The odd-even staggering of the nuclear charge radii of Pb isotopes

Anselment, M.; Faubel, W.; Göring, S.; Hanser, Α.; Meisel, G.; Rebel, H.; Schatz, G.

doi:10.1016/0375-9474(86)90071-0

Cited by 144 publications

(82 citation statements)

References 15 publications

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“….5), respectively. Experimental data for S n , including those derived from systematic trends, are from [69,70]; data for δ r 2 ch are from [71][72][73].…”

Section: Numerical Results For Some Isotope Chainsmentioning

confidence: 99%

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Nuclear isotope shifts within the local energy-density functional approach

et al. 2000

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The foundation of the local energy-density functional method to describe the nuclear ground-state properties is given. The method is used to investigate differential observables such as the odd-even mass differences and odd-even effects in charge radii. For a few isotope chains of spherical nuclei, the calculations are performed with an exact treatment of the Gor'kov equations in the coordinate-space representation. A zero-range cutoff density-dependent pairing interaction with a density-gradient term is used. The evolution of charge radii and nucleon separation energies is reproduced reasonably well including kinks at magic neutron numbers and sizes of staggering. It is shown that the density-dependent pairing may also induce sizeable staggering and kinks in the evolution of the mean energies of multipole excitations. The results are compared with the conventional mean field Skyrme-HFB and relativistic Hartree-BCS calculations. With the formulated approach, an extrapolation from the pairing properties of finite nuclei to pairing in infinite matter is considered, and the dilute limit near the critical point, at which the regime changes from weak to strong pairing, is discussed. 21.65.+f; 21.90.+f; 24.10.Cn PACS

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“….5), respectively. Experimental data for S n , including those derived from systematic trends, are from [69,70]; data for δ r 2 ch are from [71][72][73].…”

Section: Numerical Results For Some Isotope Chainsmentioning

confidence: 99%

“…The calculated neutron separation energies and differences of mean squared charge radii with respect to 116 Sn for tin isotopes with mass number from Solid circles: experimental data for S 2n , including those derived from systematic trends, from [70], and data for δ r 2 ch from [71][72][73]. [81].…”

Section: Numerical Results For Some Isotope Chainsmentioning

confidence: 99%

Nuclear isotope shifts within the local energy-density functional approach

et al. 2000

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“…4 and compared to the hr 2 i of the lead isotope chain [30] and the iso-deformation lines for 2 ¼ 0, 0.1, and 0.15, derived using the second parametrization of the FRDM [31,32]. There is a remarkably close correlation between the odd-even staggering trend in the lead and francium isotope chains between N ¼ 118 and N ¼ 126.…”

Section: Nm)mentioning

confidence: 95%

“…The magnetic moments of 203;205 Fr closely match the steadily decreasing trend from ¼ þ4:02ð8Þ N at N ¼ 126 [23] to ¼ þ3:73ð4Þ N at N ¼ 116, suggesting that the ground state is still dominated by a spherical ðh [23]. The data are compared to the trend of hr 2 i in the lead isotopes [30]. Iso-deformation lines for constant 2 ¼ 0, 0.1, and 0.15 are shown as dashed lines [31,32].…”

Section: Nm)mentioning

confidence: 97%

Collinear Resonance Ionization Spectroscopy of Neutron-Deficient Francium Isotopes

et al. 2013

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The magnetic moments and isotope shifts of the neutron-deficient francium isotopes [202][203][204][205] Fr were measured at ISOLDE-CERN with use of collinear resonance ionization spectroscopy. A production-todetection efficiency of 1% was measured for 202 Fr. The background from nonresonant and collisional ionization was maintained below one ion in 10 5 beam particles. There are surprisingly few nuclear observables with which theorists can elucidate the nuclear force and interacting many-fermion problem. The laser spectroscopy technique reported here has measured two of these (the magnetic moment and mean-square charge radius) via the hyperfine interaction and isotope shift. This is achieved without introducing assumptions associated with any particular approach, making these measurements suitable for testing modern nuclear models. A variety of laser spectroscopy techniques now exists for studying shortlived radioactive isotopes, which broadly focus on either high resolution (< 100 MHz linewidth) or high sensitivity (< 1 atom=s) [1,2].We report here the first measurements of 202;203;205 Fr, reaching 11 neutrons from the N ¼ 126 shell closure. This has been made possible by a new highly sensitive, highresolution technique of bunched collinear-beam resonance ionization spectroscopy (CRIS). The CRIS technique combines for the first time velocity bunching (provided by the collinear geometry [3,4]) and time bunching (to eliminate the duty loss of required pulsed laser systems). The high sensitivity is reached through a combination of the excellent overlap of laser and beam, and the high quantum efficiency of ion detectors. This new technique may be applied generally to all nuclides, but it is at the limits of nuclear stability that it will manifest its particular advantages.The CRIS method was first proposed more than 30 years ago [5], and its sub-Doppler resolution was demonstrated by Schultz et al., who measured the radioactive isotopes of ytterbium [6]. Since these isotopes were produced as a continuous beam, the duty cycle losses associated with pulsed lasers introduced a loss in efficiency by a factor of 30, which contributed to a low total experimental efficiency of 0.001%. With the installation of a gas-filled radio frequency quadrupole ion trap (ISCOOL) at ISOLDE, bunched ion beams that match the duty cycle of the pulsed lasers are now available [7]. This motivated the development of a dedicated experiment to exploit the CRIS technique applied to time-bunched beams. In the present case it allowed for the first time measurements of the neutrondeficient francium isotopes with half-lives as short as 300 ms and production rates below 100 atoms=s.In our work the francium isotopes were produced through spallation reactions induced by 1.4 GeV protons, incident on a high temperature uranium carbide target (2000 C) and surface ionized (ionization potential 4.07 eV [8]) with use of a tantalum ionizer tube. A schematic of the experiment is presented in Fig. 1. The beam was accelerated to 50 keV, mass separated, and sub...

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“…It has been found [6] In table I, we present A and B hyperfine structure constants of the low-lying states of Pb + . We use the Lande nuclear g-factor, g I = 0.28468 to calculate A and nuclear quadrupole moment, Q = 0.234 to calculate B [14]. From the differences of the DF and RCC results given in table I, it is evident that for both the hyperfine constants A and B the electron correlation effects vary from (10-290)%.…”

Section: Resultsmentioning

confidence: 99%

Many-body effects in hyperfine interactions in 205Pb+

Majumder

Sahoo²,

Chaudhuri³

et al. 2006

Eur. Phys. J. D

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Ab initio calculations have been carried out to study the magnetic dipole and electric quadrupole hyperfine structure constants of 205 Pb + . Many-body effects have been considered to all orders using the relativistic coupled-cluster theory in the singles, doubles and partial triples approximation. The trends of these effects are found to be different from atomic systems that have been studied earlier.

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The odd-even staggering of the nuclear charge radii of Pb isotopes

Cited by 144 publications

References 15 publications

Nuclear isotope shifts within the local energy-density functional approach

Nuclear isotope shifts within the local energy-density functional approach

Collinear Resonance Ionization Spectroscopy of Neutron-Deficient Francium Isotopes

Many-body effects in hyperfine interactions in 205Pb+

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