Continuum discretization using orthogonal polynomials
A method for discretizing the continuum by using a transformed harmonic oscillator basis has recently been presented @Phys. Rev. A 63, 052111 ~2001!#. In the present paper, we propose a generalization of that formalism which does not rely on the harmonic oscillator for the inclusion of the continuum in the study of weakly bound systems. In particular, we construct wave functions that represent the continuum by making use of families of orthogonal polynomials whose weight function is the square of the ground state wave function, expressed in terms of a suitably scaled variable. As an illustration, the formalism is applied to one-dimensional ‘
Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations
This work was partially supported by the Spanish Ministerio de Educacion y Ciencia and by the European regional development fund (FEDER) under Project Nos. FIS2008-04189 and FPA2006-13807-c02-01 and by the Spanish Consolider- Ingenio 2010 Programme CPAN (CSD2007-00042). A.M.M. and F.P.B. acknowledge financial support from the Junta de Andalucia.
A simple approximation for the nuclear density matrix
Abstract We propose a new approximation for the nuclear density matrix based on the Density Matrix Expansion (DME) of Negele and Vautherin. When applied to a number of simple problems it gives better results than the Slater and the truncated DME approximations.