This web page presents two-nucleon momentum distributions calculated for various light nuclei in the range A=3-12 as discussed in Wiringa, Schiavilla, Pieper, and Carlson: Phys. Rev. C 89, 024305 (2014) (or arXiv:1309.3794). Corresponding single-nucleon momentum distributions 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 the results are distributions for relative pair momenta
q = (k_{1}-k_{2})/2 projected into total pair spin
S=0 or 1 and isospin T=0 or 1.
Other results are generated as a function of both q and total pair momentum
Q = (k_{1}+k_{2}) projected into pp, np, and nn pairs.
The two-nucleon densities corresponding to these wave
functions are given here.

where N_{ST} is the total number of pairs with total spin S=0 or 1
and T=0 or 1.

^{3}He(1/2+)Figure Table |
||||

^{4}He(0+)Figure Table Table (v18) |
||||

^{6}Li(1+)Figure Table |
||||

^{7}Li(3/2-)Figure Table |
||||

^{8}Be(0+)Figure Table |
||||

^{9}Be(3/2-)Figure Table |
||||

^{10}B(3+)Figure Table |
||||

^{12}C(0+)PRELIMINARY Figure Table |

^{4}He(0+)Figure Table Table (v18) |
||||

^{6}He(0+)Figure Table |
^{6}Li(1+)Figure Table |
|||

^{7}Li(3/2-)Figure Table |
||||

^{8}He(0+)Figure Table |
^{8}Li(2+)Figure Table |
^{8}Be(0+)Figure Table |
||

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

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

^{12}C(0+)PRELIMINARY Figure Table |

^{3}He(1/2+)Figure Table ^{4}He(0+)Figure Table Table (v18) |
||||

^{6}He(0+)Figure Table |
^{6}Li(1+)Figure Table |
|||

^{8}He(0+)Figure Table |
^{8}Be(0+)Figure Table |
|||

^{12}C(0+)PRELIMINARY Figure Table |

and the integrals up to 5 fm^{-1} in q are given at the top of the file.
The total normalization is:

where N_{pN} is the total number of pN pairs in the nucleus.

Q = 0.00 fm^{-1} Figure Table |
Q = 0.25 fm^{-1} Figure Table |
Q = 0.50 fm^{-1} Figure Table |
Q = 0.75 fm^{-1} Figure Table |
Q = 1.00 fm^{-1} Figure Table |
Q = 1.25 fm^{-1} Figure Table |

Q = 0.00 fm^{-1} Figure Table Table (v18) |
Q = 0.25 fm^{-1} Figure Table |
Q = 0.50 fm^{-1} Figure Table Table (v18) |
Q = 0.75 fm^{-1} Figure Table |
Q = 1.00 fm^{-1} Figure Table |
Q = 1.25 fm^{-1} Figure Table |
Q = 1.50 fm^{-1} Figure Table |
Q = 1.75 fm^{-1} Figure Table |
Q = 2.00 fm^{-1} Figure Table |

Q = 0.05 fm^{-1} Figure Table |
Q = 0.30 fm^{-1} Figure Table |
Q = 0.55 fm^{-1} Figure Table |
||||||

Q = 0.10 fm^{-1} Figure Table |
Q = 0.35 fm^{-1} Figure Table |
Q = 0.60 fm^{-1} Figure Table |
||||||

Q = 0.15 fm^{-1} Figure Table |
Q = 0.40 fm^{-1} Figure Table |
Q = 0.65 fm^{-1} Figure Table |
||||||

Q = 0.20 fm^{-1} Figure Table |
Q = 0.45 fm^{-1} Figure Table |
Q = 0.70 fm^{-1} Figure Table |

Q = 0.00 fm^{-1} Figure Table |

Q = 0.00 fm^{-1} Figure Table |

Q = 0.00 fm^{-1} Figure Table |

Q = 0.00 fm^{-1} Figure Table |

PRELIMINARY

Q = 0.00 fm^{-1} Figure Table |

*Robert B. Wiringa
Last update Sat Nov 8, 2014
*