Periodic structure in nuclear matter

The properties of nuclear matter are studied in the framework of quantum hadrodynamics. Assuming an ω-meson field, periodic in space, a self-consistent set of equations is derived in the mean-field approximation for the description of nucleons interacting via σ-meson and ω-meson fields. Solutions of these self-consistent equations have been found: The baryon density is constant in space, however, the baryon current density is periodic. This high density phase of nuclear matter can be produced by anisotropic external pressure, occurring, e.g., in relativistic heavy ion reactions. The self-consistent fields developing beyond the instability limit have a special screw symmetry. In the presence of such an ω field, the energy spectrum of the relativistic nucleons exhibits allowed and forbidden bands, similar to the energy spectrum of the electrons in solids

Phase transitions in quark-gluon matter

If the local color symmetry in a quark-gluon matter is broken, the expectation value of the gluon field 〈Aμa(x)〉 may be different from zero. Such a gluon-condensed phase has been found in mean field approximation. The gluon-condensed phase is characterized by a static, periodic chromomagnetic field, which is coupled to a periodic spin-color density distribution of quarks and antiquarks. Transitions of first and second order type have been found between the gluon-condensed and normal phases, the latter characterized by the vanishing value of the mean gluon field

Analog of the Peierls-type phase transition in nuclear matter

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Gluon-condensation of quark-gluon plasma in mean field approximation

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Green chemical approaches and tools in the development of environmentally friendly synthetic methods

Addressing the recommendations of the 12 basic lows of green chemistry, the microwave technique was utilized in phospha-Mannich, Diels-Alder and inverse Wittig type reactions, moreover under solventless conditions. In the phase transfer catalysed alkylation of CH-acidic compounds, the quaternary onium salts could be substituted by MW irradiation. The effect of chiral phase transfer catalysts was compared on suitable, potentially enantioselective model reactions. Mono- and bidental P-ligands were developed to make available novel platinum complexes that can be useful as catalysts. Finally, esterifications including diesterifications were studied by in situ Fourier Transform IR spectroscopy

A Novel, Domino Synthesis of Tricyclic Benzimidazole Derivatives Using Continuous Flow

A novel method for synthesis of tricyclic benzimidazole derivatives by using continuous flow reactor is reported. Disadvantages of the well-known batch methods have been avoided utilizing the flow chemistry technology. Beside the one pot reductive cyclization using H-Cube Pro®, the dehydration step was also optimized producing the desired lactam compounds. Then the acylation was optimized under microwave conditions and that reaction was also integrated into the flow system using an Asia heater module. This acylation dramatically reduced the reaction time under continuous-flow conditions, with a residence time of 30 min

A Mechanistic Study on the Formation of Dronic Acids

Dronic acid derivatives, important drugs against bone diseases, may be synthesized from the corresponding substituted acetic acid either by reaction with phosphorus trichloride in methanesulfonic acid as the solvent or by using also phosphorous acid as the P-reactant if sulfolane is applied as the medium. The energetics of the two protocols were evaluated by high-level quantum chemical calculations on the formation of fenidronic acid and benzidronic acid. The second option, involving (HO)2P-O-PCl2 as the nucleophile, was found to be more favorable over the first variation, comprising Cl2P-O-SO2Me as the real reagent, especially for the case of benzidronat

The route from problem to solution in multistep continuous flow synthesis of pharmaceutical compounds

Recent advances in the field of continuous flow chemistry allow the multistep preparation of complex molecules such as APIs (Active Pharmaceutical Ingredients) in a telescoped manner. Numerous examples of laboratory-scale applications are described, which are pointing towards novel manufacturing processes of pharmaceutical compounds, in accordance with recent regulatory, economical and quality guidances. The chemical and technical knowledge gained during these studies is considerable; nevertheless, connecting several individual chemical transformations and the attached analytics and purification holds hidden traps. In this review, we summarize innovative solutions for these challenges, in order to benefit chemists aiming to exploit flow chemistry systems for the synthesis of biologically active molecules. © 2016 Elsevier Ltd

The Unitary Gas and its Symmetry Properties

The physics of atomic quantum gases is currently taking advantage of a powerful tool, the possibility to fully adjust the interaction strength between atoms using a magnetically controlled Feshbach resonance. For fermions with two internal states, formally two opposite spin states, this allows to prepare long lived strongly interacting three-dimensional gases and to study the BEC-BCS crossover. Of particular interest along the BEC-BCS crossover is the so-called unitary gas, where the atomic interaction potential between the opposite spin states has virtually an infinite scattering length and a zero range. This unitary gas is the main subject of the present chapter: It has fascinating symmetry properties, from a simple scaling invariance, to a more subtle dynamical symmetry in an isotropic harmonic trap, which is linked to a separability of the N-body problem in hyperspherical coordinates. Other analytical results, valid over the whole BEC-BCS crossover, are presented, establishing a connection between three recently measured quantities, the tail of the momentum distribution, the short range part of the pair distribution function and the mean number of closed channel molecules.Comment: 63 pages, 8 figures. Contribution to the Springer Lecture Notes in Physics "BEC-BCS Crossover and the Unitary Fermi gas" edited by Wilhelm Zwerger. Revised version correcting a few typo