Currently, a repository archive can be downloaded using the endpoint :

https://bitbucket.org/<workspace slug>/<repo slug>/get/<commit hash or branch name>.zip

However, it's currently only possible to use an API Token or an OAuth access token for authentication.

When trying to use Repository Access Tokens (RATs) to authenticate :

curl --request GET --url 'https://bitbucket.org/<workspace>/<repository>/get/master.zip' --header 'Authorization: Bearer <Repository Access token>' 

The following error is returned :

{"type": "error", "error": {"message": "Token is invalid or not supported for this endpoint."}} 

This feature request is to implement the ability to download repository archives using RATs.