Elastic and dynamic form factors of an atomic nucleus in the shell model with correction for the center-of-mass motion

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Analytical expressions for the elastic and dynamic form factors (FFs) are derived in the shell model (SM) with a potential well of finite depth. The consideration takes into account the motion of the target-nucleus center of mass (CM). Explanation is suggested for a simultaneous shrinking of the density and momentum distributions of nucleons in nuclei. The convenient working formulae are given to handle the expectation values of relevant multiplicative operators in case of the 1s-1p shell nuclei.
15 pages, 2 figures. An extended version of the paper published in Ukrainian Journal of Physics 22 (1977) 1646

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