We investigate the shell structure of spherical nuclear bubbles in sim
ple phenomenological shell model potentials. The bunching is produced
by the energy gaps between single-particle states with a different num
ber of radial nodes. The shell correction energies for doubly magic bu
bbles may be as large as -40 MeV and probably imply a very long lifeti
me against spontaneous fission. beta-stability occurs for ratios of th
e neutron number N to the proton number Z which differ markably from t
he beta-stability valley of ordinary compact nuclei. The alpha-decay p
robability is shown to be very small for proton rich bubbles with a mo
derately large outer radius, Metastable islands of nuclear bubbles are
shown to exist for nucleon numbers in the range A = 450-3000. (C) 199
7 Elsevier Science B.V.