objects made of protons and neutrons. Despite the arduous efforts needed to disentangle specific effects from their many-body nature, the fine understanding of their structures provides key information to our knowledge of fundamental nuclear forces. One notable quantum behavior of bound nuclear matter is the formation of shell-like structures for each fermion group [1], as electrons do in atoms. Unlike for atomic shells, however, nuclear shells are known to vanish or move altogether as the number of protons or neutrons in the system changes [2]. Particular attention has been given to the emergence of strong shell effects among nuclides with 32 neutrons, pictured in a shell model framework as a full valence ν2p 3/2 orbital. Across most of the known nuclear chart, this orbital is energetically close to ν1f 5/2 , which prevents the appearance of shell signatures in energy observables. However, the excitation energies of the lowest 2 + states show a relative, but systematic, local increase below proton number Z = 24 [3]. This effect, characteristic of shell closures, has been attributed in shell model calculations to the weakening of attractive proton-neutron interactions between the ν1f 5/2 and π1f 7/2 orbitals as the latter empties, making the neutrons in the former orbital less bound [4,5]. Ab initio calculations are also extending their reach over this sector of the nuclear chart, yet no systematic investigation of the N = 32 isotones has been produced so far.

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Section: T a N -M P E T T I T A N -M R -T O F -M S M E ( T I T A N -mentioning

confidence: 94%

Section: T a N -M P E T T I T A N -M R -T O F -M S M E ( T I T A N -mentioning

confidence: 99%

Dawning of the N=32 Shell Closure Seen through Precision Mass Measurements of Neutron-Rich Titanium Isotopes

Leistenschneider¹,

Reiter²,

Andrés³

et al. 2018

Phys. Rev. Lett.

Self Cite

108

129

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“…The VS-IMSRG approach based on the 1.8/2.0 (EM) NN+3N interaction reproduced experimental values well and was able to reproduce the excitation energy of the IAS state in 22 Na. With the improved binding-energy reproduction in the A = 22 triplet and the spectroscopic agreement seen in 22 Na, as well as across the medium-mass region of the nuclear chart [51], these calculations suggest that extracting sensitive ISB corrections to superallowed decays from ab-initio methods can now be considered and explored in a more controlled manner.…”

mentioning

confidence: 99%

“…This Hamiltonian reproduces experimental data in the upper p and lower sd shells, making it a potentially good choice for the nuclei studied here. The second NN+3N interaction, 1.8/2.0(EM) [49][50][51], uses the same initial NN interaction as above but is SRG-evolved to λ NN = 1.8fm −1 , with undetermined 3N force couplings fit to reproduce both the triton binding and alpha particle charge radius at λ 3N = 2.0fm −1 . This Hamiltonian reproduces groundstate energies across the nuclear chart from the p shell to the tin region [51][52][53][54].…”

mentioning

confidence: 99%

High-precision QEC -value measurement of the superallowed β+ emitter Mg22 and an ab

Reiter
¹
,

Leach
²
,

Drozdowski
³

et al. 2017

Phys. Rev. C
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5
22
0

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“…Other interactions fitted to different data lead to promising results for heavier nuclei, neutron and nuclear matter [2,26,28,31,[36][37][38][39][40][41][42][43].…”

Section: Arxiv:161208010v3 [Nucl-th] 24 Apr 2018mentioning
confidence: 99%

Uncertainties in constraining low-energy constants from 3H $ \beta$β decay
Klos¹,
Carbone²,
Hebeler³
et al. 2017
Eur. Phys. J. A
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20
0
20
0
1
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We discuss the uncertainties in constraining low-energy constants of chiral effective field theory from 3 H β decay. The half-life is very precisely known, so that the Gamow-Teller matrix element has been used to fit the coupling cD of the axial-vector current to a short-range two-nucleon pair. Because the same coupling also describes the leading one-pion-exchange three-nucleon force, this in principle provides a very constraining fit, uncorrelated with the 3 H binding energy fit used to constrain another low-energy coupling in three-nucleon forces. However, so far such 3 H half-life fits have only been performed at a fixed cutoff value. We show that the cutoff dependence due to the regulators in the axial-vector two-body current can significantly affect the Gamow-Teller matrix elements and consequently also the extracted values for the cD coupling constant. The degree of the cutoff dependence is correlated with the softness of the employed NN interaction. As a result, present three-nucleon forces based on a fit to 3 H β decay underestimate the uncertainty in cD. We explore a range of cD values that is compatible within cutoff variation with the experimental 3 H half-life and estimate the resulting uncertainties for many-body systems by performing calculations of symmetric nuclear matter. Introduction. The development of new and improved nuclear forces within chiral effective field theory (EFT) is currently a very active field of research [1][2][3][4]. In contrast to phenomenological approaches, chiral EFT provides a framework that allows to systematically derive improvable expansions for nucleon-nucleon (NN) and many-body forces as well as electroweak current operators at low energies [5][6][7][8]. Within Weinberg's power counting scheme [9] the contributions to NN forces have been worked out up to fifth order in the chiral expansion [3, 10], whereas three-nucleon (3N) and four-nucleon forces have been developed up to fourth order [11][12][13][14]. Similarly nuclear currents have been derived up to fourth order for axial-vector [15,16] and vector currents [17][18][19][20][21].The contributions to nuclear forces and currents generally depend on low-energy couplings (LECs) that capture the short-distance physics that is not resolved explicitly within the EFT. Therefore, to determine the LECs, fits to data are needed. Up to second (next-to-leading) order there are no contributions from many-body interactions or currents, and the LECs in the NN forces are usually obtained by fits to pion-nucleon and nucleon-nucleon scattering data. At third (next-to-next-to leading) order, N 2 LO, two additional LECs, c D and c E , enter in 3N forces and two-body (2b) currents. While c D enters in both the NN-contact-one-pion exchange 3N force and the

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Saturation with chiral interactions and consequences for finite nuclei

Cited by 200 publications

References 54 publications

Dawning of the N=32 Shell Closure Seen through Precision Mass Measurements of Neutron-Rich Titanium Isotopes

Dawning of the N=32 Shell Closure Seen through Precision Mass Measurements of Neutron-Rich Titanium Isotopes

High-precision QEC -value measurement of the superallowed β+ emitter Mg22 and an ab

Uncertainties in constraining low-energy constants from 3H $ \beta$β decay

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