The most common and most likely answer to this crossword clue is the 6 plus 7 letter word BUFFER COUNTRY
B
U
F
F
E
R
C
O
U
N
T
R
Y
Buddy explains!

The straight part
We know that "neutral state" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case neutral state = buffer country.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.