Experimental and theoretical evidences for an intermediate σ\sigma-dressed dibaryon in the NN interaction

Numerous theoretical and experimental arguments are presented in favor of the generation of intermediate $\sigma$-dressed dibaryon in $NN$ interaction at intermediate and short distances. We argue that this intermediate dibaryon can be responsible for the strong intermediate-range attraction and the short-range repulsion in the $NN$ interaction, and also for the short-range correlations in nuclei. The suggested mechanism for the $\sigma$-dressing of the dibaryon is identical to that which explains the Roper resonance structure, its dominant decay modes and its extraordinary low mass. A similar transformation mechanism from the glue to the scalar field was discovered in $J/\Psi$ decays. The new experimental data on 2$\pi$-production in the scalar-isoscalar channel produced in $pn$- and $pd$-collisions and in particular the very recent data on $\gamma\gamma$ correlations in $p$C and $d$C scattering in the GeV region seems to corroborate the existence of the $\sigma$-dressed dibaryon in two- and three nucleon interactions.Comment: 14 pages,4 figure

Experimental and theoretical backgrounds for generation of dibaryons in

Numerous experimental and theoretical arguments in favor of the intermediate dibaryon generation in NN and 3N interactions are presented. Using some specific mechanism for the scalar field production when the 2ħω-excited multi-quark system deexcites to the ground state one formulates a concept for σ-dressed dibaryon as a carrier of intermediate-range attraction and a reason for short-range repulsion in NN-interaction. It is argued that the basic mechanisms responsible for large lowering of the Roper-resonance and the dressed dibaryon masses should be very similar. The modern experimental data of a few groups seem to confirm strongly the dibaryon picture in NN and 3N-interactions. Some important common features of the dibaryon and pomeron in highenergy NN scattering are discussed

Solving few-body scattering problems in the momentum lattice basis

The brief description of a new approach based on the Wave-Packet Continuum Discretization method recently developed by the present authors towards solving few-body quantum scattering problems is given. The formalism uses the complete continuum discretization scheme in terms of the momentum stationary wave-packet basis, which leads to formulation of the scattering problem on a lattice in the momentum space. The solution of the few-body scattering problem can be found in the approach from linear matrix equations with non-singular matrix elements, averaged on energy over lattice cells

Quantum Scattering Theory in a Discrete Representation

The approach to solving few-body scattering problems in a discrete representation of the stationary wave packets is described briefly. By projecting into the wave-packet basis, all the operators and wave functions are represented with finite matrices and vectors, so that the integral equations of scattering theory are reduced to their matrix analogs. In such a discrete representation, it is easy to construct the matrix analogs for any complicated operators such as total resolvent and also effective interactions between composite particles. Using a special spectral shift function formalism, multichannel scattering problem can be solved in a discrete representation without any scattering equations at all. The approach is illustrated by examples of multichannel and three-body scattering

Quantum Scattering Theory in a Discrete Representation

The approach to solving few-body scattering problems in a discrete representation of the stationary wave packets is described briefly. By projecting into the wave-packet basis, all the operators and wave functions are represented with finite matrices and vectors, so that the integral equations of scattering theory are reduced to their matrix analogs. In such a discrete representation, it is easy to construct the matrix analogs for any complicated operators such as total resolvent and also effective interactions between composite particles. Using a special spectral shift function formalism, multichannel scattering problem can be solved in a discrete representation without any scattering equations at all. The approach is illustrated by examples of multichannel and three-body scattering