### Regular Series

#### Vol. 17 (1986), No. 12, pp. 1017 – 1124

Caustics of Space-Time Foliations in General Relativity

Acta Phys. Pol. B 17, 1017 (1986)

page 1017 •

abstract

Gravitation singularities are examined as singularities of space-time foliations. These singularities represent topology transitions and caustics.

On the Theory of Fields in Finsler Spaces — III

Acta Phys. Pol. B 17, 1029 (1986)

page 1029 •

abstract

Some structural features caused by the intrinsic behavior of the internal variable $(y)$ are reconsidered in more detail with respect to our newly introduced Finsler metric $g_{\lambda \kappa }(x,y)=\gamma _{\lambda \kappa }(x)+h_{\lambda \kappa }(x,y)$ (Acta Phys. Pol. B15, 757 (1984)), where $\gamma _{\lambda \kappa }$ denotes the Riemann metric in Einstein’s sense and $h_{\lambda \kappa }$ the Finslerian metric induced by the internal field spanned by vectors $\{y\}$. In particular, the mapping process of the internal $(y)$-field on the external $(x)$-field is treated systematically.

Introduction to Higher Order Analysis of the Electroweak Interaction

Acta Phys. Pol. B 17, 1037 (1986)

page 1037 •

abstract

An elementary lecture on electroweak higher order effects is presented. The procedure for renormalizing the electroweak theory on the mass shell is explained. Details of practical one-loop calculations are shown by taking neutrino processes as examples, where treatments of the infrared (IR) and the collinear (CL) divergences are also described. After giving numerical results, an attempt to test clearly for the higher order effects is explained. Applications of this method to heavy particle searches are also shown.

Rapidity Distribution and Decay Angular Distribution of Clusters in the Giovannini–Van Hove Model

Acta Phys. Pol. B 17, 1085 (1986)

page 1085 •

abstract

The data on particle production in $p\bar p$ collisions at 540 GeV c.m. energy are fitted using Giovannini–Van Hove model with identical clusters. Rapidity distribution of clusters as well as angular distribution in their decay are determined. The corresponding widths (in (pseudo)rapidity) are 5.2 and 2.6, respectively.

Soliton Scattering in Nuclear Matter in One Dimension

Acta Phys. Pol. B 17, 1091 (1986)

page 1091 •

abstract

We have considered a model Hamiltonian system in one dimension with higher order nonlinearity to simulate the excitations of nuclear “drops” or “solitons” in the background of the usual vacuum. The theory is usually referred to as $\psi ^4-\psi ^6$ theory and has been already used in many different physical contexts. Essentially we have considered the interaction of two such solitary excitations and their subsequent evolution regarding. amplitude and phase.

The Sharp Radius, Effective Interaction Range and the Volume Integral of the Shell Model Potential

Acta Phys. Pol. B 17, 1101 (1986)

page 1101 •

abstract

An analysis of the central part of the shell model potential in terms of the sharp radius, effective interaction range and the volume integral, for nuclei with $36 \leq A \leq 65$ is given. A comparison of the $A$-behaviour of these quantities obtained in this analysis with that characterizing the real part of the optical model potential is made. For nuclei investigated the linear dependence of the volume integral per nucleon on the binding energy of the last proton is observed.

The New Diagonalization Procedure in the Interacting Boson Model and Its Application

Acta Phys. Pol. B 17, 1109 (1986)

page 1109 •

abstract

The recently constructed complete basis of states in the Interacting Boson Model has been adopted to the calculation of matrix elements of relevant physical operators. The new numerical program has been written for the IBM analysis. The program has been tested by the calculating energy levels and boson eigenstates of Gd-Xe isotopes. The boson states have been used to calculate transition probabilities $E2$ for the same isotopes. Only one-parameter calculations fairly well reproduce experimental data.

Multipole Dependence of the Giant Resonance Spreading Width

Acta Phys. Pol. B 17, 1121 (1986)

page 1121 •

abstract

Using effective interactions based on a Brueckner $G$-matrix we calculate natural-parity isoscalar vibrations in $^{48}$Ca. The conventional RPA theory is extended to include 1p1h- as well as 2p2h-excitations in a consistent way. The results indicate an increasing role of configuration mixing effects with increasing multipolarity of the isoscalar excitation.

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