Regular Series


Vol. 12 (1981), No. 2, pp. 77 – 178


Scalar Tensor Theories in \(P\)-Space Times

abstract

The vacuum field equations of scalar meson, Sen–Dunn scalar tensor theory and that of Brans–Dicke scalar tensor theory are studied in \(P\)-space times in a unified way.


The Non-Relativistic Space-Time Manifolds

abstract

A new notion of non-relativistic space-time is proposed. The dimension of the space-time manifold depends on the order of approximation.


Effective Quark Equations

abstract

Equations describing effective quarks in a meson are derived. The nature of quark confinement is discussed. The Bethe–Salpeter type equation for meson field is found and the form of binding potential is given.


Relativistic, Nonlocal Effects at Low Energies and Low Momentum Transfer

abstract

The relativistic effects due to the nonlocal character of the one particle exchange, derived from the light front field theory, are illustrated in a model of scalar nucleons exchanging a particle of mass \(\mu = 138\) MeV. For the laboratory energy of the order of 0.1 GeV, and momentum transfer squared \(|t| \lt (2\mu )^2\) we find a substantial change of the shapes of the phase shifts and the shaper of the differential cross section. These effects cannot be accommodated in an appropriate change of the coupling constant, if for the clarity of separating them we consider only one particle exchange as a driving force.


Regge Behaviour of Symmetric Octet Exchange Amplitude for Gluon–Gluon Scattering

abstract

The Regge behaviour of the symmetric octet amplitude for gluon-gluon scattering in the massive SU(3)\(_{\rm c}\) theory is studied. It is shown that the asymptotic behaviour of this amplitude is controlled by a moving Regge pole similarly to the antisymmetric octet amplitude which is asymptotically described by the reggeised gluon. The corresponding Regge trajectories are, however, different and physical origin of this difference is discussed.


Instability of a Recently Proposed MIT Vacuum

abstract

It is pointed out that a recently proposed QCD vacuum model, where space is filled with empty MIT bags, is unstable with respect to changes of shape of the bags. The argument assumes that the exact quantitative results obtained for parallelepipeds apply qualitatively also to bags of other shapes and that certain infinite terms can be safely ignored. Both these assumptions seem, however, unavoidable to make the original formulation of the model plausible.


Remark on the Copenhagen Vacuum

abstract

It is pointed Out that the Yang Mills vacuum structure proposed by the Copenhagen group can be obtained very simply and within their assumptions, when their gauge condition is used instead of the linearised equations of motion. Other choices of gauge are shown to lead to higher energy densities than that chosen. The full equations of motion together with the gauge condition admit only a trivial solution with zero colour-transverse gluons.


The Running Coupling Constant in Yang–Mills Theory

abstract

The infra-red behavior of the running coupling constant \(g^2(q^2)\) in Yang–Mills theory is calculated using a non-perturbative procedure based on the Schwinger–Dyson equations and the Slavnov–Taylor identities.


Low Transverse Momentum Hadron–Nucleus Interactions at High Energy

abstract

Implications of a new experiment on our understanding of hadron-nucleus interactions are discussed.


The Time-Dependent Particles + Core Model

abstract

The time-dependent particles + core (TDPC) model is formulated as a reduction of the general time-dependent Hartree–Fock–Bogolyubov (TDHFB) approach. Particles of the core are described by the Slater determinant which depends only on few collective parameters. The external particles are treated explicitely in the frame of the TDHFB theory. Equations which describe the evolution of both coupled parts of the system are derived. Finally, the relevance of this model for the description of heavy ion reactions is shortly discussed.


Formulation of the TDHF Theory in the Basis Evolving with the Time

abstract

The general time-dependent Hartree–Fock (TDHF) equations are derived in the restricted basis which is variationally adjusted during the evolution of the system. The canonical Hamiltonian formulation for the time-dependent variational principle (TDVP) associated with the Schrodinger equation is used here to determine the time dependence of both the nuclear wave function and the basis parameters. This approach provides a method to calculate the evolution of the complicated many-body system in the numerically convenient way.


all authors

G.D. Alkhazov, K.A. Mazilev, Yu.N. Novikov, V.N. Panteleyev, A.G. Polyakov, V.P. Afanasyev, N. Ganbaatar, K.YA. Gromov, V.G. Kalinnikov, J. Kormicki, A. Latuszyński, A. Potempa, F. Tarkanyi

New Isotope \(^{145}\)Tb

abstract

The new isotope \(^{145}\)Tb (\(T_{1\, 2} = 29.5\pm 1.5\) s) has been identified on the IRIS on-line mass-separator facility by measuring the X-ray and \(\gamma \)-ray spectra of the daughter nucleus formed as a result of the \(EC+\beta \) decay.


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