Few-body bound states in dipolar gases and their detection

We consider dipolar interactions between heteronuclear molecules in a low-dimensional setup consisting of two one-dimensional tubes. We demonstrate that attraction between molecules in different tubes can overcome intratube repulsion and complexes with several molecules in the same tube are stable. In situ detection schemes of the few-body complexes are proposed. We discuss extensions to many tubes and layers, and outline the implications on many-body physics.     

Thermal Decomposition of Hydrated Lanthanide Picrates by TG/DTG and DSC Analyses

Hydrated lanthanide picrates with a composition of: Ln(pic)₃⋅xH₂O (Ln=La–Lu, Y) were synthesized and characterized. Thermal decomposition of the picrates by TG/DTG and DSC techniques are reported. This revised version was published online in July 2006 with corrections to the Cover Date.     

Atom interferometry in a static electric field: Measurement of the Aharonov-Casher phase

Consecutive, phase-coherent, near-resonant optical excitations of atoms have been used to realize an atom interferometer with a beam of thermal calcium atoms. We have measured the topological phase shift due to the interaction of a static electric field with the magnetic dipole moment of a moving atom (Aharonov-Casher effect). The observed phase shift was proportional to the electric field and, within our experimental uncertainty, independent of the particle's velocity. The measured value of the phase shift has been found to agree with the predicted one within a relative uncertainty of 2.2%.Dedicated to H. Walther on the occasion of his 60th birthday     

Rapid determination of tungsten in rocks using183mW

A rapid method has been developed for the determination of tungsten, especially in rocks. The reaction¹⁸²W(n, γ)^183mW (T=5.3 sec), with a thermal neutron capture cross-section of 0.5 b was used. The samples were irradiated in the fast pneumatic system of the FRM, which is described briefly. The low-energy γ-rays of the isomer^183mW were measured by a high-resolving Ge(Li) detector. The sensitivity of the method is 0.1 mg tungsten with an accuracy of about 5%; the minimum concentration is 0.1–0.2% W in geological samples. The analysis time is 2 min per sample.     

X-ray structural parameters and the thermal stability of 1,2-dioxetanes

The structural parameters and thermal activation data for 1,2-dioxetanes are reported, showing that the degree of puckering of the peroxide ring does not influence the thermal stability of these “high energy” molecules.     

Wavefronts for a cooperative tridiagonal system of differential equations

Consider the infinite system of nonlinear differential equations \(\dot u\) _n =f(_n?1, u_n, u_n+1),nε?, wherefεC ¹,D ₁ f > 0,D ₃ f>0, andf(0, 0, 0) = 0 =f(1, 1, 1). Existence of wavefronts—i.e., solutions of the formu _n (t) = U(n + ct), wherecε?,U(? ∞) = 0,U(+∞) = 1, andU is strictly increasing—is shown for functionsf which satisfy the condition: there existsa, 0<a<1, such thatf(x, x,x)<0 for 0<x<a andf(x, x, x) > 0 fora < x < 1.     

Dimers, Effective Interactions, and Pauli Blocking Effects in a Bilayer of Cold Fermionic Polar Molecules

We consider a bilayer setup with two parallel planes of cold fermionic polar molecules when the dipole moments are oriented perpendicular to the planes. The binding energy of two-body states with one polar molecule in each layer is determined and compared to various analytic approximation schemes in both coordinate- and momentum-space. The effective interaction of two bound dimers is obtained by integrating out the internal dimer bound state wave function and its robustness under analytical approximations is studied. Furthermore, we consider the effect of the background of other fermions on the dimer state through Pauli blocking, and discuss implications for the zero-temperature many-body phase diagram of this experimentally realizable system.     

Synthesis,characterization, and structure of lanthanide picrate complexes with tetramethylenesulfoxide (TMSO)

A series of complexes with composition M(pic)₃(TMSO)₃ (M=La, Nd, Sm, Eu, Gd, Er, Yb, and Y) were synthesized and characterized. The electronic absorption spectrum of the Nd complex and the emission spectrum of the Eu complex were recorded and assigned. The unique compound, Sm(pic)₃(TMSO)_2.5(EtOH)_0.5, obtained by recrystallizatiori of Sm(pic)₃(TMSO)₃ from ethanol, was characterized by single-crystal X-ray analysis. The complex crystallizes in a monoclinic cell space groupP2₁/n witha=21.809(4)Å,b=15.811(3)Å,c=12.800(3)Å and =99.87(4)°. The coordination polyhedron about the Sm center is a tricapped trigonal prism involving the three picrates, which act as bidentate ligands via the phenoxo oxygen and an oxygen of an adjacent nitro group, as well as the oxygens of two TMSO ligands. The ninth position is statistically (50%) occupied by an oxygen atom of a third TMSO ligand and an oxygen atom of an ethanol molecule.     

Occurrence conditions for two-dimensional Borromean systems

Features of biphoton polarization-frequency ququarts are considered. Their wave functions are defined as functions of both polarization and frequency variables of photons with the symmetry obligatory for two-boson states taken into account. In experiments, biphoton ququarts can display different features in dependence on whether experiments involve purely polarization or (alternatively) polarization-frequency measurements. If in experiments one uses only polarization measurements, the originally pure states of ququarts can be seen as mixed biphoton polarization states. Features of such states are described and discussed in details. Schemes of coincidence measurements for reconstruction of the ququart’s parameters are suggested and described.