78
A. Mercenne et al.
Fig. 3 Convergence of the
exchange part of the norm
( = 0) with the allowed
number of shells n max for the
projectile using SA-RGM.
Calculations are described in
the caption of Fig. 2
0.001
0.001
0.001
0.001
0.002
0.00
0.001
0.002
0.005
0.00
0.00
0.005
0.01
0.01
0.01
0.01
0.02
0.00
0.05
0.1
0.11
0.12
0.13
0.14
0.15
0.16
0.18
0.19
0.22
–4
–2
0
2
4
–4
–2
0
2
4
r xy
(fm)
z (fm)
Fig. 4 Left panel: Direct part of the Hamiltonian kernel ( = 0) using the same wave function
as in Fig. 2. Right panel: Corresponding one-body density profile of 20 Ne from the SA-NCSM
calculation
region and the role of non-locality are needed, especially in relation to obtaining
first-principle optical potentials.
To summarize, the use of a physically relevant basis in the SA-RGM provides
a pathway to ab initio descriptions of nuclear reactions in the intermediate-mass
region. The use of this basis allows several numerical procedures inherent to RGM
to be simplified. The present outcome shows the applicability of the method,
including benchmark calculations, convergence properties, and a discussion of nonlocal inter-cluster effective interactions.
We acknowledge useful discussions with P. Navrátil and S. Quaglioni. This work
was supported by the U.S. National Science Foundation (OIA-1738287, ACI -
1713690), the Czech Science Foundation (16-16772S), and under the auspices of
the U.S. Department of Energy by Lawrence Livermore National Laboratory under