Charge radii of neutron-deficient<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">K</mml:mi><mml:mprescripts /><mml:none /><mml:mn>36</mml:mn></mml:mmultiscripts></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi mathvariant="normal">K</mml:mi><mml:mprescripts /><mml:none /><mml:mn>37</mml:mn></mml:mmultiscripts></mml:math>

Rossi, D.; Minamisono, K.; Asberry, H.B.; Bollen, G.; Brown, B. A.; Cooper, K.; Isherwood, B. J.; Mantica, P. F.; Miller, A.; Morrissey, D. J.; Ringle, R.; Rodríguez, José A.; Ryder, C.A.; Smith, A.B.; Strum, R.; Sumithrarachchi, C.

doi:10.1103/physrevc.92.014305

Cited by 39 publications

(51 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…EDF calculations can only account for part of the observed isotope shift. For example, recent results for 49,51,52 Ca [31] show a rapid increase in the r 2 charge radius beyond N = 28 for which only about half is accounted for by the EDF calculations [31], [32]. Some of the isotope shift anomalies can be accounted for by quadrupole zero-point motion corrections.…”

Section: Application For Configuration-interaction Modelsmentioning

confidence: 99%

Microscopic method for E0 transition matrix elements

et al. 2017

Self Cite

View full text Add to dashboard Cite

We present a microscopic model for electric monopole (E0) transition matrix elements by combining a configuration interaction model for orbital occupations with an energy-density functional model for the single-particle potential and radial wavefunctions. The configuration interaction model is used to constrain the orbital occupations for the diagonal and off-diagonal matrix elements. These are used in an energy-density functional calculation to obtain a self-consistent transition density. This density contains the valence contribution, as well as the polarization of the protons by the valence protons and neutrons. We show connections between E0 matrix elements and isomer and isotope shifts of the charge radius. The spin-orbit correction to the charge density is important in some cases. This model accounts for a large part of the data over a wide region of the nuclear chart. It also accounts for the shape of the observed electron scattering form factors. The results depend on the Skyrme parameters used for energy-density functional and might be used to provide new constraints for them.

show abstract

Section: Application For Configuration-interaction Modelsmentioning

confidence: 99%

Microscopic method for E0 transition matrix elements

et al. 2017

Self Cite

View full text Add to dashboard Cite

show abstract

“…Another key structural indicator is the odd-even staggering of charge radii along isotopic chains. In particular, the intricate behavior of charge radii along the Ca chain -the almost equal values of charge radii in 40 Ca and 48 Ca, an appreciable oddeven staggering, and unexpectedly large charge radius in 52 Ca [6] -constitute a long-standing challenge for nuclear theory [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Toward a global description of nuclear charge radii: Exploring the Fayans energy density functional

Reinhard¹,

Nazarewicz²

2017

Phys. Rev. C

118

102

View full text Add to dashboard Cite

Background: Binding energies and charge radii are fundamental properties of atomic nuclei. When inspecting their particle-number dependence, both quantities exhibit pronounced odd-even staggering. While the odd-even effect in binding energy can be attributed to nucleonic pairing, the origin of staggering in charge radii is less straightforward to ascertain.Purpose: In this work, we study the odd-even effect in binding energies and charge radii, and systematic behavior of differential radii, to identify the underlying components of the effective nuclear interaction.Method: We apply nuclear density functional theory using a family of Fayans and Skyrme energy density functionals fitted to similar datasets but using different optimization protocols. We inspect various correlations between differential charge radii, odd-even staggering in energies and radii, and nuclear matter properties. Detailed analysis is carried out for medium-mass and heavy semi-magic nuclei with a particular focus on the Ca chain.Results: By making the surface and pairing terms dependent on density gradients, the Fayans functional offers the superb simultaneous description of odd-even staggering effects in energies and charge radii. Conversely, when the data on differential radii are added to the pool of fit-observables, the coupling constants determining the strengths of the gradient terms of Fayans functional are increased by orders of magnitude. The Skyrme functional optimized in this work with the generalized Fayans pairing term offers results of similar quality. We quantify these findings by performing correlation analysis based on the statistical linear regression technique. The nuclear matter parameters characterizing Fayans and Skyrme functionals optimized to similar datasets are fairly close. Conclusion:Fayans paring functional, with its generalized density dependence, significantly improves description of charge radii in odd and even nuclei. Adding differential charge radii to the set of fit-observables in the optimization protocol is helpful for both description of radii and for improving pairing functional. In particular, Fayans functional constrained in this way is capable of explaining charge radii in the even-even Ca isotopes. However, in order to obtain good description of differential radii data in both medium-mass and heavy nuclei, an A-dependent scaling of Fayans pairing functional is still needed. Various extensions of the current model are envisioned that carry out a promise for the global description.

