Level crossing investigation of the 6p 2 P 3/2 and 7p 2 P 3/2 levels of Cs133, Cs135, and Cs137

The level crossing method has been used for the investigation of the hyperfine structure of the 6p²P_3/2 and 7p²P_3/2 levels of the isotopes Cs¹³³, Cs¹³⁵, and Cs¹³⁷. For the hyperfine coupling constants a and b and for the lifetimes Τ we find: a(6p Cs¹³³)=50.72(3) g_J/?1.345, b(6p Cs¹³³)=?0.38(18) g_J/?1.345 a(7p Cs¹³³)=16.610(6) g_J/?1.3349, b(7p Cs¹³³)=?0.15(3) g_J/?1.3349 a(6p Cs¹³⁵)=53.64(4) g_J/?1.345, b(6p Cs¹³⁵)=7.41(32) g_J/?1.345 a(7p Cs¹³⁵)=17.570(6) g_J/?1.3349, b(7p Cs¹³⁵)=2.35(7) g_J/?1.3349 a(6p Cs¹³⁷)=55.80(4) g_J/?1.345, b(6p Cs¹³⁷)=7.54(20) g_J/?1.345 a(7p Cs¹³⁷)=18.274(6) g_J/?1.3349, b(7p Cs¹³⁷)=2.37(4) g_J/?1.3349 (MHz), Τ(6p²P_3/2)=29.7(2) ?1.345/g_J ns, Τ(7p²P_3/2)=135(1) ?1.3349_Jns. From a comparison with double resonance results the g_J factor of the 7p²P_3/2 level was deduced: g_J(7p²P_3/2=?1.3349(10). Level crossing measurements in the 8p²P_3/2 state of Cs¹³³ give for the g_J factor and the lifetime the following results: g_J(8p²P_3/2)=?1.3353(14), Τ(8p²P_3/2)=310(15) ns. Using recently calculated relativistic correction factors and applying corrections for core polarization and the Sternheimer effect, we obtain for the quadrupole moments: Q(Cs¹³³)=?0.0030 b, Q(Cs¹³⁵)=+0.052 b, Q(Cs¹³⁷)=+0.052 b.     

The hyperfine structure of they 8 p-multiplet of 4f 7(8 S) 6s 6p in EuI

The hyperfine splitting constants of the 4f ⁷ 6s 6p y ⁸ P _7/2 level of Eul were determined using the level crossing method. These values and those for the hyperfine splittings of the other 4f ⁷ 6s 6p levels are compared to theoretical values calculated with eigenfunctions of Smith and Collins. For the quadrupole coupling constants a better agreement between theory and experiment is obtained if different 〈r ^?3〉 _p -parameters are assumed for 4f(⁸ S) 6s 6p(³ P) and for 4f ⁷(⁸ S) 6s 6p(¹ P).     

~6Li原子跃迁频率和超精细分裂的精密测量

本文实现了可用于锂原子频率精密测量的冷原子系统,获得了大数目的原子样品;利用西西弗斯冷却和速度选择相干布居俘获实现了~6Li的冷原子的灰色黏胶冷却,原子的温度被冷却到多普勒冷却极限以下,达到50μK;利用光学频率梳,实验上测量了D1线的跃迁频率和超精细分裂,测量结果和理论计算相接近,可以和目前最精确的测量相比较.这些测量为进一步的轻质量原子频率的精密测量、α常数以及核半径的精确标定打下了基础.     

Measurement of the hyperfine structure splitting for the 4 and 52 P 1/2 states of sodium using radio-frequency spectroscopy

The hyperfine-structure splitting for the 4 and 5² P ^1/2 states of sodium was measured using step-wise laser excitation combined with rf-resonance techniques. The magnetic dipole interaction constants were found to be a(4² P _1/2)=30.4(5) MHz and a(5₂ P _1/2) =13.3(2) MHz. The results are compared with a theoretical calculation, taking polarization effects into account.     

