Projectile deformation effects in the breakup of ³⁷Mg

We study the breakup of ³⁷Mg on Pb at 244 MeV/u with the recently developed extended theory of Coulomb breakup within the post-form finite range distorted wave Born approximation that includes deformation of the projectile. Comparing our calculated cross section with the available Coulomb breakup data we determine the possible ground state configuration of ³⁷Mg. Our calculations seem to favor a J^π = 3/2^- spin assignment to the ³⁷Mg ground state with one-neutron separation energy (S_-1n) of (0.10 ± 0.02) MeV, if the spectroscopic factor (C²S) for this state is taken to be the corresponding shell model value of 0.31. However, due to the uncertainty in the C²S value, the J^π=1/2⁺ spin assignment can not be fully excluded