This web page presents singlenucleon momentum distributions calculated for a variety of nuclei in the range A=212 as discussed in Wiringa, Schiavilla, Pieper, and Carlson: Phys. Rev. C 89, 024305 (2014) (or arXiv:1309.3794). Corresponding twonucleon momentum distributions can be found here. These are from variational Monte Carlo calculations (VMC) using the Argonne v18 twonucleon and Urbana X threenucleon potentials (AV18+UX). (Urbana X is intermediate between the Urbana IX and Illinois7 models; it has the form of UIX supplemented with a twopion Swave piece, while the strengths of its terms are taken from the IL7 model. It does NOT have the threepionring 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);
Datar, et al., Phys. Rev. Lett. 111, 062502 (2013).
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.
The results are generated as distributions for neutron spindown, neutron
spinup, proton spindown, and proton spinup, for the M=J state.
The singlenucleon densities corresponding to
these wave functions are given elsewhere on this site.
The momentum calculations are based on the method discussed in:
Schiavilla et al., Nucl. Phys. A449, 219 (1986);
with algorithmic improvements given in:
Schiavilla et al., Phys. Rev. Lett. 98, 132501 (2007).
where στ denotes spin and isospin degrees of freedom and N_{στ} is the total number (out of A) nucleons with the given spinisospin projection. Where proton and neutron momentum distributions are the same, as in T=0 nuclei, we give only one set, and similarly, if spinup and spindown projections are the same, as in 0+ states, we give totals only.
^{2}H(1+) Figure Table 

^{3}H(1/2+) Figure 1 Figure 2 Figure 3 Table Table (dn) 
^{3}He(1/2+) Figure 1 Figure 2 Figure 3 Table Table (dp) 

^{4}He(0+) Figure 1 Figure 2 Table Table (tp+dd) 

^{6}He(0+) Figure 1 Figure 2 Table 
^{6}Li(1+) Figure 1 Figure 2 Figure 3 Table Table (αd) 
^{6}Li(3+) Figure 1 Figure 2 Figure 3 Table Table (αd) 

^{7}Li(3/2) Figure 1 Figure 2 Figure 3 Table Table (αt) 
^{7}Li(1/2) Figure 1 Figure 2 Figure 3 Table Table (αt) 
^{7}Li(7/2) Figure 1 Figure 2 Figure 3 Table Table (αt) 
^{7}Li(5/2) Figure 1 Figure 2 Figure 3 Table Table (αt) 

^{8}He(0+) Figure 1 Figure 2 Table 
^{8}Li(2+) Figure 1 Figure 2 Table 
^{8}Be(0+) Figure 1 Figure 2 Table Table (αα) 
^{8}Be(2+) Figure 1 Figure 2 Table Table (αα) 
^{8}Be(4+) Figure 1 Figure 2 Table Table (αα) 

^{9}Li(3/2) Figure 1 Figure 2 Table 
^{9}Be(3/2) Figure 1 Figure 2 Table 

^{10}Be(0+) Figure 1 Figure 2 Table 
^{10}B(3+) Figure 1 Figure 2 Table 

^{11}B(3/2) PRELIMINARY Figure Table 

^{12}C(0+) PRELIMINARY Figure Table 
Robert B. Wiringa
Last update Mon Feb 10, 2014