Optical-Optical Double Resonance Spectroscopy of the 1g(P1)-AΠ (1u)-XΣg Transition of I2

Optical-optical double resonance spectroscopy was used to study the 1_g(³P₁) ion-pair state of I₂ correlating to I⁻(¹S)+I⁺³P₁) at the dissociation limit. We gained access to the 1_g(³P₁) state though the A³Π (1_u) state in the (1+1) photon-excitation scheme. The pump laser excited the A³Π (1_u)-X¹Σ_g⁺ transition at a fixed frequency for state selection. The probe laser was scanned to detect the 1_g(³P₁)-A³Π (1_u) resonance by monitoring the ultraviolet emission from the 1_g(³P₁) state at 278 nm. The 1_g(³P₁) state was observed in a vibrational progression consisting of P and R doublets. An energy level analysis was carried out for the 1_g(³P₁) state in the 0≤ v ≤ 14 and 12≤J≤135 range, which led to a set of molecular parameters including the Ω-doubling constant. The Ω-doubling of the 1_g(³P₁) state was discussed by the pure precession model and interpreted to occur through the heterogeneous coupling with the 0_g⁻(³P₁) state correlating to the same ionic asymptote.     

Measurements of theg J -factors of12C in the3 P 1 and3 P 2 states

Using the atomic beam magnetic resonance method the Zeeman interactions of¹²C in the³ P ₁ and³ P ₂ states at magnetic fields of about 3.4 kOe have been measured. The measured quantities areg _J (³ P ₁)?g_J(³ P ₂)=15.4(1.0)·10^?6 g _J (³ P ₂)=1.5010616 (50), from which the following value for g_J(³P₁) can be calculated:g _J (³ P ₁)=1.5010770 (50). The experimental results are in moderate agreement with theoretical calculations.     

A note on the induced pseudo-scalar coupling constant in μ− + 12C(g.s)→ 12B(1+,g.s+ ν μ

The sum of the induce pseudo-scalar g_P and the second-class induced tensor g_T couplings in muon capture is found to be (g_P + g_T)g_A= (13.3 + 1.8) by comparing with recent data on the recoil polarization of ¹²B(1⁺) in the μ^? + ¹²C→¹²B+ ν_μ process, even aaking into account the corrections due to the gamma decay of the excited states of ¹²B to ¹²B(1⁺;g.s.). With the canonical value for g_P and in the absence of meson exchange effects, our results indicate a large positive value for g_T which is in strong contradiction with the conclusion of the Louvain-Saclay—ETH experiment.     

Analysis of the hadronic light-by-light contributions to the muon g − 2

We calculate the hadronic light-by-light contributions to the muon g − 2. We use both 1/N_c and chiral counting to organize the calculation. Then we calculate the leading and next-to-leading order in the 1/N_c expansion low energy contributions using the Extended Nambu-Jona-Lasinio model as hadronic model. We do that to all orders in the external momenta and quark masses expansion. Although the hadronic light-by-light contributions to muon g − 2 are not saturated by these low energy contributions we estimate them conservatively. A detailed analysis of the different hadronic light-by-light contributions to muon g − 2 is done. The dominant contribution is the twice anomalous pseudoscalar exchange diagram. The final result we get is a_μ^{light-by-light} = (−9.2 ± 3.2) × 10⁻¹. This is between two and three times the expected experimental uncertainty at the forthcoming BNL muon g − 2 experiment.     

Bestimmung derg J-Faktoren in den Zuständen 62 P 3/2 und 82 P 3/2 von133Cs

The hyperfine structures of the 6² P _3/2- and 8² P _3/2-states of¹³³Cs have been investigated by optical double resonance in a strong magnetic field. The Landé-g-factors and the hfs coupling constants were found to be:g _J(6² P _3/2)=1.3340(3)g _J(8² P _3/2)=1.3342(2)a(6² P _3/2)=50.02(25) MHza(8² P _3/2)=7.644(25) MHz. Contrarily to recent measurements, theg _J-factors agree well with the value calculated from the Landé formula.     

On some three-meson vertex sum rules in quantum chromodynamics

We discuss some applications of the Laplace transform sum rules to the three-point function of currents and current divergences. Evaluating the QCD part of the vertex function in the symmetrical subtraction configuration, where all external masses are equal and much larger thanΛ _QCD, we obtain relations between the meson couplingsg _ωρπ,g _δKK ,g _ρππ and quark masses and vacuum condensates.     

