Charge Radius of Neutron-Deficient 
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 and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii

Pineda, Skyy; König, Kristian; Rossi, D.; Brown, B. A.; Incorvati, Anthony; Lantis, Jeremy; Minamisono, K.; Nörtershäuser, W.; Piekarewicz, J.; Powel, Robert; Sommer, Felix

doi:10.1103/physrevlett.127.182503

Cited by 44 publications

(21 citation statements)

References 58 publications

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“…Pairing correlations should always be considered for open-shell nuclei. As shown in our paper, by neglecting pairing [17][18][19][20] one artificially increases the correlation between ∆R mir ch and L. The statistical errors on predicted ∆R mir ch vary between 0.005-0.02 fm, depending on |N − Z|. The systematic uncertainties, however, are significantly larger.…”

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confidence: 51%

“…, can serve as an isovector indicator that can be used to estimate the symmetry energy parameter L. Such estimates can be found in Refs. [17][18][19][20][21] for the 50 Ni/Ti, 52 Ni/Cr, 54 Ni/Fe, and 36 Ca/S mirror pairs. It was concluded [17,18] that the precise data on mirror charge radii can provide a stringent constraint on L. In this study, we examine this finding.…”

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confidence: 99%

“…In this context, we first note that the protonrich mirror partners considered in Refs. [17][18][19][20] are all weakly bound, which appreciably affects pairing correlations due to the pair scattering into the continuum space. For such nuclei, to avoid the appearance of an unphysical particle gas that can impact radial behavior of nucleonic densities, nucleonic pairing must be handled within the full Hartree-Fock-Bogoliubov (HFB) scheme instead of the simpler Bardeen-Cooper-Schrieffer (BCS) approximation [22][23][24].…”

mentioning

confidence: 99%

“…The most promising isovector indicators [7] include neutron radii, neutron skins, dipole polarizability, and parity-violating asymmetry, see, e.g., .Recently, it has been suggested [17] that a difference in the charge radii of mirror nuclei, ∆R mir ch, can serve as an isovector indicator that can be used to estimate the symmetry energy parameter L. Such estimates can be found in Refs. [17][18][19][20][21] for the 50 Ni/Ti, 52 Ni/Cr, 54 Ni/Fe, and 36 Ca/S mirror pairs. It was concluded [17,18] that the precise data on mirror charge radii can provide a stringent constraint on L. In this study, we examine this finding.…”

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confidence: 99%

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Information content of the differences in the charge radii of mirror nuclei

Reinhard,

Nazarewicz

2022

Preprint

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Differences in the charge radii of mirror nuclei have been recently suggested to contain information on the slope of the symmetry energy L. To test this hypothesis, we perform statistical correlation analysis using quantified energy density functionals that are consistent with our previous knowledge on global nuclear observables such as binding energies and charge radii. We conclude that the difference in charge radii between a mirror pair, ∆R mir ch , is an inferior isovector indicator compared to other observables, such at the neutron skin or electric dipole polarizability αD. In particular, this quantity correlates poorly with both the neutron skin and L. We demonstrate that ∆R mir ch is influenced by pairing correlations in the presence of low-lying proton continuum in the proton-rich mirror-partner nucleus. Considering the large theoretical uncertainties on ∆R mir ch , we conclude that the precise data on mirror charge radii cannot provide a stringent constraint on L.Introduction.-A cursory information on properties of atomic nuclei is offered by the droplet model [1,2] whose key parameters are the nuclear matter (or bulk) characteristics such as volume energy E/A, equilibrium density ρ eq , incompressibility K, symmetry energy J, and symmetry energy slope L. These quantities are widely used to characterize and compare nuclear models. The isoscalar parameters (E/A, ρ eq , K) are well determined by empirical data because the chart of nuclei extends over a large range of mass numbers. However, the isovector parameters J and L are poorly constrained because available isotopic chains are fairly short. This is an uncomfortable situation because extrapolations to very neutron rich isotopes and to neutron stars are crucial in nuclear astrophysics [3][4][5][6]. Consequently, there is a great demand for isovector-sensitive data that can be used for constraining the symmetry energy in the various nuclear models. The most promising isovector indicators [7] include neutron radii, neutron skins, dipole polarizability, and parity-violating asymmetry, see, e.g., .Recently, it has been suggested [17] that a difference in the charge radii of mirror nuclei, ∆R mir ch, can serve as an isovector indicator that can be used to estimate the symmetry energy parameter L. Such estimates can be found in Refs. [17][18][19][20][21] for the 50 Ni/Ti, 52 Ni/Cr, 54 Ni/Fe, and 36 Ca/S mirror pairs. It was concluded [17,18] that the precise data on mirror charge radii can provide a stringent constraint on L. In this study, we examine this finding.

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confidence: 51%

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confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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Information content of the differences in the charge radii of mirror nuclei

Reinhard,

Nazarewicz

2022

Preprint

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“…Similar situation is starting to take place regarding the measurement of ∆R ch . As an example, the mirror pairs 36 Ca-36 S and 38 Ca- 38 Ar have been analyzed in [21] and 54 Ni-54 Fe in [22] on the basis of nuclear EDFs. Those studies neglect ISB effects as well as pairing correlations, and also deformation is not treated microscopically.…”

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confidence: 99%

Isospin symmetry breaking in the charge radius difference of mirror nuclei

Naito¹,

Roca-Maza²,

Liang³

et al. 2022

Preprint

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Isospin symmetry breaking (ISB) effects in the charge radius difference ∆R ch of mirror nuclei are studied using the test example of 48 Ca and 48 Ni. This choice allows for a transparent study of ISB contributions since paring and deformation effects, commonly required for the study of mirror nuclei, can be neglected in this specific pair. The connection of ∆R ch with the nuclear Equation of State and the effect of ISB on such a relation are discussed according to an Energy Density Functional approach. We find that nuclear ISB effects may shift the estimated value for the symmetry energy slope parameter L by more than 10 MeV while Coulomb corrections can be neglected. ISB effects on the ground-state energy and charge radii in mirror nuclei have been recently predicted by ab initio calculations to be relatively small, pointing to a negligible effect for the extraction of information on the nuclear EoS. These contrasting results call for a dedicated theoretical effort to solve this overarching problem that impacts not only the neutron skin thickness or the difference in mass and charge radii of mirror nuclei but also other observables such as the Isobaric Analog State energy.

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Isospin effects on intermediate mass fragments at intermediate energy-heavy ion collisions

Wang

Zhang

2022

NUCL SCI TECH

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Charge Radius of Neutron-Deficient Ni54 and Symmetry Energy Constraints Using the Difference in Mirror Pair Charge Radii

Cited by 44 publications

References 58 publications

Information content of the differences in the charge radii of mirror nuclei

Information content of the differences in the charge radii of mirror nuclei

Isospin symmetry breaking in the charge radius difference of mirror nuclei

Isospin effects on intermediate mass fragments at intermediate energy-heavy ion collisions

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