Crossword Genius

A doctor and a couple of bachelors swallowing up one’s capital (5,5)

Ross

I believe the answer is:

addis ababa

'capital' is the definition.
(capital of Ethiopia)

'a doctor and a couple of bachelors swallowing up one's' is the wordplay.
I cannot really see how this works, but
'a' is found in the answer.
'doctor' could be 'dd' (Doctor of Divinity) and 'dd' is found in the answer.
'up' could be 'is' (I've seen this in other clues) and 'is' is found within the answer.
'one' could be 'a' and 'a' is located in the answer.
The remaining letters 'baba' is a valid word which might be clued in a way I don't understand.
This explanation may well be incorrect...

(Other definitions for addis ababa that I've seen before include "African city" , "African capital" , "Capital of Ethiopia" , "Ethiopian capital" , "Hot city" .)

I've seen this clue in The Times.
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