Manuel de Llano

Nuclear matter theory revisited

Abstract Claiming that the usual Fermi sea of plane waves Hartree-Fock vacuum state cannot be the true (or stablest) ground vacuum state for nuclear matter, since it violates a monotonicity requirement, we discuss some recent attempts in facing the problem of how to find such a (zero-order) state. The one-dimensional Fermi gas with zero- and finite-range interactions, as well as self-consistent alpha-clustering effects in three-dimensional nuclear matter, are employed as examples to illustrate the concepts involved in such a search.

Atomic nuclei as solitons

The N-soliton solution of the Korteweg-de Vries equation, in an extended from, is utilized to represent a reflectionsless nuclear mean field potential in which the N-empirical bound state energies are associated with the solutions, and formulate generally the problem of nuclear structure, reactions, and two-nucleon interactions from an inverse scattreing theory approach.