Zeeman- and Paschen-Back-effect of the hyperfine structure of the sodiumD 2-line

Using high resolution laser-atomic-beam spectroscopy, Zeeman- and Paschen-Back-effects of the hyperfine structure of the sodium resonance lines were studied in magnetic fields up to 280 Gauss without perturbation by cross-over resonances. The observed behaviour of the components of theD ₂-line is compared with results of theoretical calculations for the splitting and the relative intensity of each Zeeman-component of the line. Full agreement between theory and experiment can be stated. Additionally, the relative intensities of the components of theD ₁-line are given.     

Hyperfine structures and level isotope shifts of then 2 S 1/2 (n=7 – 12)- andn 2 D 3/2,5/2 (n=6 – 10)-levels of203,205Tl measured by atomic beam spectroscopy

Applying atomic beam laser spectroscopy, hyperfine constants as well as level isotope shifts of the (6s ² ns)² S _1/2 levels (n = 7 – 12) and (6s ² nd)² D _3/2,5/2 levels (n = 6 – 10) have been measured in²⁰³Tl and²⁰⁵Tl. Furthermore, some new hyperfine constants and level isotope shifts of the Tl² P _1/2,3/2-states are presented together with corrected results of earlier experiments. The hyperfine splittings have been compared with the predictions of the semiempirical theory. For theD-states a relatively poor agreement between these theoretical predictions and experimental results has been found. Using the experimental level isotope shifts and the δ〈r ²〉 value from muonic X-ray data, results of single-configuration Dirac-Fock calculations have been tested.     

Hyperfine structure investigations in excitedD-states of171Yb and173Yb

The hyperfine structure splittings in the excited 4f ¹⁴6s6d states of¹⁷¹Yb and¹⁷³Yb have been measured. Isotope selection was achieved by stepwise laser excitation of the¹ D ₂ and³ D _{2, 1} states. The³ D ₃ state of¹⁷¹Yb was excited via collisional excitation of an intermediate level. The magnetic and electric hfs coupling constants are given and compared to ab initio values calculated from relativistic self-consistent-field wavefunctions.     

The 3d states of23Na and7Li: determination of unresolved hyperfine splittings and radiative lifetimes

The electronic transitions from the ground state to the 3d states have been studied for²³Na and⁷Li atoms by two-photon Doppler-free laser spectroscopy. The positions of the resonances are used to determine the unresolved hyperfine structure of the 3d states from which the magnetic-dipole hyperfine interaction constantsA are derived. The results for theA factors are:A(3d ² D _3/2;²³Na)=+527(25) kHz;A(3d ² D _5/2;²³Na)=+108.5(2.4) kHz;A(3d ² D _3/2;⁷Li)=+843(41) kHz;A(3d ² D _5/2;⁷Li)=+343.6(1.0) kHz. For the fine structure intervals fs of the 3d doublets we obtain: fs(3d Na)=-1 494 444(44) kHz and fs(3d Li)=+1 083 936(60) kHz. The linewidths of the resonances are evaluated with respect to the natural lifetimes of the 3d states. For Na the result is τ(3d Na)=19.27(23) ns.     

An improved laser vaporization cluster source and time-of-flight mass spectrometer

The radiative lifetimes of the 7p ² P _{3/2, 1/2} states of silver and the hyperfine structure of the 7p ² P _3/2 state have been measured using pulsed laser excitation and direct observation of the induced fluorescence light decay. In order to excite this doublet, VUV radiation at 185 nm was applied, as generated by frequency tripling and anti-Stokes Raman shifting of the output of a Nd: YAG laser pumped dye laser. The lifetimes were found to be τ=255(20) ns and τ=285(25) ns for theJ=3/2 state andJ=1/2 state, respectively. The hyperfine structure of the 7p ² P _3/2 state was measured by the quantum beat method. The magnetic dipole interaction constant for the¹⁰⁷Ag isotope was found to bea=?4.5(2) MHZ.     

Investigations of the sodium and lithium D-lines in strong magnetic fields

Experimental and theoretical investigations of the splitting of the hyperfine structure of the sodium and lithium-D-lines in magnetic fields between 0 and 1 T were performed. In this magnetic field region the fine structure levelsJ=1/2 andJ=3/2 of the excited term² P begin to influence each other. In case of lithium crossings and anticrossings of hyperfine states stemming from different fine structure energy levelsJ=1/2 andJ=3/2 can be observed. The measurements were performed by laseratomic-beam spectroscopy in dependence on the applied external magnetic field strength. The experimental spectra were compared with computed spectra. Spectra were simulated by calculations using for the hyperfine hamiltonian two hyperfine constantsA andB in case of sodium and four hyperfine constantsa _c ,a _d ,a ₀ andb in case of lithium. Values for this constants could be derived by fitting the theoretical splittings to the experimental ones. For the first time theg _I — factor of sodium could be determined in a purely optical way.     

