Search for an isomeric state in $^{19}$C
Résumé
A search for an isomeric state in the neutron-rich nucleus $^{19}$C is reported. The existence of an isomer in the nucleus is predicted by shell model calculations which also predicts the ground-state of the nucleus to be 1/2$^+$. An isomeric transition is however not observed in the present investigation. An estimation of upper limit of isomer ratio in the beam is discussed. Furthermore, the non-observation of an isomer includes the possibility of $^{19}$C having a different ground state spin. The $^{17}$C and $^{17}$B nuclei were also investigated for delayed gamma transitions but do not exhibit any isomeric transition.