Doppelkonversion

An excited nuclear state can decay by three different modes of double quantum emission, namely doubleγ-emission,γ-electron emission and double conversion electron emission. The emission of twoγ-quanta has been considered in an earlier paper¹. The purpose of the present work is to treat all three processes together in a systematic manner. It is shown that the connection between the transition rates forγ-electron emissionT _γc and doubleγ-quantum emissionT _γγ is more complicated than in the case of single quantum processes. However,T _γc can still be expressed in terms of the usual conversion coefficients. This is also true for the transition rate T_cc for the emission of twoK-shell electrons, although only approximately. For the emission of electrons from different atomic shells the formulas become rather complicated, because of interference effects. The electron andγ-quantum spectra in all of the three second order processes are discussed in detail for the decay of the isomeric level in Xe¹³¹.     

Tripartite Entanglement in an Atom-Cavity-Optomechanical System

We investigate tripartite entanglement in an atom-cavity-optomechanical system consisting of a two-level atom coupled to a cavity with an oscillating mirror at one end. The maximally entangled state between the atom, the field and the oscillating mirror can be prepared in the ideal case. It is shown that the atomic coherent angle that is relatively small makes tripartite entanglement much stronger against dissipative effects in a finite time interval. The parameter k plays a very important role in the oscillating frequency of the tripartite entanglement. More importantly, the π-tangle decays more quickly with the increasing of spontaneous emission rate γ and mean photon number n.     

Electronic transport of a T-shaped double-quantum-dot system in the Coulomb blockade regime

We studied the electronic transport properties of a T-shaped double-quantum-dot system in the Coulomb blockade regime when the onsite Coulomb interaction parameters U ₁ and U ₂ have finite values in both component dots. Our analysis is done in the so-called beyond Hartree-Fock approximation that includes contributions related to both normal and mixed averages of various number-like operators in the system. We provide an analytic formula for the main’s dot Green function in the case of large onsite Coulomb interaction parameters (U ₁ = U ₂ → ∞), and find that with a good approximation, this limit is realized when the ratio U ₁/t = U ₂/t ≥ 30, t being the interdot electron tunneling between the two component dots of the structures. In the most general situation of the Coulomb blockade regime (U ₁ ≠ U ₂) the system conductivity presents two dips corresponding to the Fano-Kondo effect and the system’s shot noise and electronic current present a series of plateaus that should be visible in experimental setups.     

Isotopically invariant dunham parameters and the potential function of the HCl molecule

The isotopically invariant Dunham parameters U _mj , Δ _mj ^H and Δ _mj ^Cl were determined by simultaneously fitting the line centers of vibration-rotation transitions of six isotopic HCl forms in the ground electronic state. Fitting included relations between U _mj values. The parameters of the isotopically invariant potential of HCl were determined using independent U _m0 and U _m1 values. The contributions to the vibrational terms of H³⁵Cl caused by violation of the Born-Oppenheimer approximation were calculated.     

Suche nach Zweiquantenprozessen beim Zerfall von Xe131m

The decay of Xe^131m was investigated in order to detect nuclear double decay processes, in which the transition energy is distributed either between twoγ-quanta or between oneγ-quantum and oneK-conversion electron or between twoK-conversion electrons. By analyzing the emittedγ-radiation in a two-dimensional way an upper limit of 2.2 · 10^?5 was derived for the ratio of theγγ- toγ-transition probability. An investigation of theγ-spectrum in coincidence withK-quanta yielded an upper limit of 3 · 10^?2 for the rate ofe _Kγ-transitions relative toγ-transitions. The simultaneous emission of twoK-quanta was actually observed. These doubleK-quanta result either from the doubleK-conversion that was sought or from the internal conversion of the internal Compton-effect. For the doubleK-electron emission toγ-emission probability a value of (3.6±0.7) · 10^?3 was obtained. TheK-conversion coefficient and the half-life of Xe^131m were measured to be 32.1±0.4 and 11.94±0.04 d, respectively.     

