BCS and BEC p-wave pairing in Bose-Fermi gases

The pairing of fermionic atoms in a mixture of atomic fermion and boson gases at zero temperature is investigated. The attractive interaction between fermions, that can be induced by density fluctuations of the bosonic background, can give rise to a superfluid phase in the Fermi component of the mixture. The atoms of both species are assumed to be in only one internal state, so that the pairing of fermions is effective only in odd-l channels. No assumption about the value of the ratio between the Fermi velocity and the sound velocity in the Bose gas is made in the derivation of the energy gap equation. The gap equation is solved without any particular "ansatz" for the pairing field or the effective interaction. The p-wave superfluidity is studied in detail. By increasing the strength and/or decreasing the range of the effective interaction a transition of the fermion pairing regime, from the Bardeen-Cooper-Schrieffer state to a system of tightly bound couples can be realized. These composite bosons behave as a weakly-interacting Bose-Einstein condensate.Comment: 14 pages, 6 eps-figures. To be published in European Physical Journal

Synthesis of Chromenoimidazoles, Annulated with an Azaindole Moiety, through a Base-Promoted Domino Reaction of Cyano methyl Quaternary Salts

The reactivity of N -cyanomethyl quaternary salts of 4-, 5- and 7-azaindoles towards salicylic aldehydes has been studied. The interaction of azaindolium salts with salicylic aldehydes proceeds as a base-promoted domino reaction, giving the corresponding chromenoimidazopyrrolopyridines. In the case of the 7-(cyanomethyl)-7-azaindolium salt, the reaction was found to be more sensitive, but the use of the 1-methyl-substituted salt allowed the synthesis of the desired compounds, incorporating the heterocyclic core of isogranulatimide C, a marine natural product. © Georg Thieme Verlag Stuttgart.New York

Sequential three-component reaction of homophthalonitrile, salicylaldehydes and nitromethane

An effective preparative multi-component synthesis of 12-nitromethyl-12H-chromeno[2,3-c]isoquinolin-5-amines comprised sequential reactions of salicylaldehydes with homophthalonitrile and then with nitromethane under MW irradiation. © 201

Alcohol-Initiated Dinitrile Cyclization in Basic Media: A Route Toward Pyrazino[1,2- a ]indole-3-Amines

A selective route to the formation of 1-alkoxypyrazino[1,2- a ]indole-3-amines through alcohol-initiated dinitrile cyclization, starting from N -(cyanomethyl)indole-2-carbonitriles under basic conditions, was discovered. The resulting compounds were shown to be unstable in solution, and a three-component reaction of the dinitrile, alcohol, and aromatic aldehyde was used to overcome the problem. © 2018 Georg Thieme Verlag. All rights reserved

Synthesis of Chromenoimidazoles, Annulated with an Azaindole Moiety, through a Base-Promoted Domino Reaction of Cyano methyl Quaternary Salts

The reactivity of N -cyanomethyl quaternary salts of 4-, 5- and 7-azaindoles towards salicylic aldehydes has been studied. The interaction of azaindolium salts with salicylic aldehydes proceeds as a base-promoted domino reaction, giving the corresponding chromenoimidazopyrrolopyridines. In the case of the 7-(cyanomethyl)-7-azaindolium salt, the reaction was found to be more sensitive, but the use of the 1-methyl-substituted salt allowed the synthesis of the desired compounds, incorporating the heterocyclic core of isogranulatimide C, a marine natural product. © Georg Thieme Verlag Stuttgart.New York