# Angular momentum projection for a Nilsson mean-field plus pairing model", by Yin Wang, Feng Pan, Kristina D. Launey, Yan-An Luo, and J. P. Draayer,

Angular momentumprojection for a Nilsson mean-field plus pairing model", Nucl. Phys.
A 950 (2016) 1; doi:10.1016/j. nuclphysa. 2016.03.012. by Yin Wang,** Feng Pan**, **Kristina D. Launey**, Yan-An Luo, and **J. P. Draayer**, The paper explores the interplay of pairing and deformation in intermediate-mass
nuclei based on a new method for restoring the rotational invariance of a general
nuclear pairing-plus-deformation Hamiltonian. The pairing term is exactly solved by
using the Richardson Gaudin methods, while the deformation enters through an axially
deformed mean field of the Nilsson model. Such a general nuclear Hamiltonian breaks
the rotational symmetry. To remedy this, we carry out an angular momentum projection
for the intrinsic deformed Hamiltonian, which is then applied to low-lying states
of good angular momentum. Applications to oxygen, neon, and magnesium isotopes demonstrate
the suitability of the method. Read more.