Proton scattering by short lived sulfur isotopes

Elastic and inelastic proton scattering has been measured in inverse kinematics on the unstable nucleus ${}^{40}\mathrm{S}$. A phenomenological distorted wave Born approximation analysis yields a quadrupole deformation parameter ${\beta }_2=0.35\mathrm{}\pm 0.05$ for the $2_1^{+}$ state. Consistent phenomenological and microscopic proton scattering analyses have been applied to all even-even sulfur isotopes from $A=32\mathrm{}$ to $A=40\mathrm{}$. The second analysis used microscopic collective model densities and a modified Jeukenne-Lejeune-Mahaux nucleon-nucleon effective interaction. This microscopic analysis suggests the presence of a neutron skin in the heavy sulfur isotopes. The analysis is consistent with normalization values for ${\lambda }_v$ and ${\lambda }_w$ of 0.95 for both the real and imaginary parts of the Jeukenne-Lejeune-Mahaux potential.