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The nuclear equation of state is explored with the constrained HFB approachfor self conjugate nuclei. It is found that beyond a certain low, more or lessuniversal density, those nuclei spontaneously cluster into A/4 alpha particleswith A the nucleon number. The energy at the threshold density increaseslinearly with the number of alpha particles as does the experimental thresholdenergy. Taking off the spurious c.o.m. energy of each alpha particle almostgives agreement between theory and experiment. The implications of theseresults with respect to alpha clustering and the nuclear EOS at low density arediscussed.

Alpha-Particle Clustering from Expanding Self-Conjugate Nuclei within the Hartree-Fock-Bogoliubov Approach