• Volume 46, Issue 1

January 1996,   pages  1-74

• Painlevé analysis and exact solutions of two dimensional Korteweg-de Vries-Burgers equation

Two dimensional Korteweg-de Vries-Burgers equation is shown to be non-integrable using Painlevé analysis. Exact travelling wave solutions are obtained using an algorithmic approach of truncating the Painlevé series expansions.

• Objectification problem, CHSH inequalities for a system of two spin-1/2 particles

The weak objectification and Bell/CHSH inequalities are studied for a particular type of set of states of two spin-1/2 particles. The restriction on interference term which allows Bell/CHSH inequalities to be satisfied are found out.

• On the structure and multipole moments of axially symmetric stationary metrics

The structure of the stationary metrics [1], generated from Laplace’s solutions as seed, is investigated. The expressions for the equatorial and polar circumferences, the surface area of the event horizon, location of singular points and the Gaussian curvatures of the metrics [1] are derived and their variations with the field parameter α0 are studied. The multipole moments are calculated with the help of coordinate invariant Geroch-Hansen technique. These investigations expose some interesting properties of the metrics, some of which are known in the literature and some deserve a new interpretation.

• Effect of heavy quark symmetry on the mass difference ofB-system in minimal left right symmetric model

An estimation of the mass difference of$$B_d^0 - \bar B_d^0$$ system with heavy quark symmetry formalism is presented. The effective Hamiltonian describing the transition$$\bar hd \leftrightarrow h\bar d$$ (whereh=b forBd0-system) is considered in a manifest left right symmetric (MLRS) model along with contribution from neutral Higgs boson. We use the spin and flavor symmetry for heavy quarks to obtain the transition matrix element 〈Bd0|ℋeff(x)|$$\bar B_d^0$$d0〉 in terms of Isgur-Wise function. Assuming thatBd0 and$$\bar B_d^0$$ states are at rest, we find that Isgur-Wise function turns out to be unity. However using the experimental values of ΔMK and$$\Delta M_{B_4 }$$ as input, we find thatMR=835 GeV andMH⩾2·9 TeV.

• Signature inversion in theK=4 band in doubly-odd152Eu and156Tb nuclei: Role of theh9/2 proton orbital

The phenomenon of signature inversion in the doubly-odd nuclei152Eu and156Tb is understood within the framework of a two-quasiparticle plus rotor model. It is shown that theh9/2:1/2[541] proton orbital plays a crucial role in reproducing this phenomenon.

• Conservation of channel spin in transfer reactions

The conservation of channel spin implying that the spin of the initial bound pair coupled to that of the initial free particle should result in the same channel spin as the spin of the final bound pair coupled to the spin of the final free particle, follows as a consequence of three-body theory of transfer reactions with the assumption of separability of two-bodyt-matrix. To test the validity of this principle we look at the experimental data on stripping reactions on even-even nuclei. We find that although reactions to channels not conforming to channel spin conservation are not altogether ruled out, the cross-sections of reactions violating channel spin conservation are much smaller than those conforming to channel spin conservation.

• # Pramana – Journal of Physics

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