Nuclear Radii and Moments of Unstable Isotopes

Otten, Ernst W.

doi:10.1007/978-1-4613-0713-6_7

Cited by 216 publications

(247 citation statements)

References 239 publications

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“…The charge radii (r c ) of the Pb isotopes have been measured a few years ago with a very high precision [1], their anomalous kink behavior being the most essential feature of these measurements. The kink effect (KE) means that the experimental data on r c as a function of A in the isotopic chain display a change of the slope at N=126 with a gradual addition of neutrons.…”

mentioning

confidence: 99%

On the relativistic origin of the kink effect in the chain of Pb isotopes

Marcos¹,

Savushkin²,

López−Quelle³

et al. 2001

Physics Letters B

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We investigate the origin of the kink effect (KE) in the relativistic mean field theory by transforming the single-particle Dirac equation into a Schrödinger-like equation. It is found that relativistic self-consistent effects as well as contributions coming from the ρ meson determine the actual structure of the KE. However, the spin-orbit force generated by the ρ meson has no significant influence on the KE. On the other hand, in Refs. [3,4] the anomalous behavior of the charge radii of these isotopes has been studied in the relativistic mean field approach (RMFA). The Pb data are well described by this type of theory. In Ref.[4] it is supposed that the success of the RMFA in reproducing the KE is achieved due to the weak isovector dependence of the spin-orbit force generated by the RMFA.In Ref.[5] the problem of isotopic shifts has been investigated with exhaustive detail, both in the SHF and RMFA. The authors of Ref.[5] have proposed a new Skyrme functional SkI4 with a more general structure of the spin-orbit force than that of the standard Skyrme functional. They have also succeeded to reproduce the KE, but at the price of introducing an extra parameter for the two body spin-orbit potential.As the authors of Refs. [3,4] state, the standard RMFA provides an excellent description of the anomalous kink in the isotopic shifts about 208 P b without using extra fitting parameters. In the present paper we shall focus our interest into the problem of the origin of the KE in the RMFA paying special attention to the role of the isovector ρ meson in the kink structure.In the RMFA [6], the relativistic single-nucleon wave function ψ( r), for a nucleon with the rest mass M, satisfies the Dirac equationwhere E = M + ε and ε is the binding energy eigenvalue while S( r) and V ( r) are the scalar and vector potentials, respectively, defined as follows: where the central potential V cent and the spin-orbit potential V SO are given by: For simplicity, we shall mainly concentrate our discussion in the three Pb isotopes 206 P b, 208 P b and 210 P b. The most stable configuration of the 210 P b isotope in the two nonlinear models considered contains two neutrons in the 1i 11/2 states. In the L model, the two configurations in which two neutrons fill up the 1i 11/2 or 2g 9/2 single-particle states are almost degenerate (we shall refer to these two configurations as IC and GC, respectively).We approach the 210 P b ground state by the IC in both linear and nonlinear models, although the BCS formalism would be more appropriate in the first case. Nevertheless, we expect that our conclusions are also valid for the L model, at least, at a qualitative level.The self-consistent results for the charge radii corresponding to the exact models are summarized in Table I, case a, and in Fig. 1 (the r c are normalized in this figure to the 3

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mentioning

confidence: 99%

On the relativistic origin of the kink effect in the chain of Pb isotopes

Marcos¹,

Savushkin²,

López−Quelle³

et al. 2001

Physics Letters B

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“…In order to test the sensitivity of the resulting transition frequency to the unresolved hyperfine splitting and the particular lineshape model, 9 Be spectra obtained in collinear and anti-collinear excitation were also fitted independently with different lineshape functions. Besides the fit with fixed 2p 3/2 hyperfine parameters described above, fits with single Voigt, Gaussian and Lorentzian profiles for each of the two hyperfine peaks, constrained to have common line widths parameters, were performed.…”

Section: Resultsmentioning

confidence: 99%

“…The isotope shifts relative to 9 Be were calculated from the fitting results and are listed in table 1. Using the precise mass-shift calculations from [20,30] the field shift, which is proportional to the change in the mean-square nuclear charge radius, can be calculated by…”

