Lithium transition energies and isotopic shift: three correlated electron states

2005 ◽  
Vol 83 (4) ◽  
pp. 467-474 ◽  
Author(s):  
M Tomaselli
Keyword(s):  
Nuclear Charge ◽  
Wave Functions ◽  
Large Contribution ◽  
Correlation Model ◽  
Transition Energies ◽  
Polarization Effects ◽  
Dynamic Correlation ◽  
Nuclear Charge Distribution ◽  
Correlated Electron ◽  
Configuration Mixing

Energies of the 1s22s2S1/2 and the 1s23s2S1/2 of the lithium isotopes are calculated in a dynamic correlation model. With the evaluated configuration mixing wave functions the polarization effects resulting from an extended nuclear charge distribution are evaluated. A relative large contribution for 7Li is observed.PACS Nos.: 32.10.Fn, 21.10.Ft, 27.20.+n

EFFECTS OF STRONG INTERACTIONS AND FINITE NUCLEAR CHARGE RADIUS IN PIONIC ATOMS

1967 ◽  
Vol 45 (10) ◽  
pp. 3313-3318 ◽  
Author(s):  
L. P. Fulcher ◽  
J. M. Eisenberg ◽  
J. LeTourneux
Keyword(s):  
Charge Radius ◽  
Nuclear Charge ◽  
Wave Functions ◽  
Light Nuclei ◽  
Strong Interactions ◽  
Nuclear Charge Radius ◽  
Charged Sphere ◽  
Nuclear Radius ◽  
Nuclear Charge Distribution ◽  
Square Well

For studies involving the interaction of bound pions with the atomic nucleus, it is essential to investigate details of the pionic wave function at the nucleus. These are especially important for the1S orbitals, where both the repulsive strong interaction and the effects of finite nuclear charge radius are important. We present calculations based on the use of a square-well potential to simulate the strong interactions. The nuclear charge distribution is taken to be that of a uniformly charged sphere. The corresponding Schrödinger equation is solved exactly. The square-well radius is taken to be the same as the nuclear radius, and its strength is chosen so as to obtain agreement with the observed 2P−1S energy differences. For light nuclei, the probability of finding the meson in the nucleus is found to be approximately one-fourth to one-half that calculated with conventional hydrogenic wave functions.

scholarly journals Temperature-Induced Plasmon Excitations for the α–T3 Lattice in Perpendicular Magnetic Field

Nanomaterials ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 1720
Author(s):  
Antonios Balassis ◽  
Godfrey Gumbs ◽  
Oleksiy Roslyak
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Zeeman Splitting ◽  
Mass Term ◽  
Energy Dispersive Spectrum ◽  
Wave Functions ◽  
Transition Energies ◽  
Gap Opening ◽  
Quantizing Magnetic Field

We have investigated the α–T3 model in the presence of a mass term which opens a gap in the energy dispersive spectrum, as well as under a uniform perpendicular quantizing magnetic field. The gap opening mass term plays the role of Zeeman splitting at low magnetic fields for this pseudospin-1 system, and, as a consequence, we are able to compare physical properties of the the α–T3 model at low and high magnetic fields. Specifically, we explore the magnetoplasmon dispersion relation in these two extreme limits. Central to the calculation of these collective modes is the dielectric function which is determined by the polarizability of the system. This latter function is generated by transition energies between subband states, as well as the overlap of their wave functions.

Isotope shift and hyperfine structure in the atomic spectrum of tin

1973 ◽  
Vol 332 (1588) ◽  
pp. 129-138 ◽  
Keyword(s):  
Stable Isotopes ◽  
Hyperfine Structure ◽  
Nuclear Charge ◽  
Light Sources ◽  
Atomic Spectrum ◽  
Nuclear Charge Distribution ◽  
Fabry Perot ◽  
Self Consistent ◽  
Structure Constants ◽  
Good Agreement

Three lines in the atomic spectrum of tin, λ 3262 Å, λ 3283 Å and λ 6454Å have been studied in emission under high resolution with the use of light sources containing enriched isotopic samples. Results are reported for isotope shifts in these lines for the abundant stable isotopes ( A ≽ 116). Pressure-scanned Fabry–Perot etalons provided the necessary resolution; the spectrograms for λ 6454 Å were recorded and analysed by digital techniques, and for this line hyperfine structure constants required in the interpretation of the data were also evaluated. The results for the three lines are not in good agreement with earlier work, but are shown to be self-consistent by means of a King plot. Their interpretation in terms of the nuclear charge distribution is considered in the following paper.

Mu-Mesonic X-Rays and the Shape of the Nuclear Charge Distribution

1954 ◽  
Vol 94 (6) ◽  
pp. 1617-1629 ◽  
Author(s):  
David L. Hill ◽  
Kenneth W. Ford
Keyword(s):  
Charge Distribution ◽  
Nuclear Charge ◽  
X Rays ◽  
Nuclear Charge Distribution

scholarly journals The diffraction of electrons in the halogens

1934 ◽  
Vol 144 (852) ◽  
pp. 360-377 ◽  
Keyword(s):  
Angular Distribution ◽  
Kinetic Energy ◽  
Electronic Structures ◽  
Nuclear Charge ◽  
Incident Beam ◽  
Electron Shell ◽  
Wave Functions ◽  
Outer Electron ◽  
Satisfactory Explanation ◽  
Diffraction Effects

Although the complete theory of the scattering of electrons by gas atoms must take into account the distortion of the incident and scattered waves by the atomic field, the exchange of electrons between the atom and the incident beam, and the disturbance of the atomic wave functions by the incident and scattered waves, a satisfactory explanation of the diffraction effects observed in the angular distribution of the elastically scattered electrons is obtained simply by considering the distortion of the incident wave by the undisturbed field of the atom. The scattering at large angles will then mainly depend upon the nature of the atomic field at the point in the atom where the potential energy of the incident electrons is equal to their kinetic energy. Now the magnitude and gradient of the field at any point within the atom at a distance r from the centre is determined mainly by the nuclear charge and the screening constants of the electrons within the radius r , and hence the nature of the field at a point well within the outer electron shell will be similar for atoms whose electronic structures differ only in the constitution of the outer shell.

scholarly journals On the quenching of Gamow–Teller strength

1987 ◽  
Vol 65 (6) ◽  
pp. 574-577 ◽  
Author(s):  
J. Rapaport
Keyword(s):  
Cross Sections ◽  
Wave Functions ◽  
Light Nuclei ◽  
Final States ◽  
Excitation Energies ◽  
Intermediate Energies ◽  
Quenching Factor ◽  
Configuration Mixing ◽  
Gamow Teller ◽  
Model Strength

The (p, n) reaction at intermediate energies has been used to measure differential cross sections in light nuclei to final states characterized with a ΔJπ = 1+ transfer (Gamow–Teller (GT) states). Experimental ft values for allowed beta-decay transitions in these nuclei are used to normalize the strength of the GT transitions in units of B(GT). This experimental GT strength is compared with predicted shell–model strength. For p-shell nuclei, the calculated excitation energies of the GT strength using Cohen and Kurath wave functions are in general agreement with the empirical GT distribution. Up to an excitation energy of about 20 MeV, the total experimental and calculated GT strengths are used to obtain the quenching factor, QF = Σ B(GT)exp/Σ B(GT)theor. It is found that QF decreases as the shell gets filled-up. The lowest value seems to occur for single-hole nuclei. This decrease may be explained by configuration mixing not specifically included in the calculations.

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