6.3 Effective Nucleon–Nucleon Interactions for Gamow Shell Model. . .
265
.
.
2
.
.
7
Li
7
Be
0
2
4
6
3/ 2
−
1/ 2
−
7/ 2
−
5/ 2
−
6 Li+n
6 Li+p
8
Li
8
B
0
1
2
2
+
1
+
3
+
7 Li+n
7 Be+p
9
Li
9
C
0
1
2
3
4
3/ 2
−
1/ 2
−
5/ 2
−
8 Li+n
8 B+p
10
Li
10
N
-2
-1
0
1
2
+
1
+
1
− / 2
−
1
−
2
−
2
+
1
+
9 Li+n
9 C+p
(a)
(b)
(c)
(d)
Energy (MeV)
Fig. 6.9 Level schemes of Li isotopes with (a) A = 7, (b) A = 8, (c) A = 9, (d) A = 10, and
their mirror partner predicted in Gamow shell model calculations. The energies are plotted with
respect to the ground state energy. The proton emission thresholds are denoted with a dashed line
(from Ref. [63])
experiment [83], the presence of an appreciable low-energy = 0 strength has not
been confirmed. This conclusion was, however, challenged in theoretical studies
[84, 85]. Gamow shell model calculations (see Fig. 6.9) predict the ground state of
10 Li to be a 2 + state, about 0.35 MeV above the neutron emission threshold, in
accordance with Ref. [86]. The lowest negative-parity state 1 − is predicted to lie
∼1.0 MeV higher, in agreement with Ref. [83].
The unbound 11 O is the mirror partner of the two-neutron halo nucleus 11 Li. The
first observation of 11 O was achieved recently [70]. A broad peak with a width of
∼3.4 MeV was observed. Gamow shell model calculations predict a 3/2
−
1 ground
state with a width of 0.13 MeV and the first excited 5/2
+
1 state with Γ ≈ 1 MeV,
see Fig. 6.8. These predictions are consistent with the Gamow coupled-channel
calculations of Ref. [74].
265
.
.
2
.
.
7
Li
7
Be
0
2
4
6
3/ 2
−
1/ 2
−
7/ 2
−
5/ 2
−
6 Li+n
6 Li+p
8
Li
8
B
0
1
2
2
+
1
+
3
+
7 Li+n
7 Be+p
9
Li
9
C
0
1
2
3
4
3/ 2
−
1/ 2
−
5/ 2
−
8 Li+n
8 B+p
10
Li
10
N
-2
-1
0
1
2
+
1
+
1
− / 2
−
1
−
2
−
2
+
1
+
9 Li+n
9 C+p
(a)
(b)
(c)
(d)
Energy (MeV)
Fig. 6.9 Level schemes of Li isotopes with (a) A = 7, (b) A = 8, (c) A = 9, (d) A = 10, and
their mirror partner predicted in Gamow shell model calculations. The energies are plotted with
respect to the ground state energy. The proton emission thresholds are denoted with a dashed line
(from Ref. [63])
experiment [83], the presence of an appreciable low-energy = 0 strength has not
been confirmed. This conclusion was, however, challenged in theoretical studies
[84, 85]. Gamow shell model calculations (see Fig. 6.9) predict the ground state of
10 Li to be a 2 + state, about 0.35 MeV above the neutron emission threshold, in
accordance with Ref. [86]. The lowest negative-parity state 1 − is predicted to lie
∼1.0 MeV higher, in agreement with Ref. [83].
The unbound 11 O is the mirror partner of the two-neutron halo nucleus 11 Li. The
first observation of 11 O was achieved recently [70]. A broad peak with a width of
∼3.4 MeV was observed. Gamow shell model calculations predict a 3/2
−
1 ground
state with a width of 0.13 MeV and the first excited 5/2
+
1 state with Γ ≈ 1 MeV,
see Fig. 6.8. These predictions are consistent with the Gamow coupled-channel
calculations of Ref. [74].