The current Emperor Akihito will be called **** ("Emperor Emeritus") after the abdication on April 30. The full name with an honorific title will be () ("His Majesty the Emperor Emeritus (Akihito)"). Something like is a (posthumous name), and the current Emperor will not be called until his demise. (To be precise, his can be different from , but this is highly unlikely.)
References:
* Wikipedia - ())
> : Emperor Emeritus201951
* nippon.com -- Emperor Akihito to Be Called Emperor Emeritus after Abdication
> Emperor Akihito will be called the Emperor Emeritus and Empress Michiko the Empress Emerita after the Emperor's abdication on April 30, the Imperial Household Agency said Monday. It has been already decided that in Japanese the Emperor's post-abdication title will be Joko and the Empress' Jokogo.