Shubnikov-de haas effect in n-CdSnAs2

Shubnikov-de Haas oscillations in the transverse magnetoresistance of single-crystalline n-type CdSnAs₂ have been recorded at temperatures between 2 and 25 K in magnetic fields up to 5T. The electron concentration of the samples ranged from 2 × 10¹⁷ to 2 × 10¹⁸ cm^?3. The angular dependences of the oscillation periods and cyclotron effective masses showed that the conduction band exhibits an energy dependent anisotropy, obeying the Kildal band structure model. For the low-temperature values of the band parameters we found: a band gap E_g = 0.30 eV, a spin-orbit splitting Δ = 0.50 eV, a crystal field splitting parameter δ = ?0.09 eV, and an interband matrix element P = 8.5 × 10^?8eV cm. This simple four-level model was found to be not adequate to describe quantitatively the observed electronic effective g-factor for a sample with low electron concentration.     

Level-Crossing-Untersuching der Stark-Aufspaltung der tiefsten1 P 1-Terme von Ca,Sr und Ba

Using the level-crossing technique, magnitude and sign of the tensor polarizability α_ten of the lowest¹ P ₁-levels of Ca, Sr, and Ba have been measured by investigating the splitting into Zeeman-sublevels in superimposed homogeneous electric and magnetic fields. The experimental results are: α_ten/g _J =?13.6(3) kHz/(kV/cm)² for Ca α_ten/g _J =?14.32(15) kHz/(kV/cm)² for Sr α_ten/g _J =?10.72(10) kHz/(kV/cm)² for Ba, where theg _J -values are approximatelyg _J≈1. With greater accuracy the ratios of these constants have been determined by eliminating the electric-field strength measurement: (α_ten(Sr)/g _J (Sr))/(α_ten(Ca)/g _J (Ca))=1.050(8) (α_ten(Sr)/g _J (Sr))/(α_ten(Ba)/g _J (Ba))=1.336(2). The polarizability constants are discussed with regard to the state vectors of the lowestsp ¹ P ₁- and³ P ₁-levels. The tensor polarizability of the 6s 6p¹ P ₁-level of Ba I is considered in relation to oscillator strengths of electric dipole transitions to neighbouring levels.     

Optical pumping of the metastable 53P0 level of ODD isotopes of cadmium

Metastable 5³P₀ atoms of ¹¹¹Cd and ¹¹³Cd are optically pumped in an atomic beam. Their magnetic resonances are observed with Landé factors g(³P₀, ¹¹¹ Cd) = (1.090±0.003) × 10^-3 and g(³P₀, ¹¹³Cd) = (1.143 ± 0.003) × 10^-3 which are 1.7 times larger than the g-factors of the 5¹S₀ ground state. This large difference arises from a slight mixing of the 5³P₀ level with the 5³P₁ and 5¹P₁ levels through the hyperfine interaction.     

Spectral decomposition of an elementary 3-fermion 2-body operator

The eigenvalues and eigenfunctions of an elementary 3-fermion 2-body operator 3P²_g∧I¹A³∑_{1≤i≤j≤3}P²_g(i, j)A³ acting on a 3-particle antisymmetric finite-dimensional Hilbert space have been found. Here P_g² denotes the projection operator onto a 2-particle antisymmetric function g², while A³ denotes the 3-particle antisymmetrizing operator.     

Precision measurement of theg J factors of metastable atomic states of88Sr and138Ba using the atomic beam magnetic resonance method

Theg _J factors of the metastable states³ P ₂ of⁸⁸Sr and³ D ₁,³ D ₂,³ D ₃, and¹ D ₂ of¹³⁸Ba have been measured using the atomic-beam magnetic resonance method. The metastable states were populated by an electric discharge within the atomic-beam source. From the measurements of rf transitions between the Zeeman levels (m _J =+1)?(m _J =?1) we obtained:⁸⁸Sr:g _J (³ P ₂) =1.501124(10)¹³⁸Ba:g _J (³ D ₃)=1.3340823 (10)g _J (³ D′₂)=1.1637406(11)g _J (³ D ₁)=0.4985751(13)g _J (¹ D′₂)=1.003 1449(10). The relativistic and diamagnetic corrections for theg _J factor of the³ P ₂ state of Sr have been calculated. With these and the Schwinger correction included we getg _J (³ P ₂)=1.501119(12).     

