30 August 2015 to 4 September 2015
MartiniPlaza Congress Center
Europe/Berlin timezone

Dynamics of two-cluster systems in phase space

1 Sep 2015, 14:15
15m
Room 5

Room 5

Speaker

Yuliya Lashko (BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS, Kiev, Ukraine)

Description

We present a phase-space representation of quantum state vectors for two-cluster systems which is valid both for finite hbar and when hbar goes to zero. The Bargmann-Segal transformation was used to map wave functions of two-cluster systems in the coordinate space into the Fock-Bargmann space. The density distribution in the phase space was compared with those in the coordinate and momentum representations. Density distributions in the Fock--Bargmann space were constructed for bound and resonance states of 6,7Li and 7,8Be, provided that all these nuclei are treated within a microscopic two-cluster model. The microscopic model is based on the resonating-group method and uses a full set of oscillator functions to expand a wave function of relative motion of interacting clusters. The dominant two-cluster partition of each nucleus was taken into consideration. The input parameters of the model and nucleon-nucleon potential were selected to optimize description of the internal structure of clusters and to reproduce position of the ground state with respect to the two-cluster threshold. We considered a wide range of excitation energies of compound systems, but special attention was devoted to the bound and resonance states. Bound states and narrow resonance states realize themselves in a very compact area of the phase space. We establish the quantitative boundaries of this region for the nuclei under consideration. Phase portraits of the high-energy excited states peak along the line which coincides with a classical trajectory.

Primary author

Yuliya Lashko (BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS, Kiev, Ukraine)

Co-authors

Prof. Gennady Filippov (Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine) Dr Viktor VASILEVSKY (BOGOLYUBOV INSTITUTE FOR THEORETICAL PHYSICS, KIEV, UKRAINE)

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