PROMPT J PSI PRODUCTION AT E(+)E(-) COLLIDERS

In this paper, we discuss the prompt J/psi, production at e(+)e(-) col liders via color-singlet and color-octet production mechanisms. The co lor-singlet production processes include (1) e(+)e(-)-->J/psi gg, (2) e(+)e(-) -->J/psi c (c) over bar, and (3) e(+)e(-)-->q (q) over bar gg J/psi and e(+)e(-)-->q (q) over bar g chi(c) followed by chi(c)-->J ps i gamma. The color-octet production processes include (1) e(+)e(-)-->J /psi g and (2) e(+)e(-)-->J/psi q (q) over bar. Of all these productio n channels, we find that the color-octet contributions dominate over t he color-singlet contributions at any energy scale. At low energies (r oot s<20 GeV), the dominant channel is e(+)e(-)-->J/psi g whereas at h igh energies e(+)e(-)-->J/psi q (q) over bar will take the leading par t.; We also find that the energy spectrum for the color-octet J/psi pr oduction in process e(+)e(-)-->J/psi q (q) over bar is very soft, and the mean energy of the produced J/psi is only about 10 - 20 GeV even a t very high energies (e.g., at 1000 GeV). The extraction of color-octe t matrix elements from J/psi production in e(+)e(-) collisions is also discussed.