376
8 No-Core Gamow Shell Model
0
2
4
6
8
N h ω
-8
-7
-6
-5
-4
-3
-2
-1
0
E[
3
H] (MeV)
-
0
2
4
6
8
N h ω
-28
-26
-24
-22
-20
-18
-16
-14
-12
E[
4
He] (MeV)
-
Fig. 8.2 Energy of the ground state of 3 H (left panel) and 4 He (right panel) as a function of N¯ hω.
Dotted lines with squares depict energies issued from harmonic oscillator shell model, dashed lines
with circles show results arising from no-core Gamow shell model, in which the Lawson method
has been applied, and solid lines with bullets represent energies obtained from the no-core Gamow
shell model without the center-of-mass correction
0
2
4
6
8
N h ω
0
0.5
1
1.5
H (MeV)
-
CM
Fig. 8.3 Expectation values of H CM (see Eq. (8.6)) calculated using the Lawson method in nocore Gamow shell model are plotted as a function of N ¯
hω for the ground state wave function of
3 H (dashed line with squares) and 4 He (solid line with circles). Expectation value of H CM is always
equal to zero in the harmonic oscillator no-core shell model so that it is omitted in the figure