Green's function Monte Carlo results for one-nucleon overlaps

We have computed one-nucleon spectroscopic overlaps in light nuclei by using the Green's function Monte Carlo wave functions. The realistic Argonne v18 two-nucleon and Illinois-7 three-nucleon interactions were used to generate the nuclear states. The overlap functions are used to obtain spectroscopic factors and asymptotic normalization coefficients, and they can serve as an input for a variety of reaction calculations.

The A=6,7 results given here are for "Type I" wave functions. For more details, see I. Brida, S. C. Pieper, and R. B. Wiringa, "Quantum Monte Carlo calculations of spectroscopic overlaps in A≤7 nuclei," Phys. Rev. C. 84, 024319 (2011) or (arXiv:1106.3121v1 [nucl-th]).

3H → 2H + n

3He → 2H + p

4He → 3H + p

4He → 3He + n

7He(3/2-,g.s.) → 6He(0+,g.s.) + n

7Li(3/2-,g.s.) → 6He(0+,g.s.) + p

7Li(3/2-,g.s.) → 6He(2+) + p

7Li(3/2-,g.s.) → 6Li(1+,g.s.) + n

7Li(3/2-,g.s.) → 6Li(3+) + n

7Li(3/2-,g.s.) → 6Li(0+) + n

7Li(1/2-) → 6Li(1+,g.s.) + n

7Be(3/2-,g.s.) → 6Li(1+,g.s.) + p

7Be(3/2-,g.s.) → 6Li(3+) + p

7Be(3/2-,g.s.) → 6Li(0+) + p

Here are single-nucleon densities for some of the nuclear wave functions used above:

3H(1/2+)

3He(1/2+)

4He(0+)

6He(0+,g.s.)

6Li(1+,g.s.)

7Li(3/2-,g.s.)

Ivan Brida
Last update 18 June 2014