Regular Series


Vol. 19 (1988), No. 9, pp. 727 – 789


Electromagnetic Form Factors of Deuteron Electrodisintegration Near Threshold

abstract

Polarization effects near threshold of the electrodisintegration of the deuteron, \(e^- + d \to e^- +p+n\), are analysed. Polarization observables are defined in terms of 5 electromagnetic form factors (EFF) of \(S\)-state two-nucleon production. The EFF are calculated in the framework of the relativistic impulse approximation with the final state interaction taken into account. Sensitivity of the obtained results to both the choice of the deuteron wave function and the way of parametrization of the nucleon electromagnetic current off mass shell is investigated.


Nonperturbative Gluon Magnetic Mass in Three-Dimensional Gluodynamics

abstract

The infrared behavior of the Euclidean three-dimensional gluodynamics in axial gauge is investigated. A nonperturbative expression for the three gluon vertex is constructed and with its aid the Schwinger–Dyson equation for the gluon polarization tensor is solved in the infrared limit. A nonzero gluon magnetic mass proportional to the square of the effective coupling constant \(\tilde g^2= g^2T\) is found.


On the Connection Between Spin and Statistics in the Field Theory

abstract

The connection between spin and statistics in the theory of Relativistic Wave Equations (RWE) is investigated. The well-known Pauli theorem appears as a particular case.


Mystery of the Negative Binomial Distribution

abstract

Negative binomial distribution has been used to describe data on multiplicities of particles in inelastic and non-diffractive \(pp\) collisions and also \(\bar p p\) interactions as measured by the UA5 Collaboration at the CERN SPS Collider. Various incorrect procedures and misinterpretations encountered in the literature on the subject are pointed out. The negative binomial distribution is found to have serious shortcomings which cast doubts on its usefulness in describing and interpreting experimental data.


On the Relativistic Correction to the Binding Energy of \(^9\)Be-Nucleus

abstract

The \(^9\)Be-nucleus is considered as a three-body problem composed of two alpha particles and a neutron. In treating this problem, we follow Faddéev’s formalism using the technique proposed by Dąbrowski. The two-body interaction used is assumed to be non-local and separable. The relativistic correction, adopted by Gupta and Mitra, was included. It is found that the relativistic correction improves the results of the calculation of the binding energy of \(^9\)Be-nucleus. The results obtained are satisfactory and in better agreement with the experimental value.


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