Bubble nuclei

Supervisor: Paul Bonche
CEA Saclay, France
April - July 1998

Abstract

For nuclei with very high electrical charge, the Coulomb field is expected to drive the protons away from the centre to the surface of the nucleus. Such a nucleus would be no more compact but would look like a bubble. The goal of this work is to confirm this idea. We are interested in only the ground state of spherical nuclei. We use the Skyrme potential with the Sly4 parametrization to calculate the mean-field Hamiltonian. Pairing correlations are described by a surface- active delta pairing interaction. In its ground state, the nucleus A=900XZ=274 is shown to be a bubble. Another stable state is found, with a little higher energy: it is also a bubble.
 

Bibliography

[1] R.Balian, Physique Statistique, École Polytechnique, 1996.
[2] E.Chabanat, Interactions effectives pour des conditions extrêmes d'isospin, thèse présentée le 20 Janvier 1995 devant l'Université Claude Bernard Lyon 1.
[3] E.Chabanat, P.Bonche, P.Haensel, J.Meyer, R.Schaeffer, Nuclear Physics A 627 (1997) 710-746
[4] E.Chabanat, P.Bonche, P.Haensel, J.Meyer, R.Schaeffer, en cours de publication.
[5] K.Dietrich, K.Pomorski, Nuclear Physics A 627 (1997) 175-221
[6] B.Gall, P.Bonche, J.Dobaczewski, H.Flocart, P.-H.Heenen, Z.Phys. A 348 (1994) 183-197
[7] S.J.Krieger, P.Bonche, H.Flocart, P.Quentin, M.S.Weiss, Nuclear Physics A 517 (1990) 275-284
[8] A.Messiah, Mécanique Quantique, Dunod, 1964, tome 2, appendice C
[9] P.Ring et P.Schuck, The Nuclear Many-Body Problem, Springer, Berlin, 1980
[10] J.Terasaki, P.-H.Heenen, P.Bonche, J.Dobaczewski, H.Flocart, Nuclear Physics A 593 (1995) 1-20
[11] D.Vautherin et D.M.Brink, Phys. Rev. C5 (1972) 626



Back to the main page



Last update: July 1998.