def METHOD_NAME(self, annotation_id, refresh=False):
    """
    Mark an annotation as deleted in the search index.
    This will write a new body that only contains the `deleted` boolean
    field with the value `true`. It allows us to rely on Elasticsearch to
    complain about dubious operations while re-indexing when we use
    `op_type=create`.
    :param annotation_id: Annotation id whose corresponding document to
        delete from the search index
    :param refresh: Force this deletion to be immediately visible to search
        operations
    """
    self._index_annotation_body(annotation_id, {"deleted": True}, refresh=refresh)