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Computing the dipole polarizability of 48Ca with increased precision
Nuclear Theory · Submitted 5 Apr 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The addition of these new correlations allows us to improve the precision of our 48Ca calculations and reconcile the recently reported discrepancy between coupled-cluster results based on these interactions and the experimentally determined alpha_D from proton inelastic scattering in 48Ca [Birkhan et al., Phys. Rev. Lett. 118, 252501 (2017)].
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The abstract, sentence by sentence
We compute the electric dipole polarizability of 48Ca with an increased precision by including more correlations than in previous studies. Employing the coupled-cluster method we go beyond singles and doubles excitations and include leading-order three-particle-three-hole (3p-3h) excitations for the ground state, excited states, and the similarity transformed operator. We study electromagnetic sum rules, such as the bremsstrahlung sum rule m_0 and the polarizability sum rule alpha_D using interactions from chiral effective field theory. To gauge the quality of our coupled-cluster approximations we perform several benchmarks with the effective interaction hyperspherical harmonics approach in 4He and with self consistent Green's function in 16O. We compute the dipole polarizability of 48Ca employing the chiral interaction N2LOsat [Ekstroem et al., Phys. Rev. C 91, 051301 (2015)] and the 1.8/2.0 (EM) [Hebeler et al., Phys. Rev. C 83, 031301 (2011)]. We find that the effect of 3p-3h excitations in the ground state is small for 1.8/2.0 (EM) but non-negligible for N2LOsat. The addition of these new correlations allows us to improve the precision of our 48Ca calculations and reconcile the recently reported discrepancy between coupled-cluster results based on these interactions and the experimentally determined alpha_D from proton inelastic scattering in 48Ca [Birkhan et al., Phys. Rev. Lett. 118, 252501 (2017)]. For the computation of electromagnetic and polarizability sum rules, the inclusion of leading-order 3p-3h excitations in the ground state is important, while less so for the excited states and the similarity-transformed dipole operator.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We compute the electric dipole polarizability of 48Ca with an increased precision by including more correlations than in previous studies. | contribution 1.00 | 0.96 | 0.12 | asserted 1.00 |
| s1 | Employing the coupled-cluster method we go beyond singles and doubles excitations and include leading-order three-particle-three-hole (3p-3h) excitations for the ground state, excited states, and the similarity transformed operator. | method 0.92 | 0.96 | 0.05 | asserted 0.99 |
| s2 | We study electromagnetic sum rules, such as the bremsstrahlung sum rule m_0 and the polarizability sum rule alpha_D using interactions from chiral effective field theory. | method 0.53 | 0.90 | 0.04 | asserted 0.96 |
| s3 | To gauge the quality of our coupled-cluster approximations we perform several benchmarks with the effective interaction hyperspherical harmonics approach in 4He and with self consistent Green's function in 16O. | method 0.95 | 0.94 | 0.03 | asserted 0.97 |
| s4 | We compute the dipole polarizability of 48Ca employing the chiral interaction N2LOsat [Ekstroem et al., Phys. Rev. C 91, 051301 (2015)] and the 1.8/2.0 (EM) [Hebeler et al., Phys. Rev. C 83, 031301 (2011)]. | method 0.97 | 0.87 | 0.04 | asserted 1.00 |
| s5 | We find that the effect of 3p-3h excitations in the ground state is small for 1.8/2.0 (EM) but non-negligible for N2LOsat. | result 1.00 | 0.97 | 0.14 | asserted 1.00 |
| s6 | The addition of these new correlations allows us to improve the precision of our 48Ca calculations and reconcile the recently reported discrepancy between coupled-cluster results based on these interactions and the experimentally determined alpha_D from proton inelastic scattering in 48Ca [Birkhan et al., Phys. Rev. Lett. 118, 252501 (2017)]. | interpretation 0.58 | 0.88 | 0.75 | asserted 1.00 |
| s7 | For the computation of electromagnetic and polarizability sum rules, the inclusion of leading-order 3p-3h excitations in the ground state is important, while less so for the excited states and the similarity-transformed dipole operator. | result 0.82 | 0.90 | 0.19 | asserted 1.00 |
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The paper
Original abstract
We compute the electric dipole polarizability of 48Ca with an increased precision by including more correlations than in previous studies. Employing the coupled-cluster method we go beyond singles and doubles excitations and include leading-order three-particle-three-hole (3p-3h) excitations for the ground state, excited states, and the similarity transformed operator. We study electromagnetic sum rules, such as the bremsstrahlung sum rule m_0 and the polarizability sum rule alpha_D using interactions from chiral effective field theory. To gauge the quality of our coupled-cluster approximations we perform several benchmarks with the effective interaction hyperspherical harmonics approach in 4He and with self consistent Green's function in 16O. We compute the dipole polarizability of 48Ca employing the chiral interaction N2LOsat [Ekstroem et al., Phys. Rev. C 91, 051301 (2015)] and the 1.8/2.0 (EM) [Hebeler et al., Phys. Rev. C 83, 031301 (2011)]. We find that the effect of 3p-3h excitations in the ground state is small for 1.8/2.0 (EM) but non-negligible for N2LOsat. The addition of these new correlations allows us to improve the precision of our 48Ca calculations and reconcile the recently reported discrepancy between coupled-cluster results based on these interactions and the experimentally determined alpha_D from proton inelastic scattering in 48Ca [Birkhan et al., Phys. Rev. Lett. 118, 252501 (2017)]. For the computation of electromagnetic and polarizability sum rules, the inclusion of leading-order 3p-3h excitations in the ground state is important, while less so for the excited states and the similarity-transformed dipole operator.
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References
How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 1 paper
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A prominent example is the electric dipole polarizability of a nucleus [ref] , which is the inverse energy weighted sum rule of the dipole response function and for which extensive comparison of ab initio calculations to data have been recently performed [ref] .
Benchmark calculations of electromagnetic sum rules with a symmetry-adapted basis and hyperspherical harmonics · Introduction · 0.81
What it cites · 11 sentences without a confident label
Uses the method or tool of 1 paper
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The inverse-energy-weighted-polarizability sum rule $α_D$ of Eq. ([ref]) can be calculated by utilizing the Lanczos continued fraction method [ref] as [equation] Here $ℐ_L(σ, Γ)$ is the Lorentz integral transform, and $x_00$ is a continued fraction of the Lanczos coefficients.
Electric dipole polarizability from first principles calculations · Theoretical methods · 0.99
Compares with 1 paper
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Using this interaction also allows us to benchmark with self consistent Green's function results [ref] .
Recent Applications of Self-Consistent Green's Function Theory to Nuclei · Validation and benchmarking · 0.94
Cites as support 2 papers
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For $^16$O, the inclusion of 3NFs is necessary for a realistic description of the charge radius and observables correlated with it, such as $m_0$ and $α_D$ [ref] .
Emergent properties of nuclei from ab initio coupled-cluster calculations · Validation and benchmarking · 0.97
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For $^16$O, the inclusion of 3NFs is necessary for a realistic description of the charge radius and observables correlated with it, such as $m_0$ and $α_D$ [ref] .
Electric dipole polarizability from first principles calculations · Validation and benchmarking · 0.97
Cites as background 1 paper
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All these methods seek economical ways to include the necessary particle-hole correlations required to achieve a precise calculation of energies and observables of ground- and excited states [ref] .
Recent Applications of Self-Consistent Green's Function Theory to Nuclei · Introduction · 0.85
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