Creating a page for a CPT

Hello. I require assistance with something.

I have created some CPT's for a publications sytem that i have made using ACF.
I have named the archive archive-publications.php

I added a template name to the archive so that i can use that as a page
I have added a page called publications which i have assigned that template to.

Question:

1. How do i make the archive page and the single page a child of another page? I have managed to set the publications page as a child - however only when the template is accessed through the page does it remain a child of another page.

To give you some context - i have added the template to the page research publications

http://bib.vergedesign.co.uk/researchers/research-publications/

Now, this page is a child of the page 'researchers'

However when i access the archive directly

http://bib.vergedesign.co.uk/publications - this is now no longer a child of any page.

I want the archive publications to be a child of a page. And i want the single publications to also be a child of that page.

The reason i want it as a child, is because when i go into single-publication page through my initial page structure, then the permalink changes. This is what it should be

http://bib.vergedesign.co.uk/researchers/research-publications/xxx (xxx being the page name)

but isntead it changes to this http://bib.vergedesign.co.uk/publications/xxx (xxx being the page name)