show abstract

“…The underlying structural mechanism behind this discontinuity still remains elusive and even might vary for different shell closures. The possible explanations range from shifts of nucleonic shells due to the spin-orbit potential [11], beyond mean-field correlation effects due to zero-point fluctuations [12] and configuration mixing [13], changes in shell occupations [14,15], and density-dependent spin-orbit potentials [16,17]. Another subtle feature is the oddeven staggering with A, which has been explained [18] in terms of the density-dependent pairing interaction.…”

mentioning

confidence: 99%

“…Above N = 28, K [51], Cr [40], and Mn [22] The predictions of single-reference DFT calculations with UNEDF0 and SV-min for the Ca chain, shown in Fig. 2 by dashed lines, are typical of Skyrme functionals that have been calibrated to experimental rms charge radii: they overestimate rms charge radii for both 40 Ca and 48 Ca, and are unable to reproduce either the kink at N = 28 or the local maximum at 44 Ca [15,21]. The situation around 44 Ca is only slightly improved when quadrupole correlations are added (solid lines), but the pattern in neutron-rich Ca isotopes deteriorates [21].…”

mentioning

confidence: 99%

Charge Radii of Neutron DeficientFe52,53Produced by Projectile Fragmentation

et al. 2016

Self Cite

View full text Add to dashboard Cite

Bunched-beam collinear laser spectroscopy was performed on neutron-deficient 52,53 Fe prepared through in-flight separation followed by a gas stopping. This novel scheme is a major step to reach nuclides far from the stability line in laser spectroscopy. Differential mean-square charge radii δ r 2 of 52,53 Fe were determined relative to stable 56 Fe as δ r 2 56,52 = −0.034(13) fm 2 and δ r 2 56,53 = −0.218(13) fm 2 , respectively, from the isotope shift of atomic hyperfine structures. The multiconfiguration Dirac-Fock method was used to calculate atomic factors to deduce δ r 2 . The values of δ r 2 exhibit a minimum at the N = 28 neutron shell closure. Nuclear density functional theory with Fayans and Skyrme energy density functionals was used to interpret the data. The trend of δ r 2 along the Fe isotopic chain results from an interplay between single-particle shell structure, pairing, and polarization effects, and provides important data for understanding the intricate trend in the δ r 2 of closed-shell Ca isotopes. Introduction -Since the first estimate of a nuclear charge radius in 1909 [1,2], the size of a nucleus has been a central theme in nuclear structure [3][4][5][6][7]. Significant data on charge radii have been obtained at Isotope Separator On Line (ISOL) facilities, where isotopes of selective elements have been investigated. The ISOL production method, however, suffers from a serious limitation due to long release times from thick targets. This can lead to large decay losses for nuclides that have long diffusion/effusion times, and with short half-lives at the limits of the nuclear chart. In-flight production and separation [8] used in the present study can provide highenergy fast beams and enables studies on nuclides far from the stability line and elements that are difficult at ISOL facilities. Conversion of the fast beams into lowenergy beams in a gas [9] was already exploited, and was used for laser spectroscopy for the first time in the present study on transition-metal Fe known to be notoriously difficult to produce at ISOL facilities. This is a major step forward for laser spectroscopy experiments that complements such capabilities already well established at ISOL facilities.

show abstract

Charge radii of neutron-deficientK36andK37

Cited by 39 publications

References 49 publications

Microscopic method for E0 transition matrix elements

Microscopic method for E0 transition matrix elements

Toward a global description of nuclear charge radii: Exploring the Fayans energy density functional

Charge Radii of Neutron DeficientFe52,53Produced by Projectile Fragmentation

Contact Info

Product

Resources

About