Eur. Phys. J. A (2005) 25: 503-504
https://doi.org/10.1140/epjad/i2005-06-213-y

ENAM 2004

Effects of the continuum coupling on spin-orbit splitting

¹ Department of Physics and Astronomy, University of Tennessee, 37996, Knoxville, TN, USA
² Physics Division, Oak Ridge National Laboratory, P.O. Box 2008, 37831, Oak Ridge, TN, USA
³ Joint Institute for Heavy Ion Research, 37831, Oak Ridge, TN, USA
⁴ Institute of Theoretical Physics, Warsaw University, ul. Hoża 69, 00-681, Warsaw, Poland
⁵ CEA/DSM-CNRS/IN2P3, Grand Accélérateur National d’Ions Lourds (GANIL), BP 55027, F-14076, Caen Cedex 05, France

^* e-mail: michel@mail.phy.ornl.gov

Received: 24 November 2004
Accepted: 18 February 2005
Published online: 9 August 2005

Abstract

Recently, the shell model in the complex k-plane (the so-called Gamow Shell Model) has been formulated using a complex Berggren ensemble representing bound single-particle states, single-particle resonances, and non-resonant continuum states. The single-particle basis used is that of the Hartree-Fock potential generated self-consistently by a finite-range residual interaction. In this framework, we shall discuss the “spin-orbit splitting” of the 3/2₁ ^- and 1/2₁ ^- states in ⁷He. It is demonstrated that the continuum effects are very important and cannot be taken into account in standard shell-model calculations.