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Register a new userNuclear deformation effect on the binding energies in heavy ions
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Added by
Yury Kozhedub Sergeevich
Publication date
2007
fields
Physics
and research's language is
English
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Nuclear deformation effects on the binding energies in heavy ions are investigated. Approximate formulas for the nuclear-size correction and the isotope shift for deformed nuclei are derived. Combined with direct numerical evaluations, these formulas are employed to reanalyse experimental data on the nuclear-charge-distribution parameters in $^{238}textrm{U}$ and to revise the nuclear-size corrections to the binding energies in H- and Li-like $^{238}textrm{U}$. As a result, the theoretical uncertainties for the ground-state Lamb shift in $^{238}textrm{U}^{91+}$ and for the $2p_{1/2}-2s$ transition energy in $^{238}textrm{U}^{89+}$ are significantly reduced. The isotope shift of the $2p_{j}-2s$ transition energies for $^{142}textrm{Nd}^{57+}$ and $^{150}textrm{Nd}^{57+}$ is also evaluated including nuclear size and nuclear recoil effects within a full QED treatment.
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The most precise to-date evaluation of the nuclear recoil effect on the $n=1$ and $n=2$ energy levels of He-like ions is presented in the range $Z=12-100$. The one-electron recoil contribution is calculated within the framework of the rigorous QED approach to first order in the electron-to-nucleus mass ratio $m/M$ and to all orders in the parameter $alpha Z$. The two-electron $m/M$ recoil term is calculated employing the $1/Z$ perturbation theory. The recoil contribution of the zeroth order in $1/Z$ is evaluated to all orders in $alpha Z$, while the $1/Z$ term is calculated using the Breit approximation. The recoil corrections of the second and higher orders in $1/Z$ are taken into account within the nonrelativistic approach. The obtained results are compared with the previous evaluation of this effect [A. N. Artemyev et al., Phys. Rev. A 71, 062104 (2005)].
The nuclear recoil correction to the g factor of boronlike ions is evaluated within the lowest-order relativistic (Breit) approximation. The interelectronic-interaction effects are taken into account to the first order of the perturbation theory in 1/Z. Higher orders in 1/Z are partly accounted for by means of the effective screening potential. The most accurate up-to-date values of this contribution are presented for the ions in the range Z=10-20.
The abundance of interstellar ice constituents is usually expressed with respect to the water ice because, in denser regions, a significant portion of the interstellar grain surface would be covered by water ice. The binding energy (BE), or adsorption energy of the interstellar species regulates the chemical complexity of the interstellar grain mantle. Due to the high abundance of water ice, the BE of surface species with the water is usually provided and widely used in astrochemical modeling. However, the hydrogen molecules would cover some part of the grain mantle in the denser and colder part of the interstellar medium. Even at around ~ 10K, few atoms and simple molecules with lower adsorption energies can migrate through the surface. The BE of the surface species with H2 substrate would be very different from that of a water substrate. However, adequate information regarding these differences is lacking. Here, we employ the quantum chemical calculation to provide the BE of 95 interstellar species with H2 substrate. These are representative of the BEs of species to a H2 overlayer on a grain surface. On average, we notice that the BE with the H2 monomer substrate is almost ten times lower than the BE of these species reported earlier with the H2 O c-tetramer configuration. The encounter desorption of H and H2 was introduced (with ED (H, H2 ) =45 K and ED (H2 , H2 ) =23 K) to have a realistic estimation of the abundances of the surface species in the colder and denser region. Our quantum chemical calculations yield higher adsorption energy of H2 than that of H (ED (H, H2 ) = 23 - 25 K and ED (H2, H2 ) =67 - 79 K). We further implement an astrochemical model to study the effect of encounter desorption with the resent realistic estimation. The encounter desorption of the N atom (calculations yield ED (N, H2 ) =83 K) is introduced to study the differences with its inclusion.
The low-energy electron spectra emitted in the radioactive decay of the $^{83}$Rb and $^{83}$Sr isotopes were measured with a combined electrostatic electron spectrometer. Radioactive sources used were prepared by ion implantation of $^{83}$Sr into a high purity polycrystalline platinum foil at 30 keV and by vacuum-evaporation deposition of $^{83}$ Rb on the same type of foil. From the measured conversion electron spectra, the electron binding energies (referenced to the Fermi level) for the K, L$_1$ , L$_2$ , L$_3$ , M$_1$ , M$_2$, and M$_3$ shell/subshells of krypton in the platinum host were determined to be 14 316.4(12), 1 914.3(9), 1 720.3(9), 1 667.6(9), 281.5(9), 209.6(13), and 201.2(15) eV, respectively, and those for the evaporated layer were observed to be lower by 0.7(1) eV. For both host matrices, values of 2.3(2), 4.6(2), 1.7(2), 1.3(2), and 3.2(3) eV were obtained for the krypton K, L$_1$ , L$_2$ , L$_3$ , and M$_1$ natural atomic level widths, respectively. The absolute energies of 10 838.5(9) and 10 839.5(10) eV were measured for the KL$_2$L$_3$ ($^{1}$D$_2$) Auger transition in krypton implanted in Pt and generated in the evaporated rubidium layer, respectively. A value of 601.0(8) eV was measured for the energy difference of the KL$_2$L$_3$ ($^{1}$D$_2$) transitions in Rb and Kr in the Pt host. Multiconfiguration Dirac-Fock calculations of the krypton KLL transition energies and intensities were also performed.
Nuclear mass contains a wealth of nuclear structure information, and has been widely employed to extract the nuclear effective interactions. The known nuclear mass is usually extracted from the experimental atomic mass by subtracting the masses of electrons and adding the binding energy of electrons in the atom. However, the binding energies of electrons are sometimes neglected in extracting the known nuclear masses. The influence of binding energies of electrons on nuclear mass predictions are carefully investigated in this work. If the binding energies of electrons are directly subtracted from the theoretical mass predictions, the rms deviations of nuclear mass predictions with respect to the known data are increased by about $200$ keV for nuclei with $Z, Ngeqslant 8$. Furthermore, by using the Coulomb energies between protons to absorb the binding energies of electrons, their influence on the rms deviations is significantly reduced to only about $10$ keV for nuclei with $Z, Ngeqslant 8$. However, the binding energies of electrons are still important for the heavy nuclei, about $150$ keV for nuclei around $Z=100$ and up to about $500$ keV for nuclei around $Z=120$. Therefore, it is necessary to consider the binding energies of electrons to reliably predict the masses of heavy nuclei at an accuracy of hundreds of keV.
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