Accurate time-resolved laser spectroscopy on lithium atoms

The lifetime of the lithium 2p ² P states has been measured with high accuracy using the delayed coincidence technique with a continuous mode-locked dye laser as the source of the excitation light. The value 27.22 (0.20) ns was obtained. In addition, the hyperfine structure of the⁷Li 2p ² P _3/2 state, which can normally scarcely be resolved, has been studied by recording the slow quantum beats at zero field and the very fast beats in the Paschen-Back regime. New accurate values for the²³Na 3p ² P _3/2 state hyperfine structure constants are also presented.     

Hyperfine structure of the resonance lines of53Cr and lifetimes of some excited states of the Cr I spectrum

The hyperfine structure of the⁵³Cr resonance linesa ⁷ S ₃ ?z ⁷ P _2,3,4 has been investigated by means of laser saturation spectroscopy. By comparison of the experimental signal curves with theoretically computed spectra the hitherto unknown sign of the magnetic hyperfine coupling constant in thea ⁷ S ₃ ground state of⁵³Cr could be determined unambigiously to be negative. Further the signs of the hfs coupling constants in thez ⁷ P states — so far only evaluated by theoretical reasoning — could be confirmed. Additionally the lifetimes of the statesz ⁷ P,z ⁵ P,f ⁷ D,z ⁵ F,e ⁷ D ₅ andy ⁵ P ₃ in the Cr I spectrum have been determined from the fluorescence decay after pulsed laser excitation.     

Tensor polarizabilities of the (nd+(n+1)s)3 2 D 3/2,5/2 levels in Sc I,Y I,La I and Lu I

A technique based on the detection of nonlinear level-crossing resonances in parallel electric and magnetic fields has been extended to the study of the Stark splittings in the hyperfine levels of the ground multiplets (nd+(n+1)s)^{3 2} D _3/2,5/2 in Sc I, Y I, La I, and Lu I. Values of the tensor polarizabilities of thend electrons were evaluated from the experimental results. The variation of the tensor polarizabilities of thend electrons in the configurations under study is discussed. Trends of the polarizabilities in different configurations are compared. The ratio between the electric quadrupole constant and the tensor polarizabilities is constant in La and different in Lu, which is caused by a breakdown of the central field model.     

Magnetic field-induced ΔF=±2,3,4 transitions in the Eu I-spectrum

The occurrence of ΔF=±2, ±3, and ±4 transitions in the hyperfine structure of the Eu I lineλ 629.1 nm (4f ⁷6s ² a ⁸ S _7/2?4f ⁷6s6p z ⁸ P _5/2) was investigated with the application of high-resolution laser-atomic-beam spectroscopy. It was possible to show that the appearance of such transitions depends on the magnitude of an external magnetic field. Calculations of the hyperfine Zeeman splittings of the excited and the ground state were performed. This allowed the identification of the forbidden transitions.     

ΔF = 2–6 transitions in the hyperfine spectrum of λ = 601.8 nm line of 151Eu

The magnetic field effect of the a ⁸ S _1/2-z ⁸ P _9/2, F = 7 transition lines of ¹⁵¹Eu in magnetic fields up to 400 Gauss has been studied by using laser-atomic-beam-spectroscopy. δF = 2–6 transitions were observed. Results show that the transitions originate from the mixing of the Zeeman states induced by the magnetic field. The condition favourable to observation of the |δF| ≥ 2 transitions especially the transitions with high |δF| values discussed     

On the hyperfine structure and isotope shift of radium

The hyperfine structure and isotope shift of the heaviest known alkaline earth element radium (Z=88) have been studied in both the atomic Ra I and ionic Ra II spectra. The measurements, carried out by on-line collinear fast-beam laser spectroscopy, yield the hyperfine constantsA andB of the 7s and 7p _1/2 states in Ra II, of all states of the excited 7s 7p configuration and the 7s 7d ³ D ₃ state in Ra I. The data allow a consistent evaluation of the nuclear moments for eight odd-A radium isotopes. In particular, a complete analysis of the hyperfine structure of thesp configuration in the two-electron system provides a stringent test of the validity of the semi-empirical modified Breit-Wills theory. It is shown that the effective operator formalism is equivalent, if relativistic correction functions are used to reduce the number of parameters. The semi-empirical hyperfine fields are evaluated and found to agree generally with those from ab-initio calculations. The isotope shifts in thes?p,s ²?sp,sp?sd transitions are analysed semi-empirically and compared with ab-initio calculations. The consistency of the different analyses proves their validity and classifies the spectrum of Ra I as a model case for a simple and clean two-electron spectrum.     

