JPA one-to-one bidirectional mapping on same object using association table - jpa

Question

I have a table Person and now I want to express a relation like "best friend". Assuming a person can only have one best friend I don't want to alter the Person table to add a best friend column, rather I want to have an additional mapping table, e.g.:
Table Person (id name):
1 foo
2 bar
3 somebody
4 somebodyelse
Table BestFriendMapping (personId bestfriendId):
1 2
3 4
I was doing something like this:
class Person {
#OneToOne()
#Fetch(FetchMode.SELECT)
#JoinTable(name = "BestFriendMapping",
joinColumns = #JoinColumn(name = "personId", referencedColumnName = "id"),
inverseJoinColumns = #JoinColumn(name = "bestfriendId",
referencedColumnName = "id"))
private Person bestFriend;
}
The problem is, that now when I add a new Person, the mapping table is populated with two entries, for example the newly added Person is having id=10 and his bestFriend 20, then the entries are:
10 20
20 10
I would like to have just one entry, but still be able to get the best friend of a person no matter which I have in my hand currently. I found out that I probably have done two unidirectional instead of one bi-directional mapping, so I have to use mappedBy, but I am not sure what is the syntax when it is about the one and the same entity object, thus one and the same field inside the object. The examples on the internet are always showing the mapping of two entities via a mapping table.
Or maybe something like this?!? In addition to the JoinColumns and InverseJoinColumns to add mappedBy to the OnetoOne just like this #OneToOne(mappedBy="bestFriend"), kind of weird :)