On Deuteron Spin Dependent Structure Function $g_2(x)$ in Relativistic Model of Deuteron

Abstract

The spin dependent deuteron structure functions are investigated in the relativistic model of deuteron. It is shown that the deuteron structure function $g_2(X)$ can be considered properly only in the infinite momentum frame where the virtual photon has pure transverse components ($q_0=-q_3\to 0$ at $P\to \infty$), whereas in the conventional Breit frame the impulse approximation for $g_2(X)$ may be violated due to $q\bar{q}$ pair creation by the virtual photon. It is shown that due to relativistic effects the deuteron structure function $g_2(X)$ has a nontrivial contribution determined by first derivative of the nucleon structure function $g_1(x)$. Such contribution is small but it increases when $X\to 1$. It may achieve about 10 \% at $X\sim 0.75$ and could be essentially larger for the transverse structure function $g_{\perp }(X).$

Comments: 9 pages, uuencoded postcript file with two figures