Absolute Position of the D′2g(P2) Ion-Pair State of I2 Determined by Perturbation-Facilitated Optical-Optical Double Resonance

We have reexamined the sequential two-photon absorption of I₂ from the X¹Σ_g⁺ ground state to the lowest D′2_g(³P₂) ion-pair state using the high vibrational level of the B³Π(0_u⁺) state as an intermediate. The double resonance transition to the D′2_g(³P₂) state was found to occur through the B³Π(0_u⁺)-b′2_u coupled state by hyperfine interaction, which permits to mix the different J levels of different electronic states. We elucidated the B³Π(0_u⁺)-b′2_u coupling schemes in the intermediate states. The double resonance spectra recorded for the D′2_g(³P₂) state in the range v=0-30 were used to determine the absolute energy of the D′2_g(³P₂) state. The molecular parameters of the D′2_g(³P₂) state obtained in this study are Y₀₀=40 388.783(2), Y₁₀=103.956 46(57), Y₂₀=−0.207 717(51), Y₃₀=2.199(13)×10⁻⁴, Y₀₁=0.020 528 18(62), and Y₁₁=−5.1753(48)×10⁻⁵ (all in cm⁻¹ and σ in parentheses). An RKR potential curve constructed using these constants is reported. Combined with the data on the D′2_g(³P₂)-A′³Π(2_u) transition from Zheng et al. (J. Chem. Phys.96, 4877 (1992)), we can locate the A′³Π(2_u) v=0 state at 10 096.444(6) cm⁻¹ above the ground state.     

Standard leptons and the next lepton in the byuon theory

A physical picture of the origin of lepton mass is presented on the basis of the byuon theory (BT). The BT is the theory of the life of special unobservable discrete objects: byuons, from which the world surrounding us are formed (physical space; fundamental constants h, e, c; the mass of elementary particles; the four fundamental interactions; the predicted new force in nature, and so on). A key difference between this theory and current models of the classical and quantum field theories is that the potentials of physical fields acquire precise fixable, measurable values. The definition of byuon contains a new fundamental vector constant: the cosmological vector potential (A_g ≈ 1.95 × 10¹¹ G cm). The BT contains only three constants: \(\tilde x_0 \) ≈ 2.78 × 10^–33 cm, τ₀ ≈ 0.927 × 10^–43 s, and a modulus of A_g that allows us to obtain the masses of all known leptons and predict the mass of the next lepton (80.4 GeV).     

A D-band (130 GHz) EPR study of the primary electron donor triplet state in photosynthetic reaction centers ofRhodobacter sphaeroides R26

A high-field (D-band, 130 GHz) electron spin echo-detected spectrum of the primary electron donor triplet state,³P, in quinone-depleted photosynthetic reaction centers from the bacteriumRhodobacter sphaeroides R26 is obtained. It shows a significantg-anisotropy, which is larger than that of the primary donor oxidized state, P^+?. Simulation gives the tripletg-tensor principal values of 2.0037, 2.0028, and 2.0022 (precision ±0.0001), assuming that theg-tensor is coaxial to a zerofield splitting tensor. The³P spectral lineshape reveals an orientational anisotropy of the triplet quantum yield. We explain this anisotropy as arising from the difference in the main values and relative orientations between theg-tensors of P^+? and I _A ^?? in the primary radical pair (the triplet state’s precursor).     

Relaxation time of an adsorbing 4He film

The readsorption of ⁴He atoms on a constantan heater surface was studied after flash desorption by the heat pulse technique. The replenishment of the desorbed film after the heat pulse was found to be essentially linear with the time between the pulses, reaching saturation at some critical value, t_rc, which strongly depended on the pressure in the vapor, P_g. With the help of kinetic theory for the flux of atoms striking a surface, the measured value of t_rc could be calibrated to give P_g. We have verified this formula directly and used it to measure pressures down to 10^?9 Torr.     

