This web page presents weak transition densities calculated for a variety of nuclei in the range A=3-11. Corresponding single-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.
Some of these results can be found in
Pastore, et al., Phys. Rev. C 97, 022501(R) (2018)
King, et al., Phys. Rev. C 102, 025501 (2020)
Following are figures that show the Gamow-Teller and Fermi transition densities, weighted with r2. Also given are the total integrated matrix element and the rms value for the transition density.
| 3H(1/2+;1/2) -> 3He(1/2+;1/2) | Figure |
| 6He(0+;1) -> 6Li(1+;0) | Figure |
| 7Be(3/2-;1/2) -> 7Li(3/2-;1/2) | Figure |
| 7Be(3/2-;1/2) -> 7Li(1/2-;1/2) | Figure |
| 8He(0+;2) -> 8Li(1+;1) | Figure |
| 8He(0+;2) -> 8Li(1+2;1) | Figure |
| 8He(0+;2) -> 8Li(1+3;1) | Figure |
| 8He(0+;2) -> 8Li(1+4;1) | Figure |
| 8Li(2+;1) -> 8Be(2+;0) | Figure |
| 8B(2+;1) -> 8Be(2+;0) | Figure |
| 9Li(3/2-;3/2) -> 9Be(3/2-;1/2) | Figure |
| 9Li(3/2-;3/2) -> 9Be(5/2-;1/2) | Figure |
| 9Li(3/2-;3/2) -> 9Be(1/2-;1/2) | Figure |
| 10C(0+;1) -> 10B(1+;0) | Figure |
| 11C((3/2-;1/2) -> 11B((3/2-;1/2) | Figure !Updated May 2023! |
Robert B. Wiringa
Last update May 21, 2023