Calculating reactions with use of no-core shell-model states

A scheme to compute reactions is described that uses the Slater determinants constructed of oscillator orbitals. Simple linear equations are suggested for this purpose and shown to be efficient in model examples. A universal method to evaluate the required matrix elements is given.

Figure 1

Comparison of the exact phase shift (full line) with those calculated with use of the oscillator basis. Pluses, circles, dotted line, stars, and triangles correspond to Eq. (22) with $N=7$ and with $R_{\mathrm{cut}}=2.5$ f, 3 f, 4 f, 5 f, and 6 f respectively.

Figure 2

Comparison of the exact response function (full line) with those calculated with use of the oscillator basis. Notation is as in Fig. 1.