Discharged generator of singlet oxygen for oxygen-iodine laser. Transport kinetics of O2(a 1δg) and O2(b 1σ g + ) molecules and O(3 P) atoms in Ar:O2 and He:O2 flows excited by a 13.56-MHz discharge

To understand and reveal the basic physical factors providing the possibility of scaling of a discharged singlet oxygen generator (DSOG) in an oxygen-iodine laser, the production, and transport kinetics of metastable O₂(a ¹δ_g) and O₂(b ¹σ _g ⁺ ) molecules, as well as O(³ P) atoms, were investigated in Ar:O₂ and He:O₂ gas flows excited by a 13.56-MHz discharge in a wide range of pressures (4–40 Torr) and oxygen percentages. It is shown that the densities and transport kinetics of O₂(a ¹δ_g), O₂(b ¹σ _g ⁺ ), and O(³ P) appear similar for oxygen mixtures with argon and helium in the same conditions independent of discharge mode. Compared to pure O₂, the dilution of oxygen with an inert gas allows higher energy inputs per an oxygen molecule to achieved, especially under conditions of the homogeneous discharge mode (α-mode), which gives a higher efficiency of O₂(a ¹δ_g) excitation in Ar:O₂ and He:O₂ mixtures. But the maximum attainable yield of singlet oxygen in Ar:O₂ and He:O₂ at fixed partial O₂ pressure is found to be comparable with the O₂(a ¹δ_g) yield in pure oxygen at the same pressure. The reason for this is the increased three-body deactivation of O₂(a ¹δ_g) by atomic oxygen in the mixtures because of the greater total pressure. The estimation of the rate constant of O₂(a ¹δ_g) three-body quenching by O(³ P) in Ar:O₂ and He:O₂ mixtures as (1.5 ± 0.5) × 10^?32 cm⁶/s was carried out from the analysis of transport kinetics of singlet and atomic oxygen in the discharge afterglow at high pressures exceeding ～10 Torr. A similar analysis for the lower pressures has revealed that losses both of metastable O₂(a ¹δ_g) and O₂(b ¹σ _g ⁺ ) molecules, and of O(³ P) atoms on the surface of the discharge tube, are determined by the density of each of the components. The obtained loss probabilities of O₂(a ¹δ_g), O₂(b ¹σ _g ⁺ ), and O(³ P) on the silica surface show that the surface loss probabilities of all the species can increase noticeably under the discharge exposure. Thus, the key parameters determining the maximal O₂(a ¹δ_g) yield in the DSOG are a homogeneous volumetric mode of the discharge, energy input per oxygen molecule in this mode, and a low rate of O₂(a ¹δ_g) quenching. Just three-body quenching of O₂(a ¹δ_g) by O(³ P) limits the singlet oxygen yield with increasing pressure. The fast removal of atomic oxygen both in discharge and in the earlier afterglow could provide DSOG scaling with pressure.     

Untersuchung der Hyperfeinstruktur des 62 P 1/2-Zustandes von133Cs im starken Magnetfeld mit der optischen Doppelresonanzmethode

The hyperfine structure of the 6² P _1/2-state of¹³³Cs has been measured by optical double resonance in a strong magnetic field. From the positions of the magnetic dipole transitionsδm _J =±1,δm _I =0 theg _J -factorg _J(6² P _1/2)=0.66590(9) and the magnetic hfs-coupling constanta(6² P _1/2)=291.90(12) MHz could be derived.     

g J -Faktoren der tiefsten3 P 1-Zustände von Strontium und Barium

Theg _J -values of the lowest³ P ₁-states of Sr and Ba have been determined with optical double resonance. The measurement has been carried out by observation of radiofrequency transitionsΔm _j =± 1 between Zeeman levels of the even isotopes. Calibration of the magnetic field has been done by optical pumping of the 3²S_1/2 ground state of the sodium atom. The results are:g _j ^exp (5s 5p ³ P ₁, Sr)=1.50065(4)g _j ^exp (6s 6p ³ P ₁, Ba)=1.49651(7).     

Strong-coupling expansions for the off-axis glueball masses

Strong-coupling expansions, up to order g^?4, for the off-axis glueball masses are developed in four-dimensional spacetime for lattice gauge theories with gauge groups SU(2), SU(3), Z₂, Z₃. Glueball mass spectra for the states 0⁺⁺, 2⁺⁺, 1^+? are obtained. Restoration of Lorentz invariance is discussed.