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

A. F. Krutov; V. E. Troitsky; N. A. Tsirova

doi:10.1117/12.801755

17 April 2008 Mathematical analysis of the asymptotic behavior of the electromagnetic deuteron form factors at high momentum transfer

A. F. Krutov, V. E. Troitsky, N. A. Tsirova

Author Affiliations +

Proceedings Volume 7024, International Workshop on Quantum Optics 2007; 702410 (2008) https://doi.org/10.1117/12.801755
Event: International Workshop on Quantum Optics 2003, 2003, St. Petersburg, Russian Federation

Abstract

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 quark degrees of freedom is investigated.

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A. F. Krutov, V. E. Troitsky, and N. A. Tsirova "Mathematical analysis of the asymptotic behavior of the electromagnetic deuteron form factors at high momentum transfer", Proc. SPIE 7024, International Workshop on Quantum Optics 2007, 702410 (17 April 2008); https://doi.org/10.1117/12.801755

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