Continuum effects for the mean-field and pairing properties of weakly bound nuclei

K. Bennaceur,¹ J. Dobaczewski,^2-4 M. Poszajczak<sup>1

1</sup>Grand Accélérateur National d'Ions Lourds (GANIL),
CEA/DSM - CNRS/IN2P3, BP 5027, F-14021 Caen Cedex, France
²Institute of Theoretical Physics, Warsaw University,
Hoza 69, PL-00681, Warsaw, Poland
³Department of Physics, University of Tennessee,
Knoxville, Tennessee 37996
⁴Joint Institute for Heavy Ion Research, Oak Ridge, Tennessee 37831

Abstract:

Continuum effects in the weakly bound nuclei close to the drip-line are investigated using the analytically soluble Pöschl-Teller-Ginocchio potential. Pairing correlations are studied within the Hartree-Fock-Bogoliubov method. We show that both resonant and non-resonant continuum phase space is active in creating the pairing field. The influence of positive-energy phase space is quantified in terms of localizations of states within the nuclear volume.