Section: Resultsmentioning

confidence: 99%

“…Collinear laser spectroscopy in combination with the β-NMR technique allowed the determination of the spin and the magnetic dipole moment of 11 Li [10] and 11 Be [11] as well as the determination of the electric quadrupole moment of 11 Li [12]. The results could be used to exclude a possible deformation of 11 Li because the spin 3/2 belongs to a spherical state, the magnetic moment lies close to the Schmidt value, and the quadrupole moment is similar to that of 9 Li. Both these values, which were improved recently [13,14], again indicate that the nucleus is nearly spherical.…”

Section: Introductionmentioning

confidence: 99%

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Isotope shift measurements in the 2s_1/2→ 2p_3/2transition of Be⁺and extraction of the nuclear charge radii for^{7, 10, 11}Be

Žáková

Andjelkovic

Bissell

et al. 2010

J. Phys. G: Nucl. Part. Phys.

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Abstract. We have performed isotope shift measurements in the 2s 1/2 → 2p 3/2 transition of Be + ions using advanced collinear laser spectroscopy with two counterpropagating laser beams. Measurements involving a frequency comb for laser stabilization and absolute frequency determination allowed us to determine the isotope shifts with an accuracy of 2 MHz. From the isotope shifts between 9 Be and 7,10,11 Be, high-accuracy mass shift calculations and the charge radius of the reference isotope 9 Be we determined nuclear charge radii for the isotopes 7,10 Be and the one-neutron halo nucleus 11 Be. The results are compared to nuclear-structure calculations using the Fermionic Molecular Dynamics model which reproduce well the general trend of the radii. Decreasing charge radii from 7 Be to 10 Be are explained by the cluster structure of the nuclei. The increase from 10 Be to 11 Be is mainly caused by the halo neutron by which the 10 Be core moves relative to the center of mass. Polarization of the 10 Be core has only a small influence on the charge radius.

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“…3, the RMS nuclear proton radii (r p ) are also shown. The RMS nuclear proton radii are deduced from the data of electron-scattering and of isotope-shift measurements [12]. For 32−35 Na, we estimate the RMS nuclear charge radii by extrapolating from the known values [13], because of the lack of experimental data for these nuclei.…”

Section: Neutron-skin Thickness Of Na Isotopesmentioning

confidence: 99%

Measurements of interaction cross sections for^22–35Na isotopes

Suzuki

Takechi²,

Ohtsubo

et al. 2014

EPJ Web of Conferences

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Abstract. Interaction cross sections (σ I ) for 22−35 Na isotopes from the stability line to the vicinity of the neutron drip line have been measured at around 240 MeV/nucleon. The σ I for 33−35 Na were measured for the first time. Enhancement in cross sections is clearly observed from the systematics for stable nuclei, for isotopes with large mass numbers. From the known values of the nuclear-deformation parameters β 2 of 22−31 Na, these enhancement can be mainly ascribed to the nuclear deformation. Large enhancement in heavier isotopes suggest that these nuclei are strongly deformed. The root-mean-square (RMS) nuclear matter radii were deduced from the σ I by using Glauber-type calculation. Furthermore, a monotonic growth of the neutron-skin thickness has been deduced with increasing neutron number for Na isotopes.

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Nuclear Radii and Moments of Unstable Isotopes

Cited by 216 publications

References 239 publications

On the relativistic origin of the kink effect in the chain of Pb isotopes

On the relativistic origin of the kink effect in the chain of Pb isotopes

Isotope shift measurements in the 2s_1/2→ 2p_3/2transition of Be⁺and extraction of the nuclear charge radii for^{7, 10, 11}Be

Measurements of interaction cross sections for^22–35Na isotopes

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Nuclear Radii and Moments of Unstable Isotopes

Cited by 216 publications

References 239 publications

On the relativistic origin of the kink effect in the chain of Pb isotopes

On the relativistic origin of the kink effect in the chain of Pb isotopes

Isotope shift measurements in the 2s1/2→ 2p3/2transition of Be+and extraction of the nuclear charge radii for7, 10, 11Be

Measurements of interaction cross sections for22–35Na isotopes

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Isotope shift measurements in the 2s_1/2→ 2p_3/2transition of Be⁺and extraction of the nuclear charge radii for^{7, 10, 11}Be

Measurements of interaction cross sections for^22–35Na isotopes