Numerical solutions to the Schrodinger equation with the logarithmic nonlinearity in one and two dimensions are presented. A resonance energy interval is found, where two colliding pulses produce a third one. Away from the resonance solutions exhibit soliton-like properties.
A general method is described by which a class of exact solutions of Einstein’s field equations is obtained representing nonstatic spherically symmetric distributions of charged perfect fluid. A class of static solutions is also obtained from the above as a special case. The method is a generalisation of that described earlier by Chakravarty et al. for nonstatic neutral fluid spheres. In addition to some previously known solutions, a new set of exact solutions is found. The dynamical behaviour of one of them (a generalisation of Nariai’s solution for a neutral fluid sphere) is briefly discussed.
The exact solutions for a vector meson in a quantized plane-wave external field are obtained. The expressions for 4-momentum of the particle and wave system are derived for each of three particle spin states.
Levels in \(^{143}\)Nd have been studied by means of the \(^{144}\)Nd(d, t) \(^{143}\)Nd reaction at a bombarding energy of 12.1 MeV. The reaction products were observed with a magnetic spectrograph and photographic plate recording. The spectroscopic factors for the observed levels were obtained from a DWBA calculation. The energies and spectroscopic factors of the states in the \(^{143}\)Nd nucleus are calculated in terms of the intermediate coupling unified model.
It is shown that the dominant source of the forward–backward asymmetry in the pion spectra in the central (low x) region in meson–nucleon collisions is the contribution from the decay of low mass meson resonances produced in the fragmentation region (say, \(|x|\geq 0.3\), \(x=p_{\rm L}/p_{\rm L}^{\rm max}\)). Implications of this fact for models of multiparticle production are briefly discussed.
Equivalence of the Lagrangian formulation of Hsu and Sudarshan to the conventional Fujikawa, Lee and Sanda formulation of Weinberg–Salam model is demonstrated.
It is shown that the ratio of the slope of the diffraction peak to the total cross-section at infinite energy, \(B(\infty )/\sigma _{\rm tot}(\infty )\), is essentially given by the low and intermediate energy behaviour of the scattering amplitude satisfying geometrical scaling (GS).
