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arXiv 0709.2312nucl-th
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重积分的渐近估计和强动量传递下的电磁氘形状因子

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

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

摘要:

对于一类特殊类型的重积分,当被积函数在积分域界有峰值而不在极值点时,证明了重积分的一个渐近估计定理。利用这一定理,在双核子模型框架下,在非相对论和相对论冲量近似下,得到了强动量转移下电磁氘形状因子的渐近展开式。结果表明,相对论效应减缓了氘核形状因子的下降,在高动量转移下,相对论渐近理论与实验数据符合较好。

英文摘要:

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. Using this theorem the asymptotic expansion of the electromagnetic deuteron form factors at high momentum transfers is obtained in the framework of two-nucleon model 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.

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