Local scale transformations and extended matter distributions in nuclei

Abstract

Local scale transformations are made to vary the long range properties of harmonic oscillator orbitals conventionally used in model structure calculations of nuclear systems. The transformations ensure that those oscillator states asymptotically have exponentially decaying forms consistent with chosen single nucleon binding energies, leaving the structure essentially unchanged within the body of the nucleus. Application has been made to the radioactive nuclei 6,8He and 11Li and the resulting wave functions are used to generate g-folding optical potentials for elastic scattering of those ions from hydrogen. As a consistency test, application has been made to form wave functions for 40Ca and they have been used also to specify relevant proton-40Ca optical potentials with which elastic scattering has been predicted. The need for appropriate specifications of single particle binding energies in exotic nuclei is discussed.Comment: 24 pages, 16 figures, RevTex

Analytical transformed harmonic oscillator basis for continuum discretized coupled channels calculations

“…This new THO basis is obtained by application of a recently proposed LST [33] to the HO basis. The basis obtained provides a suitable discrete representation of the bound and unbound spectrum of a two-body system, which can be used within the CDCC formalism to calculate the scattering observables for reactions involving weakly bound projectiles.…”

“…Concerning the power m, we have found that the results are very weakly dependent on this parameter and, hence, in this work we take m = 4, which is in fact one of the choices used in Ref. [33].…”

“…Recently, an analytic LST that meets the requirements cited earlier has been proposed and used for problems related to nuclear structure [33]. This LST is given by the expression…”

“…In this paper, we propose an alternative prescription to define the LST, taken from the recent work of Karataglidis et al [33]. In that work the authors were interested in the description of the structure of exotic nuclei and their effect in elastic scattering experiments.…”

“…[33] is applied to the HO basis in such a way that the Gaussian tail is transformed into an exponential. However, the LST proposed by Karataglidis et al is given by an analytic formula and, in general, does not transform the first HO function into the ground state of the system.…”