I think the hook you're looking for is draft_to_publish
If you are wanting to only send an email on a new post I would consider targeting when the post is published. You could even look at the transition_post_status
hook and just conditionalize if the post has been edited, something like this could work:
function so_post_40744782( $new_status, $old_status, $post ) {
if ( $new_status == 'publish' && $old_status != 'publish' ) {
$author = "foobar";
$message = "We wanted to notify you a new post has been published.";
wp_mail($author, "New Post Published", $message);
}
}
add_action('transition_post_status', 'so_post_40744782', 10, 3 );