Fine-tuning two-particle interferometry I: Effects from temperature gradients in the source

A comprehensive model study of Bose-Einstein correlation radii in heavy ion collisions is presented. The starting point is a longitudinally and transversally expanding fireball, represented at freeze-out by an azimuthally symmetric emission function. The freeze-out temperature is allowed to feature transverse and temporal gradients. Their effects on the correlation radii are studied. In particular, we evaluate numerically their dependence on the transverse mass of the particle pairs and check a recent suggestion, based on analytical approximations, that for certain reasonable source parameters all three correlation radii satisfy simultaneously a scaling. Received: 2 July 1997 / Revised version: 25 September 1997 / Published online: 23 February 1998     

Systematic approach to the theory of Jost functions

Czechoslovak Journal of Physics -     

Reduction of the effective rotational Hamiltonian for pyramidal XY3 molecules with a large-amplitude inversion motion

The previously described reduction of the effective rotational Hamiltonian for semirigid molecules of C_3v or D₃ point group symmetry [M. R. Aliev and V. T. Aleksanyan, Opt. Spectrosc.24, 201–206 (1968)] has been extended to nonrigid molecules with a significant inversion splitting of the energy levels (e.g., NH₃, H₃O⁺, CH₃^?, or SiH₃ molecules). Although for semirigid molecules like PH₃ or AsH₃, the parameters α and η′₃ which appear in the terms α[J₊³ + J_?³, J_z]₊ and η′₃(J₊⁶ + J_?⁶) are almost completely correlated, the effects of the inversion splitting and the accidental resonance which can occur between the interacting rotational levels in nonrigid molecules make it possible to determine α and η′₃ separately. The results of fitting the experimental data for ¹⁴NH₃ and ¹⁵NH₃ [?. Urban, Romola D'Cunha, K. Narahari Rao, and D. Papou?ek, Canad. J. Phys.62, 1775–1791 (1984); Romola D'Cunha, ?. Urban, K. Narahari Rao, L. Henry, and A. Valentin, J. Mol. Spectrosc.111, 352–360 (1985)] are in agreement with this conclusion. The possibility of the determination of the sign of η₃ from a simultaneous analysis of the allowed and Δk = ±3 forbidden transitions in semirigid XY₃ molecules has been discussed.     

Mollwo-Ivey relations for emission bands in copper doped alkali halides

The fluorescence spectra were measured of nine alkali halides with a low concentration of monovalent copper. Relations analogous to Mollwo-Ivey law for F-centers and for lead doped alkali halides were found to be satisfied by the measured wavelengths corresponding to the emission band maxima. The Stokes shifts, however, were here essentially larger as compared to those of lead doped alkali halides. Their order of magnitude is about the same as for F-centers.Dedicated to Prof. Dr. I. Tarján on occasion of his 60th birthday.Cukrovarnická 10, Praha 6, Czechoslovakia.The authors wish to express their appreciation to Dr. M. Lébl, CSc., and Ing. . Barta, CSc., for growing the crystals and to Mrs. I. Velická for the polarographic analysis.     

Some insight into the structure of the nuclei 19F, 19Ne, 21Ne, 21Na, 23Na and 23Mg through the generator coordinate method and the projected Hartree-Fock method

Structures of two sets of mirror nuclei ¹⁹Ne, ²¹Na, ²³Mg and ¹⁹F, ²¹Ne, ²³Na were studied comparatively by means of the electromagnetic properties of the even-parity states, calculated with the generator coordinate method and with mixing of projected Hartree-Fock determinants. The present results are compared with those of complete diagonalization. In particular, collective features of these nuclei are investigated by comparing the various microscopic results with the predictions of the simple rotational model.