Implications of the 
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Brown, B. A.; Minamisono, K.; Piekarewicz, J.; Hergert, H.; Garand, D.; Klose, A.; König, Kristian; Lantis, Jeremy; Liu, Y.; Maaß, B.; Miller, A.; Nörtershäuser, W.; Pineda, Skyy; Powel, Robert; Rossi, D.; Sommer, Felix; Sumithrarachchi, C.; Teigelhöfer, A.; Watkins, J.; Wirth, R.

doi:10.1103/physrevresearch.2.022035

Cited by 27 publications

(18 citation statements)

References 46 publications

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“…While the EMλ/ interactions underpredict the absolute charge radii, they fare quite well in the description of radius differences, as suggested in the previous section. Figure 9B is adapted from a recent study that suggests a correlation between the charge radius difference of mirror nuclei, R ch , and the slope of the symmetry energy in the nuclear matter equation of state [228]. We see that the MR-IMSRG results for R ch are actually compatible with results from a multitude of Skyrme EDFs, and the value for the magic EM1.8/2.0 interaction falls into the uncertainty band of the experimental result.…”

Section: Accessing More Observablessupporting

confidence: 66%

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A Guided Tour of ab initio Nuclear Many-Body Theory

2020

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Over the last decade, new developments in Similarity Renormalization Group techniques and nuclear many-body methods have dramatically increased the capabilities of ab initio nuclear structure and reaction theory. Ground and excited-state properties can be computed up to the tin region, and from the proton to the presumptive neutron drip lines, providing unprecedented opportunities to confront two-plus three-nucleon interactions from chiral Effective Field Theory with experimental data. In this contribution, I will give a broad survey of the current status of nuclear many-body approaches, and I will use selected results to discuss both achievements and open issues that need to be addressed in the coming decade.

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Section: Accessing More Observablessupporting

confidence: 66%

“…The band indicates the experimental result from the BECOLA facility at NSCL. See reference[228] for details.…”

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confidence: 99%

A Guided Tour of ab initio Nuclear Many-Body Theory

2020

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“…Furthermore, the fast beam velocity and in-flight detection make this technique, almost exclusively, the method of choice to access short-lived exotic isotopes. Measurements of hyperfine spectra of these isotopes are of high interest due to the direct link to the nuclear charge radius and electromagnetic moments, leading to investigations of, e.g., the nuclear shell structure [1,2], the nuclear superfluidity [6], the odd-even staggering in charge radii [7], the halo nuclei [8][9][10], and the nuclear equation of state [11,12].…”

Section: Introductionmentioning

confidence: 99%

Kinetic-beam-energy determination via collinear laser spectroscopy

König,

Minamisono,

Lantis

et al. 2021

Preprint

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An approach to determine the kinetic beam energy at the 10 −5 level is presented, which corresponds to an improvement by more than one order of magnitude compared to conventional methods. Particularly, collinear fluorescence and resonance ionization spectroscopy measurements on rare isotope beams, where the beam energy is a major contribution to the uncertainty, can benefit from this method. The approach is based on collinear spectroscopy and requires no special equipment besides a wavelength meter, which is commonly available. Its advent is demonstrated in a proof-of-principle experiment on a Ni beam. In preparation for the energy measurement, the rest-frame transition frequencies of the 3d 9 4s 3 D3 → 3d 9 4p 3 P2 transitions in neutral nickel isotopes have been identified to be ν0( 58 Ni) = 850 343 678 (20) MHz and ν0( 60 Ni) = 850 344 183 (20) MHz.

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“…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%

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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Implications of the Ca−36S36 and Ca

Cited by 27 publications

References 46 publications

A Guided Tour of ab initio Nuclear Many-Body Theory

A Guided Tour of ab initio Nuclear Many-Body Theory

Kinetic-beam-energy determination via collinear laser spectroscopy

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

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