47 research outputs found
Algebraic Model for Quantum Scattering. Reformulation, Analysis and Numerical Strategies
The convergence problem for scattering states is studied in detail within the
framework of the Algebraic Model, a representation of the Schrodinger equation
in an L^2 basis. The dynamical equations of this model are reformulated
featuring new "Dynamical Coefficients", which explicitly reveal the potential
effects. A general analysis of the Dynamical Coefficients leads to an optimal
basis yielding well converging, precise and stable results. A set of strategies
for solving the equations for non-optimal bases is formulated based on the
asymptotic behaviour of the Dynamical Coefficients. These strategies are shown
to provide a dramatically improved convergence of the solutions.Comment: 31 pages, 41 postscript figure
Theoretical analysis of resonance states in , and above three-cluster threshold
The resonance states of , and , embedded in the
three-cluster continuum, are investigated within a three-cluster model.
The model treats the Pauli principle exactly and incorporates the Faddeev
components for proper description of the boundary conditions for the two- and
three-body continua. The hyperspherical harmonics are used to distinguish and
numerate channels of the three-cluster continuum. It is shown that the
effective barrier, created by three-cluster configuration , is strong
enough to accommodate two resonance states.Comment: 20 page, 4 figure
Monopole and quadrupole polarization effects on the alpha-particle description of Be
We investigate the effect of monopole and quadrupole modes on the elastic
alpha-alpha resonance structure of Be. To this end we make a fully
microscopic coupled channels calculation with three coupled channels, using the
Algebraic Model. The continuum spectrum and wave functions are analyzed in
terms of the individual channels to understand the nature of the resonances. It
is shown that both monopole and quadrupole modes have a non-negligible effect
on the resonances in the alpha-alpha continuum.Comment: 20 pages, 4 figures. submitted to Phys.Rev.
PMC17 MONITORING OF PHARMACEUTICAL COST OF REIMBURSED MEDICINES BY COMBINING OFFICIAL PHARMACY INVOICE DATA WITH COMMERCIAL IMS SALES DATA
Algebraic Model for scattering of three-s-cluster systems; 2, Resonances in the three-cluster continuum of 6He and 6Be
The resonance states embedded in the three-cluster continuum of 6He and 6Be are obtained in the Algebraic Version of the Resonating Group Method. The model accounts for a correct treatment of the Pauli principle. It also provides the correct three-cluster continuum boundary conditions by using a Hyperspherical Harmonics basis. The model reproduces the observed resonances well and achieves good agreement with other models. A better understanding for the process of formation and decay of the resonance states in six-nucleon systems is obtained
Algebraic Model for scattering of three-s-cluster systems. II. Resonances in the three-cluster continuum of 6He and 6Be
The resonance states embedded in the three-cluster continuum of 6He and 6Be
are obtained in the Algebraic Version of the Resonating Group Method. The model
accounts for a correct treatment of the Pauli principle. It also provides the
correct three-cluster continuum boundary conditions by using a Hyperspherical
Harmonics basis. The model reproduces the observed resonances well and achieves
good agreement with other models. A better understanding for the process of
formation and decay of the resonance states in six-nucleon systems is obtained.Comment: 8 pages, 10 postscript figures, submitted to Phys. Rev.
Algebraic Model for scattering in three-s-cluster systems. I. Theoretical Background
A framework to calculate two-particle matrix elements for fully
antisymmetrized three-cluster configurations is presented. The theory is
developed for a scattering situation described in terms of the Algebraic Model.
This means that the nuclear many-particle state and its asymptotic behaviour
are expanded in terms of oscillator states of the intra-cluster coordinates.
The Generating Function technique is used to optimize the calculation of matrix
elements. In order to derive the dynamical equations, a multichannel version of
the Algebraic Model is presented.Comment: 20 pages, 1 postscript figure, submitted to Phys. Rev.
A Microscopic Cluster Description of 12C
We investigate both bound and resonance states in 12C embedded in a
three-\alpha-cluster continuum using two distinct three-cluster microscopic
models. The first one relies on the Hyperspherical Harmonics basis to enumerate
the channels describing the three-cluster continuum. The second model
incorporates both Gaussian and Oscillator basis functions, and reduces the
three-cluster problem to a two-cluster one, in which a two-cluster subsystem is
described by a set of pseudo-bound state states. It is shown that the results
agree well with comparable calculations from the literature.Comment: 31 pages, 12 figures, 9 table