P gQ )r ) , N (N ) d11 dr(1 (r))N1, (6)
where dr(L ) denotes drldr 2-drN with dr and dr omitted. Again
a and p can be 4 or 3, and 1 = F 12 dr1dr2..'d g
the probability (relative to a random distribution) that, given a particle
of type a at the origin, a particle of type f will be found at a distance
r1 i away.
We shall also need the three-particle distribution functions
defined by
Pa g (c (if j, ik ) = N (N -l>(YI -2) ) I ,
Pa2 (mcr'O(i j k ) -- N(N -O)N riti2 drk )
It is implied in the definitions, Eqs. (6)-(7) that these dis-
tribution functions are unaffected by a permutation of their superscripts
and arguments.
The pair distribution functions must have the usual physical
(i) g (r) is a purely radial function;
(ii) limE(a."o)() - 1] = 0;
(iii) g (r) satisfies the normalization condition
sx g1 COr -lj (8)
The importance of taking into account the difference in corre-
lations between (4,4), (4,3) and (3,3) pairs is clear. Because of the
lighter mass, a mass-3 particle has a larger zero-point energy and there-
fore occupies a larger specific volume than a mass-4 particle. A measure

Upcoming Pages

Here’s what’s next.

upcoming item: 8 8 of 30
upcoming item: 9 9 of 30
upcoming item: 10 10 of 30
upcoming item: 11 11 of 30

Show all pages in this report.

This report can be searched. Note: Results may vary based on the legibility of text within the document.

Tools / Downloads

Get a copy of this page .

Citing and Sharing

Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.

Reference the current page of this Report.

Massey, W.E. & Tan, H. THEORY OF BINARY BOSON SOLUTIONS., report, October 31, 1970; United States. ( accessed May 19, 2019), University of North Texas Libraries, Digital Library,; crediting UNT Libraries Government Documents Department.

International Image Interoperability Framework (This Page)