Dependence of two-nucleon momentum densities on total pair momentum

Journal Article · Fri Aug 15 04:00:00 EDT 2008 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.78.021001· OSTI ID:21192084

Wiringa, R B; Pieper, Steven C ^[1]; Schiavilla, R ^[2]; Carlson, J ^[3]

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1. Physics Division, Argonne National Laboratory, Argonne, Illinois 60439 (United States)
2. Theory Center, Jefferson Laboratory, Newport News, Virginia 23606 (United States)
3. Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

Two-nucleon momentum distributions are calculated for the ground states of {sup 3}He and {sup 4}He as a function of the nucleons' relative and total momenta. We use variational Monte Carlo wave functions derived from a realistic Hamiltonian with two- and three-nucleon potentials. The momentum distribution of pp pairs is found to be much smaller than that of pn pairs for values of the relative momentum in the range 300-500 MeV/c and vanishing total momentum. However, as the total momentum increases to 400 MeV/c, the ratio of pp to pn pairs in this relative momentum range grows and approaches the limit 1/2 for {sup 3}He and 1/4 for {sup 4}He, corresponding to the ratio of pp to pn pairs in these nuclei. This behavior should be easily observable in two-nucleon knock-out processes, such as A(e,e{sup '}pN)

• OSTI ID: 21192084
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 2 Vol. 78; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
DENSITY
DISTRIBUTION
GROUND STATES
HAMILTONIANS
HELIUM 3
HELIUM 4
MEV RANGE
MONTE CARLO METHOD
NUCLEONS
PROTON-NEUTRON INTERACTIONS
PROTON-PROTON INTERACTIONS
VARIATIONAL METHODS
WAVE FUNCTIONS