9.2 Generalization to Many-Nucleon Projectiles
445
ˆ
J
LM L
(q, r) =
int ,L CM
A
L CM
int
ˆ
J
int
(q, r int ) ⊗ J L CM (q, R CM )
L
M L
+
int ,L CM
A
L CM
int
J int (q, r int ) ⊗ ˆ
J
L CM
(q, R CM )
L
M L
−
int ,L CM
A
L CM
int
J int (q, r int ) ⊗ J L CM (q, R CM )
L
M L
∇( ˆ
J
LM L
(q, r)) =
int ,L CM
A
L CM
int
∇ int ( ˆ
J
int
(q, r int )) ⊗ J L CM (q, R CM )
L
M L
+
int ,L CM
A
L CM
int
∇ int (J int (q, r int )) ⊗ ˆ
J
L CM
(q, R CM )
L
M L
−
int ,L CM
A
L CM
int
∇ int (J int (q, r int )) ⊗ J L CM (q, R CM )
L
M L
ˆ
J
LM L
(q, r) +
qr
2
ˆ
J LM L (q, r)
=
int ,L CM
A
L CM
int
ˆ
J
int
(q, r int ) +
qr int
2
ˆ
J int (q, r int )
⊗ J L CM (q, R CM )
L
M L
+
int ,L CM
A
L CM
int
J int (q, r int ) ⊗ ˆ
J
L CM
(q, R CM )
L
M L
−
int ,L CM
A
L CM
int
J int (q, r int ) ⊗ J L CM (q, R CM )
L
M L
+
1
2
int ,L CM
A
L CM
int
ˆ
J int (q, r int )
r int
⊗ R CM ˆ
J L CM (q, R CM )
L
M L
+
int ,L CM
A
L CM
int
ˆ
J int (q, r int ) ⊗ ˆ
J L CM (q, R CM )
L
M L
(e int · E CM ) ,
where
ˆ
J LM L (q, r) = ˆ
j L (qr) Y LM L (Ω r )
ˆ
J
LM L
(q, r) = ˆ
j
L (qr) Y LM L (Ω r )
e int = r int /r int
E CM = R CM /R CM .