The branched polyamine has from about 8 to about 12 backbone tertiary amine groups, from about 18 to about 24 backbone secondary amine groups, more than zero positive n ′ backbone terminated primary amine groups, and A positive number q greater than 0 skeleton-terminated carbamate groups of formula (2)； where (n ′ + q) is a number equal to about 8 to about 12, The attached bond is linked to the backbone nitrogen of the branched polyamine, L ′ is a divalent linking group containing 3 to 30 carbons, and q / (n ′ + q) -100% is approximately Equivalent to 9% to about 40%.分岐ポリアミンは、約8～約12個の骨格第3級アミン基、約18～約24個の骨格第2級アミン基、0を超える正数n'個の骨格終結第1級アミン基、および0を超える正数q個の式(2)の骨格終結カルバメート基を含み；ここで、(n'+q)は、約8～約12に等しい数であり、式(2)の星印の付いた結合は、分岐ポリアミンの骨格窒素へ連結されており、L'は、3～30個の炭素を含む二価連結基であり、かつq/(n'+q)×100%は、約9%～約40%に等しい。
