Effect of spin-orbit nuclear charge density corrections due to the anomalous magnetic moment on halonuclei

Ong, Alex; Berengut, J. C.; Flambaum, V. V.

doi:10.1103/physrevc.82.014320

Cited by 62 publications

(44 citation statements)

References 25 publications

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“…To obtain charge radii r ch from computed poin-proton radii r pp we use the standard expression [64]: (51) fm [66]. In this work we ignore the spin-orbit contribution to charge radii [67]. From the N N sector, the objective function includes proton-proton and neutron-proton scattering observables from the SM99 database [68] up to 35 MeV scattering energy in the laboratory system as well as effective range parameters, and deuteron properties (see Table II).…”

mentioning

confidence: 99%

Accurate nuclear radii and binding energies from a chiral interaction

Ekström¹,

Jansen²,

Wendt³

et al. 2015

Phys. Rev. C

460

598

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With the goal of developing predictive ab-initio capability for light and medium-mass nuclei, twonucleon and three-nucleon forces from chiral effective field theory are optimized simultaneously to low-energy nucleon-nucleon scattering data, as well as binding energies and radii of few-nucleon systems and selected isotopes of carbon and oxygen. Coupled-cluster calculations based on this interaction, named NNLOsat, yield accurate binding energies and radii of nuclei up to 40 Ca, and are consistent with the empirical saturation point of symmetric nuclear matter. In addition, the low-lying collective J π = 3 − states in 16 O and 40 Ca are described accurately, while spectra for selected p-and sd-shell nuclei are in reasonable agreement with experiment. Introduction -Interactions from chiral effective field theory (EFT) [1][2][3][4] and modern applications of renormalization group techniques [5][6][7][8] have opened the door for a description of atomic nuclei consistent with the underlying symmetries of quantum chromodynamics, the theory of the strong interaction. Chiral nuclear forces can be constructed systematically from long-range pion physics augmented by contact interactions. Over the past decade, the renaissance of nuclear theory based on realistic nuclear forces and powerful computational methods has pushed the frontier of ab initio calculations from fewbody systems and light nuclei [6, 9, 10] to medium-mass nuclei [11][12][13][14][15][16][17][18][19].

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mentioning

confidence: 99%

Accurate nuclear radii and binding energies from a chiral interaction

Ekström¹,

Jansen²,

Wendt³

et al. 2015

Phys. Rev. C

460

598

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“…The 6 He charge radius has been recently reevaluated using input from the first direct mass measurement of this halo nucleus, leading to r ch = 2.060 ± 0.008 fm [4]. In order to compare the experimental charge radius with theory, we convert it into a point-proton radius r pp using [37]:…”

Section: A Comparison With Experimentsmentioning

confidence: 99%

“…Because such a calculation is not available for all methods, we prefer to use a common estimate for r 2 so in the conversion of the experimental charge radius to r 2 pp . In [37], the spin-orbit correction was estimated to be −0.08 fm 2 in the case of pure p 3/2 halo neutrons for 6 He. We conservatively took 0.08 fm 2 as the corresponding error.…”

Section: A Comparison With Experimentsmentioning

confidence: 99%

Matter and charge radius of6He in the hyperspherical-harmonics approach

2012

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We present ab-initio calculations of the binding energy and radii of the two-neutron halo nucleus 6 He using two-body low-momentum interactions based on chiral effective field theory potentials. Calculations are performed via a hyperspherical harmonics expansion where the convergence is sped up introducing an effective interaction for non-local potentials. The latter is essential to reach a satisfactory convergence of the extended matter radius and of the point-proton radius. The dependence of the results on the resolution scale is studied. A correlation is found between the radii and the two-neutron separation energy. The importance of three-nucleon forces is pointed out comparing our results and previous calculations to experiment.

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“…[42]. The spin-orbit correction [43] is calculated from with the magnetic moments of the proton, µ p = 2.793µ N , and the neutron, µ n = −1.913µ N , and the definition…”

Section: Closed-shell Nucleimentioning

confidence: 99%

Saturation with chiral interactions and consequences for finite nuclei

Simonis¹,

Stroberg²,

Hebeler³

et al. 2017

Phys. Rev. C

190

203

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We explore the impact of nuclear matter saturation on the properties and systematics of finite nuclei across the nuclear chart. Using the ab initio in-medium similarity renormalization group (IM-SRG), we study ground-state energies and charge radii of closed-shell nuclei from 4 He to 78 Ni, based on a set of low-resolution two-and three-nucleon interactions that predict realistic saturation properties. We first investigate in detail the convergence properties of these Hamiltonians with respect to model-space truncations for both two-and three-body interactions. We find one particular interaction that reproduces well the ground-state energies of all closed-shell nuclei studied. As expected from their saturation points relative to this interaction, the other Hamiltonians underbind nuclei, but lead to a remarkably similar systematics of ground-state energies. Extending our calculations to complete isotopic chains in the sd and pf shells with the valence-space IM-SRG, the same interaction reproduces not only experimental ground states but two-neutron-separation energies and first excited 2 + states. We also calculate radii with the valence-space IM-SRG for the first time. Since this particular interaction saturates at too high density, charge radii are still too small compared with experiment. Except for this underprediction, the radii systematics is, however, well reproduced. Our results highlight the importance of nuclear matter as a theoretical benchmark for the development of next-generation chiral interactions.

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Effect of spin-orbit nuclear charge density corrections due to the anomalous magnetic moment on halonuclei

Cited by 62 publications

References 25 publications

Accurate nuclear radii and binding energies from a chiral interaction

Accurate nuclear radii and binding energies from a chiral interaction

Matter and charge radius of6He in the hyperspherical-harmonics approach

Saturation with chiral interactions and consequences for finite nuclei

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