300
6 Physical Applications of the Gamow Shell Model
Im E (MeV)
−0.15
−0.1
−0.05
0
−1.5
−1
−0.5
0
0.5
1
}
}
0
+
l Max = 5
Re E (MeV)
l Max = 1
2
+
l Max = 5
l Max = 1
−1
−0.8
−0.6
−0.4
−0.2
0
1
1.5
2
2.5
3
}
}
Im E (MeV)
0
+
Re E (MeV)
2
+
l Max = 5
l Max = 1
l Max = 5
l Max = 1
Fig. 6.21 Poles of the ground 0
+
1 and the first excited 2
+
1 states of 6 He (upper panel) and 6 Be
(lower panel), which are calculated using the Hamiltonian complex scaling approach and the
Gamow shell model for 1 ≤ max ≤ 5. Open and solid circles denote Hamiltonian complex scaling
and Gamow shell model results, respectively (from Ref. [152])
An illustration of this dependence can be seen in Fig. 6.22 for the 2 + resonance
eigenstate of 6 He nucleus [152]. One can identify the θ opt value (see Sect. 6.6.2.2)
in Fig. 6.22, where the complex eigenenergy of the 2 + resonance has the smallest
variations with respect to an angle θ . As seen in Fig. 6.22, the eigenenergies
provided by Gamow shell model and Hamiltonian complex scaling diagonalizations
are almost the same when Hamiltonian complex scaling is applied with θ = θ opt ,