We may imagine two measuring conditions: we adopt simultaneity in only one reference system (NS theory) or in every reference system (S theory). According to the adopted convention we obtain in hydrodynamics the usual equation (S theory) or the equation previously proposed by the author (NS theory). The operational definition of the measuring conditions seems to favour the new equation.
The form factor of hadrons in exclusive scattering initiated by hadrons and photons has been investigated on the basis of the dual parton model of hadrons developed by Bandyopadhyay and De. Also, it has been shown that this form factor arises from the electromagnetic form factor of pion in the structure of hadrons. Finally from the scaling behaviour of the differential cross-section of the exclusive scattering of the type \(AB \to CD\), predicted by Brodsky and Farrar, in the asymptotic region \(s \to \infty \), \(t \to \infty \), \(t/s\) fixed, an analytical form of the form factor in the hadronic two body exclusive interaction has been suggested.
It is shown that the conventional expression for the n-reggeon branch point trajectory \(\alpha _n(t)=n\alpha (t/n^2)-n+1\) does not apply in general to nonlinear Regge pole trajectories. When the form of a trajectory is somewhat restricted, a reconstruction of the \(J\)-plane occurs and a new branch point emerges to the right of the classical branch point. If pole trajectories rise as \(|t|^x\) where \(x \leq \frac {1}{2}\), the momentum distribution on reggeons becomes asymmetric when the momentum transfered by one reggeon reaches some critical value.
It is shown how to obtain the Ward identities and the equation for Green functions in our approach based on the external source method combined with the quantum dynamical equation. The results obtained previously and in this paper make transparent the connection between Mandelstam’s geometric approach and the functional approach to the quantization problem of gauge fields.
A self-consistent calculation for the rho-meson mass and width is performed. The Veneziano model is used to calculate a partial-wave amplitude for pion-pion scattering with isospin \(I=1\) and angular momentum \(I=1\). The left-hand cut discontinuity is obtained for this partial wave and is used as input to the Frye–Warnock \(N/D\) equations. From the \(N/D\) equations, a new partial-wave amplitude satisfying unitarity is determined. The absorption factor, \(\eta (s)\), is adjusted so that the output \(\varrho \) resonance from the new partial wave is consistent with experimental values. By varying parameters associated with the right and left-hand cuts, the relative significance of the two cuts is examined.
A general formula is obtained for the coefficient of transition from the wave function of the usual nuclear shell model for the dipole states in \(p\)-shell nuclei to the wave function of the translationally invariant shell model. The coefficients for the set of functions of the configurations \(s^3p^3\) and \(s^4p(2s-1d)\) are calculated and a table is given.
The angular distributions in the three body decay followed by nuclear gamma radiation are analysed in the model independent way in terms of the corresponding helicity decay amplitudes. This analysis is applied to muon capture processes with neutron emission. Comparison of the giant dipole resonance model with the direct process is given. Many conclusions about separation of the nuclear and weak interactions can be easily found from our results.
As a consequence of a new foundation of quantum theory, developed by us recently, a new method of calculation for treating time-dependent quantum mechanical problems evolved. Here this method is applied to a multi-level system under time-dependent influences. After presenting the general features of the method the formalism is applied to a 2-level system.
Particle production in hadron-nucleus and nucleus-nucleus collisions in the high energy limit is estimated assuming that hadrons are built from “elementary” constituents. The increase with \(A\) of the density of particles produced in the plateau region is a sensitive function of the “effective” number of constituents.
It is shown that in the Einstein–Cartan theory of gravitation, black holes of arbitrary small mass could not be formed. The minimal mass of a primordial black hole is estimated.
