Mathematical analysis of the asymptotic behavior of the electromagnetic deuteron form factors at high momentum transfer

A theorem about asymptotic estimation of multiple integral of a special type is proved for the case when the integrand peaks at the integration domain bound, but not at a point of extremum. As an example of application of this theorem the asymptotic expansion of the electromagnetic deuteron form factors at high momentum transfers is obtained in both nonrelativistic and relativistic impulse approximations. It is found that 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. The presence of quack degrees of freedom is investigated.