Recent heavy ion experiments and statistical model of hadrons

The combined CERN and Brookhaven heavy ion (H.I.) data supports a scenario of hadron gas which is in chemical and thermal equilibrium at a temperatureT of about 140 MeV. Using the Brown-Stachel-Welke model (which gives 150 MeV) we show that in this scenario, the hot nucleons have mass 3T and the and mesons have masses close to T and 2T, respectively. A simple model with pions and quarks supports the co-existence of two phases in these heavy ion experiments, suggesting a second order phase transition. The masses of the pion, rho and the nucleon are intriguingly close to the lattice screening masses.Supported by FAPESP of São Paulo, Brasil and DST grant no SP/S2/K04/92 Govt. of India     

Quasibound states in the continuum in a two channel quantum wire with an adatom

We report the prediction of quasibound states (resonant states with very long lifetimes) that occur in the eigenvalue continuum of propagating states for certain systems in which the continuum is formed by two overlapping energy bands. We illustrate this effect using a quantum wire system with two channels and an attached adatom. When the energy bands of the two channels overlap, a would-be bound state that lays just below the upper energy band is slightly destabilized by the lower energy band and thereby becomes a resonant state with a very long lifetime (a second such state lays above the lower energy band). Unlike the bound states in continuum predicted by von Neumann and Wigner, these states occur for a wide region of parameter space.     

Thrust and slip line analysis of one track shoe

This paper attempts to derive an analytical method which can evaluate the thrust and the slip line exerted by a continuous track shoe. Calculated values of the thrust and the slip line predicted by this analytical method are compared with values obtained through experiment with one track shoe. Comparison shows that the calculated thrust and slip line agree quite satisfactorily with the measured results.     

Scales and Universality in Few-Body Systems

The role of scales in the physics of large few-body systems is reviewed. They are evidenced by considering weakly-bound three and four particles, where point-like interactions are regularized and renormalized in a procedure characterized by the emergence of physical scales fixed by observables. The results obtained with renormalized zero-ranged two-body interactions are presented in the form of universal scaling plots, or correlations between observables, where we also consider results of several other model calculations, as well as experimental results obtained in nuclear physics and cold-atom laboratories. The universal correlations between few-body observables are useful to predict one in terms of another observable and we discuss applications in setting low energies properties of halo nuclei, molecular and cold atom systems.     

Preparation of pyrazolo[5,1-c][1,4]benzoxazines by intramolecular [3+ + 2] cycloaddition reaction of hydrazonium chlorides with alkenes

Pyrazolo[5,1-c][1,4]benzoxazines were prepared by the reaction of 2-(allyloxy)phenylhydrazine with arylaldehydes in the presence of hydrochloric acid. The formation of the fused heterocycles can be explained by intramolecular 1,3-dipolar cycloaddition reaction of cationic dipole, i.e‥, hydrazonium chlorides.     

Complex formations of silver(I) trifluoroacetate and trifluoromethanesulfonate with benzene and cyclohexene

An apparatus for measurements of equilibrium ligand vapor pressure has been applied in order to determine the stoichiometry of benzene and cyclohexene complexes of silver(I) trifluoroacetate (AgCF₃CO₂) and silver(I) trifluoromethanesulfonate (silver(I) triflate, AgCF₃SO₃) in the solid state. It has been found that the equilibrium leads the formation of such complexes as: (AgCF₃CO₂)₂(C₆H₆), (AgCF₃CO₂)₂(C₆H₁₀), (AgCF₃CO₂)₂(C₆H₁₀)₃, (AgCF₃SO₃)₂(C₆H₆), (AgCF₃SO₃)(C₆H₆), (AgCF₃SO₃)(C₆H₁₀) and (AgCF₃SO₃)(C₆H₁₀)₂. The temperature dependence of the gas-solid equilibrium ligand pressure has also been examined for these complexes, and the enthalpy and entropy changes according to the following complex dissociation reactions were estimated: (AgCF₃CO₂)L_m (s) AgCF₃CO₂ (s)+mL (g): and (AgCF₃SO₃)L_n (s) AgCF₃SO₃ (s)+nL (g), where L's are benzene and cyclohexene. On the basis of the thermodynamic data obtained, the effects of the counter anion as well as the ligand on the complex stability are discussed.     

Effect of impingement angle on the outcome of single water drop impact onto a plane water surface

Experiments of single water drop impact onto a plane water surface were carried out to investigate the effect of impingement angle on the total mass of secondary drops produced during the collision. When the impingement angle (the angle between the velocity vector of primary drop and the normal vector to water surface) was less than 50°, an increase in the impingement angle led to a remarkable increase in the total mass of secondary drops; this could be attributed to a significant increase in the secondary drop size. However, no secondary drop was observed within the experimental ranges tested when the impingement angle exceeded 70°.     

Morphospecific polymer from the copolymerization of trioxane and ethylene oxide

Recently, we have observed the following phenomena during the copolymerization of trioxane and ethylene oxide using a boron trifluoride initiator. In almost all of the polymerization cases, all polymers were soluble in a p-chlorophenol-tetrachloroethane mixed solvent at 90°C. However, in some polymerization cases, a small portion of the polymer was insoluble at this temperature, and this mixed solvent-insoluble fraction showed a higher melting point than that of the other fractions. Scanning electron microscope (SEM) photographs of the polymer showed that a highly fibrous structure was formed for the mixed solvent-insoluble fraction, and this highly packed structure is thought to be the origin of the high melting fraction. The nature of this high melting fraction was further examined using X-ray diffraction and Raman spectra. © 1997 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 35 : 2479–2486, 1997     

Universality in Four-Boson Systems

We report recent advances on the study of universal weakly bound four-boson states from the solutions of the Faddeev-Yakubovsky equations with zero-range two-body interactions. In particular, we present the correlation between the energies of successive tetramers between two neighbor Efimov trimers and compare it to recent finite range potential model calculations. We provide further results on the large momentum structure of the tetramer wave function, where the four-body scale, introduced in the regularization procedure of the bound state equations in momentum space, is clearly manifested. The results we are presenting confirm a previous conjecture on a four-body scaling behavior, which is independent of the three-body one. We show that the correlation between the positions of two successive resonant four-boson recombination peaks are consistent with recent data, as well as with recent calculations close to the unitary limit. Systematic deviations suggest the relevance of range corrections.