THEORY OF BINARY BOSON SOLUTIONS. Page: 6 of 30
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p = N4/(, and 0; and we operate in the limit N -x G, N4 - a, and Cl - e
such that P3 = constant, P4 - constant, and p ; p3 + p4 - constant. We
seek an approximate ground state eigenfunction of the Hamiltonian in Eq.
The ground state properties of pure liquid He4 are known to be
described fairly accurately by the Jastrocw rwavefunction6,7
(1,2,.,N) - H a (3)
This suggests that a generalized form of the Jastrow wavefunction might
be appropriate for the ground state of a binary boson solution. We thus
choose as a trial wavefunction
N4 (4,4) N4 N }t(4,3)rik) N u(3,3) .
- A e IT R s i1 e
i<j-1 i=1 k=1-fl kg=N +1
u(4'4) (r) u(4,3)(r) and u (3(3)r) are functions describing the correla-
tions between (4,4), (4,3) and (3,3) particle-pairs, respectively. These
"correlating functions" satisfy the usual boundary conditions
lim v r) - - m
im u( (r) 0 (5)
afo - 4,3 .
In terms of the wavefunction er, three types of pair distribution
functions can be defined as follows!
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Massey, W.E. & Tan, H. THEORY OF BINARY BOSON SOLUTIONS., report, October 31, 1970; United States. (https://digital.library.unt.edu/ark:/67531/metadc1032575/m1/6/: accessed April 19, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.