Level crossing in hyperfine interactions studied by perturbed γ-γ angular correlations

The technique of differential γ-γ angular correlation measurements has been applied to an investigation of the hyperfine interactions in the 482 keV level of¹⁸¹Ta. The activity was embedded in the lattice of a hafnium single crystal. The investigation of the quadrupole interaction gave for the electric interaction frequencyω ₀=(313±4) MHz. The electric field gradient was found to be axially symmetric, the asymmetry parameter beingη<0.1. Furthermore the combined collinear magnetic dipole and electric quadrupole interaction was studied. The angular correlation was investigated as a function of the strength of the external magnetic field by integral as well as time differential measurements. The integral anisotropy as function of the magnetic field has the shape of a resonance curve. The maximum was observed at a magnetic field ofB _res=(24.2±0.5)kG.     

Thermal-energy Pooling Collisions in Cesium Vapor6P3/2+6P3/2→7PJ+6S1/2

In this paper, the results of an experimental study on 6P3/2+6P3/2→7PJ+6S1/2 energy pooling collisions are presented. The experiment was carried out in cesium vapor using an external cavity diode laser for excitation under different temperatures. It is found that the response of fluorescence intensity to the frequency of excitation laser shows a two-peak phenomenon.     

Temperature dependent splitting of the 59Co hyperfine field in GdCo2

We have studied the temperature dependence of the ⁵⁹Co NMR in the magnetically ordered state in GdCo₂ between 1.3 K and 335 K. A clearly resolved splitting in the ⁵⁹Co spectrum is observed to occur at 200 K. This splitting is interpreted as due to a change in easy axis from [100] to a detection which is not a major symmetry axis. Furthermore, a sharp change in the intensity ratio of the two clearly resolved lines in the spectrum occurs at about 300 K.     

Order alpha(7)ln(1/alpha) contribution to positronium hyperfine splitting

The logarithmically enhanced alpha(7)ln(1/alpha) contribution to the hyperfine splitting of the positronium ground-state energy levels is calculated in the framework of dimensionally regularized nonrelativistic quantum electrodynamics. The correction is negative and amounts to about 1/3 of the leading logarithmic alpha(7)ln (2)(1/alpha) one. The discrepancy between the experimental measurements and the theoretical prediction is reduced.     

Proton-polarizability contribution to the hyperfine splitting in hydrogen

The contribution of the proton polarizability to the hyperfine splitting in hydrogen is evaluated on the basis of modern experimental and theoretical results on the proton polarized structure functions. The value of this correction is 1.4 ppm.     

Measurement of the 8S hyperfine splitting in cesium

The Cs 8S level hfs splitting δ₈ has been measured. The experimental value δ₈ = (900 ± 60) MHz is in good agreement with both other experimental results and theoretical predictions.     

QED and hyperfine splitting in the 2s1/2−2p3/2 X-ray transition in lithium-like Bi80+

The measurement of the Bi⁸⁰⁺ 2s_1/2−2p_3/2 transition energy is discussed. The measurement resolved the hyperfine splitting of the (1s²2s) F=4,5 ground configuration and allowed a determination of the Lamb shift contributions with a precision of about 9 × 10^-4 providing the most accurate test of QED in a high-Z ion to date. This revised version was published online in July 2006 with corrections to the Cover Date.     

Measurement of the hyperfine splitting of the 9 S1/2 level in Cesium by Doppler-free two-photon spectroscopy

The hyperfine splitting for the ¹³³Cs isotope for the 6s ²S_1/2 → 9s ²S_1/2 transition has been measured using Doppler-free two-photon fluorescence spectroscopy in a gas cell for the first time to our knowledge. The hyperfine splitting between the two components was measured to be 8754 (1) MHz and the magnetic dipole coupling constant (A) for the excited 9s ²S_1/2 level was determined to be 109.7 (3) MHz for the ¹³³Cs isotope. The measured values are in good agreement with the earlier reported results.     

Anomalous hyperfine splitting of 57Fe in α-quartz

The hyperfine splitting of ⁵⁷Fe for substitutional Fe³⁺ in synthetic α-quartz was found to increase monotonically with increasing slope of the fine structure transitions exceeding the free ion value several times in highly anisotropic regions. A tentative explanation for this hitherto unreported effect is proposed.     

13C hyperfine splitting in the benzene negative ion

A method is developed to calculate the coefficients appearing in the Høye, Stell and Waisman analytic solution of the Ornstein-Zernike equation for a hard core potential with a direct correlation function of the two Yukawa form. The method is simple and makes the choice of a physical solution easy. The compressibility, energy and virial pressures are calculated in the vicinity of the liquid-gas transition region and their dependence on changing K ₂, the amplitude of the repulsive Yukawa part, is analysed. This method offers promising possibilities for the application of the hard core, two Yukawa (HCTY) system in the theory of fluids.     

