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);
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.
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 here
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. The kinetic energy from these distributions is also given.
 NEW! 
We now include (in many cases) the number of nucleons with momenta
k ≥ 2 fm^{1} and their contribution to the kinetic energy.
This is the momentum where there is a significant change of
slope and is an approximate definition of the Fermi surface in these
finite nuclei.
 NEW! 
^{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 (v18) 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 Tue Sep 30, 2014