Well, there are different ways depending on your needs. Is that content type based on a Joomla article? If yes, you can change the permissions of the article manager. Options / Permissions / Select the group and change the "edit state" permission.
Also you can add 2 art_state fields with identical configuration (different aliases of course) and different permissions and conditions. With a Seblod Field restriction or with an SQL query restriction. The goal here is to never load the 2 fields at the same time. Maybe with a workflow restriction if you need to change the state only on edit, an so on...
Best regards.