VMC Spectroscopic Overlaps

Part II: Stripping Reactions

Part I: Pickup Reactions

Older VMC Spectroscopic Overlaps

GFMC Spectroscopic Overlaps

This web page presents recent spectroscopic overlaps calculated for a variety of nuclei in the range A=3-10 with some preliminary results for A=11,12. Corresponding one-nucleon densities can be found here. These are from variational Monte Carlo calculations (VMC) using the Argonne v18 two-nucleon and Urbana X three-nucleon potentials (AV18+UX). (Urbana X is intermediate between the Urbana IX and Illinois-7 models; it has the form of UIX supplemented with a two-pion S-wave piece, while the strengths of its terms are taken from the IL7 model. It does NOT have the three-pion-ring term of IL7.)

These VMC wave functions are the starting trial functions for a number of recent Green's function Monte Carlo (GFMC) calculations:
Brida, et al., Phys. Rev. C 84, 024319 (2011);
McCutchan, et al., Phys. Rev. C 86, 024315 (2012);
Pastore, et al., Phys. Rev. C 87, 035503 (2013);
Pastore, et al., Phys. Rev. C 90, 024321 (2014).

More details of the wave function construction can be found in
Wiringa, Phys. Rev. C 43, 1585 (1991) for A=3,4;
Pudliner, et al., Phys. Rev. C 56, 1720 (1997) for A=6,7;
Wiringa, et al., Phys. Rev. C 62, 014001 (2000) for A=8;
Pieper, et al., Phys. Rev. C 70, 044310 (2002) for A=9,10.

Following are figures and tabulations of the single-nucleon r-space amplitudes A(r) (in fm^-3/2) and the integrated spectroscopic factors with the normalization:

Momentum-space amplitudes are available upon request.

In the following, states are designated by ^AZ(J^π;T) except the T is omitted for states of the lowest isospin available to that nucleus. Second excited states of the same quantum numbers are denoted by ^AZ(J^π₂;T).

2H(1+)+n-> 3H(1/2+) Figure 3H(1/2+) Table	2H(1+)+p-> 3He(1/2+) Figure 3He(1/2+) Table
	3H(1/2+)+p-> 4He(0+) Figure 4He(0+) Table	3He(1/2+)+n-> 4He(0+) Figure 4He(0+) Table
		4He(0+)+n-> 5He(3/2-) Figure 5He(3/2-) Table 5He(1/2-) Figure 5He(1/2-) Table 5He(1/2+) Figure 5He(1/2+) Table
		6He(0+)+n-> 7He(3/2-) Figure 7He(3/2-) Table 7He(1/2-) Figure 7He(1/2-) Table	6He(0+)+p-> 7Li(3/2-) Figure 7Li(3/2-) Table 7Li(1/2-) Figure 7Li(1/2-) Table	6Li(1+)+n-> 7Li(3/2-) Figure 7Li(3/2-) Table 7Li(1/2-) Figure 7Li(1/2-) Table 7Li(5/2-2) Figure 7Li(5/2-2) Table
				7Li(3/2-)+n-> 7Li+n Summary 8Li(2+) Figure 8Li(2+) Table 8Li(1+) Figure 8Li(1+) Table 8Li(3+) Figure 8Li(3+) Table 8Li(0+) Figure 8Li(0+) Table	7Li(3/2-)+p-> 7Li+p Summary 8Be(0+) Figure 8Be(0+) Table 8Be(2+) Figure 8Be(2+) Table 8Be(2+2) Figure 8Be(2+2) Table
		8He(0+)+n-> 8He+n Summary 9He(1/2+) Figure 9He(1/2+) Table 9He(1/2-) Figure 9He(1/2-) Table	8He(0+)+p-> 8He+p Summary 9Li(3/2-) Figure 9Li(3/2-) Table 9Li(1/2-) Figure 9Li(1/2-) Table	8Li(2+)+n-> 8Li+n Summary 9Li(3/2-) Figure 9Li(3/2-) Table 9Li(1/2-) Figure 9Li(1/2-) Table 9Li(5/2-) Figure 9Li(5/2-) Table	8Li(2+)+p-> 8Li+p Summary 9Be(3/2-) Figure 9Be(3/2-) Table 9Be(5/2-) Figure 9Be(5/2-) Table
					9Li(3/2-)+p-> 9Li+p Summary 10Be(0+) Figure 10Be(0+) Table 10Be(2+) Figure 10Be(2+) Table	9Be(3/2-)+n-> 9Be+n Summary 10Be(0+) Figure 10Be(0+) Table 10Be(2+) Figure 10Be(2+) Table 10Be(2+2) Figure 10Be(2+2) Table	9Be(3/2-)+p> 9Be+p Summary 10B(3+) Figure 10B(3+) Table 10B(1+) Figure 10B(1+) Table 10B(1+2)) Figure 10B(1+2)) Table

Robert B. Wiringa
Last update October 3, 2023