These figures show the dimensions of M-scheme shell model calculations in various valence spaces. Dimensions were computed with the BIGSTICK shell model code. Figures were generated with a Python script that writes gnuplot code. In spaces with both parities, dimenions include both.
Jump to: sd, pf, pfg, gcn, glepn
Gaps in the chart indicate magic numbers according to the conventional shell model:
The edges of the chart are given by the intersection of the model space (a rectangular region) and the drip line according to the NNDC. The squares with a thicker border are the stable isotopes.
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sd shell model (1d5/2, 2s1/2, 1d3/2)
Core: O-16 (8, 8)
pf shell model (1f7/2, 2p3/2, 1f5.2, 2p1/2)
Core: Ca-40 (20, 20)
pfg shell model (2p3/2, 1f5/2, 2p1/2, 1g9/2)
Core: Ni-56 (28, 28)
dghsd shell model (2d5/2, 1g7/2, 1h11/2, 3s1/2, 2d3/2)
Core: Sn-100 (50,50)
fp-sd shell model (2p3/2, 1f5/2, 2p1/2, 1g9/2, 2d5/2, 3s1/2, 2d3/2)
Core: Ni-56 (28,28)