Patterned after Landau's Fermi-liquid theory of nuclear matter, we develop an extension of the theory for finite nuclei. Since the particle-hole interaction Vph derived from the Skyrme-Landau HF ground state is antisymmetric and the exchange term of the phonon-induced interaction is added to Vph when the renormalization of the HF single-particles due to the particle-phonon coupling is included, the total effective particle-particle interaction is anti-symmetric. We use the newly developed Skyrme-Landau interaction SL1 to evaluate the particle-particle matrix elements in the s-, d-shells. Except for a few cases, the results agree well with those calculated from the G-matrix and those from the empirical study. The spectra of 18O and 18F are predicted which indicate that except for the 5+ state of 18F, the results are similar to those obtained from the Kuo-Brown G-matrix. These results represent great improvement from predictions of the other Skyrme-type interactions which are plagued with either the anti-pairing effect or the lack of anti-symmetry in the particle-particle matrix elements.
|Number of pages||19|
|Journal||Nuclear Physics, Section A|
|State||Published - Nov 11 1991|
Bibliographical noteFunding Information:
This work is supported in part by the DOE grant DE-FG05-84ER40154. The authors wish to thank G.E. Brown for suggesting the problem and his continuing encouragement.
ASJC Scopus subject areas
- Nuclear and High Energy Physics