931 research outputs found
Representation of the three-body Coulomb Green's function in parabolic coordinates: paths of integration
The possibility is discussed of using straight-line paths of integration in
computing the integral representation of the three-body Coulomb Green's
function. In our numerical examples two different integration contours are
considered. It is demonstrated that only one of these straight-line paths
provides that the integral representation is valid
The -matrix inverse scattering approach for coupled channels with different thresholds
The inverse scattering method within the -matrix approach to the two
coupled-channel problem is discussed. We propose a generalization of the
procedure to the case with different thresholds.Comment: 20 pages, 3 figure
Parity nonconservation effect in the resonance elastic electron scattering on heavy He-like ions
We investigate the parity nonconservation effect in the elastic scattering of
polarized electrons on heavy He-like ions, being initially in the ground state.
The enhancement of the parity violation is achieved by tuning the energy of the
incident electron in resonance with quasidegenerate doubly-excited states of
the corresponding Li-like ion. We consider two possible scenarios. In the first
one we assume that the polarization of the scattered electron is measured,
while in the second one it is not detected.Comment: 13 pages, 3 figures, 2 table
The parabolic Sturmian-function basis representation of the six-dimensional Coulomb Green's function
The square integrable basis set representation of the resolvent of the
asymptotic three-body Coulomb wave operator in parabolic coordinates is
obtained. The resulting six-dimensional Green's function matrix is expressed as
a convolution integral over separation constants.Comment: 14 pages, 2 figure
Parity nonconservation effect in the dielectronic recombination of polarized electrons with heavy He-like ions
We investigate the parity nonconservation (PNC) effect in the dielectronic
recombination (DR) of a polarized electron with a heavy He-like ion into
doubly-excited and states of Li-like ion. We determine the
nuclear charge number for which these opposite-parity levels are near to
cross and, therefore, the PNC effect will be significantly enhanced.
Calculations are performed for quantum numbers and .Comment: 12 pages, 1 figur
Nucleon-nucleon interaction in the -matrix inverse scattering approach and few-nucleon systems
The nucleon-nucleon interaction is constructed by means of the -matrix
version of inverse scattering theory. Ambiguities of the interaction are
eliminated by postulating tridiagonal and quasi-tridiagonal forms of the
potential matrix in the oscillator basis in uncoupled and coupled waves,
respectively. The obtained interaction is very accurate in reproducing the
scattering data and deuteron properties. The interaction is used in the no-core
shell model calculations of H and He nuclei. The resulting binding
energies of H and He are very close to experimental values.Comment: Text is revised, new figures and references adde
A Discrete Version of the Inverse Scattering Problem and the J-matrix Method
The problem of the Hamiltonian matrix in the oscillator and Laguerre basis
construction from the S-matrix is treated in the context of the algebraic
analogue of the Marchenko method.Comment: 11 pages. The Laguerre basis case is adde
Parity violation in the resonance elastic electron scattering on He-like uranium
Synopsis Parity violation on the cross section of the resonance elastic electron scattering by He-like uranium ion is studied. It is assumed that the incident electron is polarized and tuned in resonance with one of the close-lying opposite-parity states
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