We simulated encounters involving binaries of two eccentricities: e =
0 (i.e., circular binaries) and e = 0.5. In both cases the binary cont
ained a point mass of 1.4 M. (i.e., a neutron star) and an 0.8 M. main
-sequence star modeled as a polytrope. The semimajor axes of both bina
ries were set to 60 R. (0.28 AU). We considered intruders of three mas
ses: 1.4 M. (a neutron star), 0.8 M. (a main-sequence star or a higher
mass white dwarf), and 0.64 M. (a more typical mass white dwarf). Our
strategy was to perform a large number (40,000) of encounters using a
three-body code, then to rerun a small number of cases with a three-d
imensional smoothed particle hydrodynamics (SPH) code to determine the
importance of hydrodynamical effects. Using the results of the three-
body runs, we computed the exchange cross sections, sigma(ex). From th
e results of the SPH runs, we computed the cross sections for clean ex
change, denoted by sigma(cx); the formation of a triple system, denote
d by sigma(trp); and the formation of a merged binary with an object f
ormed from the merger of two of the stars left in orbit around the thi
rd star, denoted by sigma(mb). For encounters between either binary an
d a 1.4 M. neutron star, sigma(cx) approximately 0.7sigma(ex) and sigm
a(mb) + sigma(trp) approximately 0.3sigma(ex). For encounters between
either binary and the 0.8 M. main-sequence star, sigma(cx) approximate
ly 0.50ex and sigma(mb) + sigma(trp) approximately 1.0sigma(ex). If th
e main sequence star is replaced by a white dwarf intruder of the same
mass, we have sigma(cx) approximately 0.6sigma(ex) and sigma(mb) + si
gma(trp) approximately 0.8sigma(ex). For encounters between either bin
ary and the 0.64 M. white dwarf, sigma(cx) approximately 0.6sigma(ex)
and sigma(mb) + sigma(trp) approximately 1.3sigma(ex). If the white dw
arf is replaced by a main-sequence star of the same mass, we have sigm
a(cx) approximately 0.5sigma(ex) and sigma(mb) + sigma(trp) approximat
ely 1.6sigma(ex). Although the exchange cross section is a sensitive f
unction of intruder mass, we see that the cross section to produce mer
ged binaries is roughly independent of intruder mass. The merged binar
ies produced have semi-major axes much larger than either those of the
original binaries or those of binaries produced in clean exchanges. C
oupled with their lower kick velocities, received from the encounters,
their larger size will enhance their cross section, shortening the wa
iting time to a subseqent encounter with another single star.