A new solution ... one state is sweet (9)
I believe the answer is:
angelical
'is sweet' is the definition.
(synonyms)
'a new solution one state' is the wordplay.
'a new solution one' becomes 'angeli' (I can't explain this - if you can you should give a lot more credence to this answer).
'state' becomes 'cal' (short for California).
'angeli'+'cal'='ANGELICAL'
Can you help me to learn more?
(Other definitions for angelical that I've seen before include "heavenly" , "sublime innocence" , "Exceptionally beautiful" .)