MAGNETIC FIELD EFFECT OF THE EUROPIUM a8S7/2-z6P7/2 LINES

The magnetic field effect of a⁸S_7/2-z⁶P_7/2 lines of ¹⁵¹Eu and ¹⁵³Eu in magnetic fields up to 66.7 mT has been studied by using laser atomic beam spectroscopy. The Zeeman level structures of the europium a⁸S_7/2 and z⁶P_7/2 states in magnetic fields were discussed. The location and intensity of the measured Zeeman transition lines were found in good agreement with the theoretical results.     

Precise measurement of hyperfine structure in the 52P1/2 state of Rb

We have measured hyperfine structure in the 5 ²P_1/2 state of Rb using a frequency-stabilized diode laser, which is locked to one hyperfine transition, and an acousto-optic modulator, whose frequency is locked to the interval of interest. We check for optical-pumping errors by repeating the measurement at different values of pump power in the saturated-absorption spectrometer. We obtain precise values of the hyperfine constant: A=120.645(5) MHz for ⁸⁵Rb and A=406.119(7) MHz for ⁸⁷Rb. The values resolve a large discrepancy between two earlier high-accuracy measurements on this state.     

Theoretical investigations on the Stark-Zeeman effect of the 2p~{}^{\mathsf 2}P3/2-level in 6Li for perpendicularly crossed fields

The splitting behaviour of the P_3/2 hyperfine structure levels is investigated in ⁶Li for homogeneous crossed electric and magnetic fields (Stark-Zeeman effect). This is done by diagonalizing the perturbation matrix comprising the hyperfine interaction, the electronic and nuclear magnetic interaction and the effective electric interaction obtained by transforming the quadratic Stark effect to a first order perturbation interaction. Symmetries are used to find analytic formulae for level shifts and crossing points if only one external field is present. A reflection symmetry unbroken with all three interactions present permits the decomposition of the 12 ×12 matrix into two 6 ×6 submatrices. The structure of energy eigenvalue surfaces epsilon_{F,M F}(B,E) of the two subsystems is found by numeric diagonalization of the perturbation matrix and is displayed in the ranges |B|< 1 mT kV/cm. The total angular momentum F = J + I  (J = 3/2, electronic angular momentum, I = 1, nuclear spin) and the magnetic quantum number M_F provide labels for all surfaces. All crossing points of the energy surfaces have been found. Adiabatic level transfer occurring in atoms traversing a sequence of crossed magnetic and electric fields is explained. Berry phases occur for cycles around some crossing points. Their presence or absence is explained.     

2 S 1/2-states of Pb3+-ions: Correlations betweeng-values and hyperfine splitting constantsA in the EPR-spectra

The EPR-spectra of the² S _1/2-state of Pb³⁺-ions in different host lattices are characterized by a pronounced hyperfine splitting constantA, a smallg-shift from the free spin valueg _e and an appreciable amount of superhyperfine interaction. The unpaired 6s-electron of the Pb³⁺-ion is predominantly found in molecular orbitals built from the central 6s-function and orbitals of the sorrounding ligand ions. This assumption leads to correct estimates of theg-shift (Watanabe theory) and the reduction ofA due to covalent bonding effects. Theg- andA-values are shown to be correlated.     

Level crossing investigations in the 4d 2 D 5/2,3/2-states of the A1 I-spectrum

The level crossing technique with combined electric and magnetic fields was used to investigate the hyperfine structure, the Stark effect, and the mean life time of the 4d ² D _5/2,3/2-states in the Al I-spectrum. The experimental values are discussed in connection with interconfiguration mixing.     

Non-axiality effects in quadrupole hyperfine splitting in muonic 238U

The quadrupole hyperfine splitting in muonic atoms with nuclei having non-axial symmetry is calculated within the rigid asymmetric rotor model. The X-rays emitted in 4F-3D and 3D-2D transitions of muonic ²³⁸U were measured with high resolution and an analysis of the spectrum was performed to find the quadrupole deformation parameters β and γ.