Asymptotic estimation of some multiple integrals and the electromagnetic deuteron form factors at high momentum transfer

Abstract

A theorem about asymptotic estimation of multiple integrals of a special type is proved for the case when the integrand peaks at the integration domain boundary, but not at a point of extremum. Using this theorem, the asymptotic expansion of the electromagnetic deuteron form factors at high momentum transfers is obtained in the framework of a two-nucleon model in both the nonrelativistic and relativistic impulse approximations. It is found that the relativistic effects slow down the decrease of deuteron form factors and result in agreement between the relativistic asymptotics and experimental data at high momentum transfers.