Appendix
327
f
(A)
ak,a k =
1
4
c,i, j
v aci j v i ja c δ kk ,
(A.9.35)
f
(B)
ak,a k =
1
4
c,d,i
v cdki v k icd δ aa ,
(A.9.36)
f
(C)
ak,a k = −
1
2
c,i
v acki v k ia c ,
(A.9.37)
1 p-1h part, p- p amplitudes:
f ak,a b =
δ aa
b − k
( −
1
2
c,i, j
v b ci j V i j[kc] +
1
2
c,d,i
v cdki V b i[cd] )
(A.9.38)
1 p-1h part, h-h amplitudes:
f ak,k l =
δ kl
a − k
( −
1
2
c,d,i
v cdik V ia[cd] +
1
2
c,i, j
v cai j V i j[ck ] )
(A.9.39)
1 p-1h part, h- p amplitudes:
f ak,k a = v aa k k +
6
i=1
f
(2,i)
ak,k a ( a + a − k − k )
−1
(A.9.40)
where
f
(2,1)
ak,k a =
c,i
v ca k i V ai[ck] ,
(A.9.41)
f
(2,2)
ak,k a =
c,i
v acik V ia [k c] ,
(A.9.42)
f
(2,3)
ak,k a = −
c,i
v ca ik V ai[k c] ,
(A.9.43)
f
(2,4)
ak,k a = −
c,i
v ack i V ia [ck] ,
(A.9.44)
f
(2,5)
ak,k a = −
1
2
c,d
v cdk k V aa [cd] ,
(A.9.45)
f
(2,6)
ak,k a = −
1
2
i, j
v aa i j V i j[k k] .
(A.9.46)