## Appendix A: nuclear equation of stateThe momentum and density dependent interaction is given by [the upper (lower) sign corresponds to nucleons with equal (unequal) isospin] (Myers & Swiatecki 1990): The quantities , , and [ with , see (A4)] denote the baryon number density, Fermi momentum, and the kinetic single-particle energy of symmetric nuclear matter at saturation ( denotes the isospin), respectively. The choice leads to a better description of asymmetric nuclear systems, and the behaviour of the optical potentials is improved by the term , where . The parameter set is given by the most recent adjustment of Myers
& Swiatecki (1996, 1998): ,
,
,
,
, and
, which leads to the following
properties of symmetric nuclear matter at saturation density
( fm The potentials radial dependence, This leads to the following single particle energy with the one-particle potential : [ and denote different isospin and the following abbreviations were used: , , , , , , and ] and the baryon number density: In the Eqs. (A3), (A4), and (A5) denotes the Fermi-Dirac distribution function (see Fig. A1 as an example) of a baryon with isospin (): where denotes the one-particle energy:
in which
© European Southern Observatory (ESO) 1999 Online publication: October 4, 1999 |