<Emphasis Type="Italic">SU</Emphasis>(2) Non-Abelian Photon

In this paper, we have proposed S U(2) non-Abelian electromagnetism gauge theory. In the theory, photon has self-interaction and interaction between them, which can explain photon entanglement phenomenon in quantum information. Otherwise, we find there are three kinds photons γ ⁺, γ ^? and γ ⁰, they have electric charge + e _γ , ? e _γ and 0, respectively, these prediction are accordance with some experiment results.     

Finite Hamiltonian systems: Linear transformations and aberrations

Finite Hamiltonian systems contain operators of position, momentum, and energy, having a finite number N of equally-spaced eigenvalues. Such systems are under the æis of the algebra su(2), and their phase space is a sphere. Rigid motions of this phase space form the group SU(2); overall phases complete this to U(2). But since N-point states can be subject to U(N) ?U(2) transformations, the rest of the generators will provide all N ² unitary transformations of the states, which appear as nonlinear transformations—aberrations—of the system phase space. They are built through the “finite quantization” of a classical optical system.     

Self-ionization of an atom in <Emphasis Type="Italic">β</Emphasis><Superscript>−</Superscript> decay

The dependence of the yield of near-zero-energy electrons (e ₀ electrons) from the surface of a ⁴⁶Sc source on the energy of β ^? particles is measured with the use of the method of eγ and eβ coincidences. The self-ionization of an atom in β ^? decay owing to shake-off and direct collisions is determined. It is found that the probability of shake-off is independent of the energy of a β ^? particle, whereas the probability of direct collisions is inversely proportional to its velocity. The results of the measurements are discussed in the approximation of the sudden perturbation of an atomic electron by the moving β ^? particle.     

The importance of electron correlation in graphene and hydrogenated graphene

Local density approximation (LDA) and Green function effective Coulomb (GW) calculations are performed to investigate the effect of electronic correlations on the electronic properties of both graphene and graphane. The size of band gap in graphane increases from 3.7 eV in LDA to 4.9 eV in GW approximation. By calculating maximally localized Wannier wave functions, we evaluate the necessary integrals to get the Hubbard U and the exchange J interaction from first principles for both graphene and graphane. Our ab-initio estimates indicate that in the case of graphene, in addition to the hopping amplitude t ～ 2.8 eV giving rise to the Dirac nature of low lying excitations, the Hubbard U value of ～8.7 eV gives rise to a super-exchange strength of J _AFM ～ 3.5 eV. This value dominates over the direct (ferromagnetic) exchange value of J _FM ～ 1.6 eV. This brings substantial Mott-Heisenberg aspects into the problem of graphene. Moreover, similarly large values of the Hubbard and super-exchange strength in graphane suggests that the nature of gap in graphane has substantial Mott character.     

Untersuchung des Iridium-191m-Zerfalls

Theγ-radiation of the nuclear isomer Ir^191m (T _1/2=4.5 sec) has been investigated with the aid of a scintillation fast-slow coincidence-spectrometer. Theγ-rays of the 42 keV-transition have been measured for the first time. The conversion coefficient α of this transition was found to be α = 13500 ₊₂₁₁₀₀ ^?5200 in acceptable agreement with the value taken from the tables ofRose under the assumption of anE3-transition. Thus this assignment proposed earlier by other authors has been confirmed. TheK-conversion coefficient of the 129 keV-transition has been remeasured yielding α _K =2.32±0.06.     

