Speaker
Description
By using a non-relativistic independent particle approach, we have investigated the mechanism promoting $N=34$ as a new magic number [1]. We carried out Hartree-Fock plus Bardeen-Cooper Schrieffer and Quasi-particle Random Phase Approximation calculations by consistently using the same finite-range interaction in all the the steps of our approach [2]. We used four Gogny-like interactions, with and without tensor terms. We found that the shell closure for $N=34$ neutrons appear in isotones with proton number smaller than 26. The smaller is the proton number, the more evident is the shell closure at N=34. For this reason, we studied in detail the nucleus $^{48}$Si, that appears to be the nucleus with the lowest value of $Z$ for $N=34$ before the drip line [3]. By using the same techniques, we have investigated also the mechanism producing the extinction of the $N=20$ neutron shell closure in the nucleus $^{32}$Mg [4]. We studied the contribution of the tensor interaction in the emergence of new magic numbers or in the disappearence of the traditionally ones.
REFERENCES
[1] D. Steppenbeck et al., Nature 502, 207 (2013).
[2] V. De Donno et al., Phys. Rev. C95, 054329 (2017).
[3] J. Erler et al., Nature 486, 509 (2012).
[4] A. Chaudhuri et al., Phys. Rev. C88, 054317 (2013).