Doppler free “dark resonances” for hyperfine measurements and isotope shifts in Ca+ isotopes in a Paul trap

We have observed dark resonances in theA-type level structure, formed by the 4S_1/2 ground state, the 4P_1/2 excited state and the low lying metastable 3D_3/2 state in the Calcium ion, confined in a Paul radio-frequency trap. These Doppler-free and potentially very narrow resonances were used to determine the magnetic dipole hyperfine interaction constant A for the 4P_1/2 and 3D_3/2 state of⁴³Ca⁺, giving –142(8) MHz and –48.3(1.6) MHz, respectively. From measurements of the P-D (E1) and S-D (E2) transition wavelength in a mixture of⁴³Ca⁺ and⁴⁰Ca⁺ we determined the isotope shifts of these lines.     

Hyperfine structure in 5s 4d 3 D —5snf transitions of87Sr

The hyperfine spectra of the 5s4d ³ D ₁-5s20f, 5s4d ³ D ₂-5s23f, and 5s 4d ³ D ₃-5s32f transitions of⁸⁷Sr (I=9/2) have been measured by collinear fast beam laser spectroscopy. The structure in the upper configurations is highly perturbed by fine structure splitting that is of comparable size to the hyperfine interaction energy. These perturbations can be adequately treated with conventional matrix diagonalization methods, using the 5s-electron magnetic dipole interaction terma _5s and the unperturbed fine structure splittings as input parameters. Additionally, hyperfine constants for the lower 5s4d ³ D configurations, including theA- andB-factors and a separation of the individuals- andd-electron contributions to these factors, are derived.     

The effect of hyperfine structure on the collisional relaxation of the thallium atom excited by laser beam

We present a theoretical analysis of the transient population inversions which appear in the optically pumped thallium (6² P _1/2, 6² P _3/2, 7² S _1/2) atom. We account for the hyperfine structure and we assume that the pumping occurs in the presence of buffer gas. Numerically computed time dependencies of population differences between the Zeeman sublevels of hyperfine levels of the 7² S _1/2 and 6² P _{1/2, 3/2} states are given. It is demonstrated how the described effects depend on the strength of the atom-field coupling and buffer gas pressure. The role of resonant and nonresonant pumping is explained.     

ΔF = ±2 transitions in the hyperfine spectrum of Er I

The occurrence of 15ΔF=±2 transitions in the hyperfine spectrum of five lines of Er I was observed by means of high-resolution laser-atomic-beam spectroscopy. These normally forbidden transitions are caused by an external magnetic field which mixes closely lying hyperfine levels that have neighbouringF quantum numbers. If the Zeeman splittings under the applied magnetic field are small compared to the hyperfine splittings, the intensities of theΔF=±2 components are proportional to the square of the magnetic field strength. Under the variation of the laser intensity theΔF=±2 transitions show the same behaviour as homogeneously broadenedΔF=0, ±1 transitions. The relative intensities between theΔF=±2 components as well as the intensity ratios of theΔF=±2 to neighbouringΔF=±1 components are studied and interpreted in terms of first order perturbation theory.     

Quadrupole moments of radium isotopes from the 7p 2 P 3/2 hyperfine structure in Ra II

The hyperfine structure and isotope shift of^221–226Ra and^212,214Ra have been measured in the ionic (Ra II) transition 7s ² S _1/2–7p ² P _3/2 (λ=381.4 nm). The method of on-line collinear fast-beam laser spectroscopy has been applied using frequency-doubling of cw dye laser radiation in an external ring cavity. The magnetic hyperfine fields are compared with semi-empirical and ab initio calculations. The analysis of the quadrupole splitting by the same method yields the following, improved values of spectroscopic quadrupole moments:Q _s (²²¹Ra)=1.978(7)b,Q _s (²²³Ra)=1.254(3)b and the reanalyzed valuesQ _s (²⁰⁹Ra)=0.40(2)b,Q _s (²¹¹Ra)=0.48(2)b,Q _s (²²⁷Ra)=1.58(3)b,Q _s (²²⁹Ra)=3.09(4)b with an additional scaling uncertainty of ±5%. Furthermore, theJ-dependence of the isotope shift is analyzed in both Ra II transitions connecting the 7s ² S _1/2 ground state with the first excited doublet 7p ² P _1/2 and 7p ² P _3/2.     

Triple differential generalized oscillator strength of direct and resonance He(e, 2e)He+ reaction at high incident energies

The triple differential cross section and triple differential generalized oscillator strength of the direct and resonance He(e, 2e)He⁺ reaction in the first Born approximation for incident energiesE ₀≥4keV are calculated. For the direct (e, 2e) process our results obtained in definite structure models of the atom are found to be in good agreement with the available experimental data and theoretical estimates. The resonance profiles calculated in these models exhibit a complicated structure formation of overlapping¹ P and¹ D autoionization states (AIS) excited in the (e, 2e) reaction. The specific kine-matical conditions, when the overlap and interference of the¹ P and¹ D resonances are small and the¹ P and¹ D AIS yields can be measured separately, are discussed. It is also shown that in a certain range of ejection angles and at large momentum transfers (Q>2au) the yield of the¹ D AIS dominates over the¹ P resonance yield.