Localization theory in zero dimension and the structure of the diffusion poles

The 1/[-iω + D(ω, q)q ²] diffusion pole in the localized phase transfers to the 1/ω Berezinskii-Gorkov singularity, which can be analyzed by the instanton method {M. V. Sadovski?, Zh. Éksp. Teor. Fiz. 83, 1418 (1982) [Sov. Phys. JETP 56, 816 (1982)] and J. L. Cardy, J. Phys. C 11, L321 (1978)}. When this approach is used directly, contradictions arise and do not disappear even if the problem is extremely simplified by taking the zero-dimensional limit. On the contrary, they are extremely sharpened in this case and become paradoxes. The main paradox is specified by the following statements: (i) the 1/ω singularity is determined by high orders of perturbation theory, (ii) the high-order behaviors for Φ^RA and U ^RA are the same, and (iii) Φ^RA has the 1/ω singularity, whereas U ^RA does not have it. Solution to the paradox indicates that the instanton method makes it possible to obtain only the 1/(ω + 2iγ) singularity, where the parameter γ remains indefinite and must be determined from additional conditions. This conceptually confirms the necessity of the self-consistent treatment of the diffusion coefficient used in the Vollhardt-Wölfle-type theories.     

Massive hyper-Kähler sigma models and BPS domain walls

With the non-Abelian hyper-Kähler quotient by U(M) and SU(M) gauge groups, we give the massive hyper-Kähler sigma models that are not toric in the N=1 superfield formalism. The U(M) quotient gives N!/[M!(N-M)!] (N is the number of flavors) discrete vacua that may allow various types of domain walls, whereas the SU(M) quotient gives no discrete vacua. We derive a BPS domain-wall solution in the case of N = 2 and M = 1 in the U(M) quotient model.     

First principles study on magnetic properties in ZnS doped with palladium

The electronic structures and magnetic properties in zinc-blende structure ZnS doped with nonmagnetic noble metal palladium have been investigated by means of density functional theory (DFT) calculations employing the generalised gradient approximation (GGA) and the GGA plus Hubbard U (GGA + U). Both the GGA and GGA + U methods demonstrate half-metallicity in Pd-doped ZnS with total magnetic moments of about 2.0μ _B per supercell. The half-metallic ferromagnetism stems from the hybridisation between Pd-4d and S-3p states and could be attributed to a double-exchange mechanism. These results suggest a recipe for obtaining a promising dilute magnetic semiconductor by doping nonmagnetic 4d elements in ZnS matrix.     

On the role of tunneling in metal-semiconductor nanocontacts

The shape of the contact potential that arises at the interface between semiconductor and a metal nanoparticle is calculated in the approximation of complete depletion. The particle represents a sphere of radius a?S, where S is the thickness of the depletion layer in the semiconductor in the case of an infinite plane contact with the metal. A WKB approximation is applied to develop a theory of thermal-field current transfer through such a contact. It is shown that, as the radius of the metal nanoparticle decreases, the component of thermal field emission current plays an increasing role in the current transfer, while the backward current density increases and may become comparable to the density of forward current. In this case, the current-voltage characteristics (CVCs) become more symmetric.     

Kinetics of atoms in the field produced by elliptically polarized waves

The kinetics of atoms with degenerate energy levels in the field produced by elliptically polarized waves is considered in the semiclassical approximation. Analytic expressions for the force acting on an atom and for the diffusion coefficient in the momentum space are derived for the optical transition J _g =1/2→J _e = 1/2 in the slow atom approximation. These expressions are valid for an arbitrary one-dimensional configuration of the light field and for an arbitrary intensity. The peculiarities of the atomic kinetics are investigated in detail; these peculiarities are associated with ellipticity of light waves and are absent in particular configurations formed by circularly or linearly polarized waves, which were considered earlier.     

On the duration of the resonance absorption and emission of nuclear gamma rays

The Krylov-Fock theorem is applicable to describing the decay of an excited quantum-mechanical system in the case where the time of excited-state formation is much shorter than the characteristic decay time. The results obtained by calculating, on the basis of this theorem, the average lifetime t_av of an excited state for nuclei that resonantly scatter γ rays are in serious contradiction with available data on t_av including experimental data. This disproves the assumption that the resonance absorption and emission of γ rays proceeds within times much shorter than τ=?/Γ (Γ is the intrinsic width of a nuclear level). A qualitative explanation of this effect is proposed.     

The spin cut-off factor for60Co

Nine experimental isomeric cross-section ratios for the reactions⁵⁹Co(n, γ)⁶⁰Co,⁶⁰Ni(n,p)⁶⁰Co, and⁶³Cu(n,α)⁶⁰Co are analysed in terms of statistical theory by means of the method ofHuizenga andVandenbosch. Theγ-cascades are treated by a new model which was recently published. The results confirm the energy dependence of the spin cut-off factor for⁶⁰Coσ～U^1/4 which should not be neglected. As a mean value (σ=4.3±0.3 is obtained forU=B _n =7.5 MeV in good agreement with a nuclear moment of inertia for a rigid sphere.     

Die optische Absorption der U2-Zentren in Alkalihalogeniden des NaCl-Typs

The UV absorption of the U₂ center in nine alkalihalides at 20 °K is presented. In the bromides and iodides the U₂ band consists of three components. This splitting is interpreted as a combined effect of spin-orbit coupling and dynamic lattice distortion. The energy of the strongest U₂ band is calculated by using the effective charge of the H atom in the U₂ ground state as a parameter. This comes out to be ?0.17 e in chlorides, ?0.20 e in bromides, and ?0.25 e in iodides. In mixed crystals of KBr+Δ KJ U₂ centers of the general kind HBr _n J_4?n (n=0, ..., 4) are investigated. They form three classes of U₂ bands, which are distinguished by thep-orbital in the excited state. This can bep _BrBr,p _BrJ,p _JJ depending on what halide ions the defect electron is located in the excited state. Dichroic bleaching of each band with polarized light allows to orient the complexes. This demonstrates that by optical stimulation the H atom can diffuse through the interstitial lattice. By warming up to 70 °K HBr₄ changes to HBr₃J which becomes unstable above 80 °K.     

Perturbativity and nonperturbativity in large-<Emphasis Type="Italic">Z</Emphasis> effects for hydrogen-like atoms

The effects induced by the interaction ΔU_AMM of the anomalous component of the electron magnetic moment with the Coulomb field of a nucleus at Zα > 1 are examined for the lower levels of a hydrogen-like atom within purely perturbative and essentially nonperturbative in α/π approaches. Owing to the specific features of the ΔU_AMM operator for a point-like Coulomb source, the distribution of the charge over the volume of the nucleus is set in the nonperturbative case at the quark structure level using valence (constituent) u and d quarks. It is demonstrated that such nonperturbative analysis turns out to be nontrivial as well as the manner in which its results are altered in the transition from the central problem with spherical symmetry to the inclusion of the peripheral contribution. It is also demonstrated that these methods yield matching (with an accuracy no worse than 0.1%) results for the shift of levels 1s_1/2 and 2p_1/2 due to ΔU_AMM at all values of Z through to critical ones. Thus, it is confirmed that the perturbation theory in α/π provides correct results for superheavy atoms if the complete dependence of the wave function on Zα is taken into account from the beginning.     

Die Störung der Resonanzstreuung von γ-Strahlung einer Kr79-Quelle an Br79 durch gaskinetische Stöße in der Quelle

γ-quanta emitted by gaseous Kr⁷⁹-sources were scattered resonantly from Br⁷⁹-nuclei. By increasing the density in the source the effective cross section for resonance scattering was influenced due to gaskinetic collisions of the recoiling Br⁷⁹-nuclei with atoms before emission of theγ-quantum. The cross section for gaskinetic collisions was determined to beσ _st=(12.0±1.8) 10^?16 cm² in agreement with the theoretical value obtained from a hard sphere model. This technique, similar to the usual “Doppler shift technique”, yields, if combined with the measurement of the absolute cross section for resonance scattering, spin and lifetime of the levels at 398 and 606 keV. The resonance scattering from the 834 keV level shows an unexpected behaviour in complete contradiction to the hard sphere model, indicating that the velocity of the recoiling nuclei is increased in a dense source atmosphere.