Z. Phys.A - AtomicNuclei328,393 397 (1987) Zeitschrift f(ir Physik A Atomic Nuclei 9 Springer-Verlag1987 A Study of Short-Range Correlation Effects on Nuclear Spatial and Momentum Distribution A. Matecki* INFN-Laboratori Nazionali di Frascati, Frascati, Italy A.N. Antonov and I.Zh. Petkov Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria P.E. Hodgson Nuclear Physics Laboratory, University of Oxford, United Kingdom Received October 27, 1986; revised version July 22, 1987 The relation between the nuclear spatial and momentum densities is studied by means of their integral representations in terms of uniform distributions. Examples of this approach are given for the harmonic oscillator model of 4He and 160, with and without Jastrow correlations, and for the single-particle potential model of 4~ PACS: 21.60 1. Introduction The complete many-body nuclear wave function ~t(rl, ... rA) determines both the nuclear density p(r) and the nuclear momentum distribution n(k). Since a single-particle wave function can be expressed either in the spatial or the momentum representation, these being Fourier transforms of each other, there is a correspondingly close relation between p(r) and n(k). This is not however always true for particular nuclear models which use approximate solutions of the many- body problem, e.g. it has been shown quite generally [1] that no Hartree-Fock calculations can reproduce simultaneously both the density and the momentum distributions. The physical reason for this is that the nucleon-nucleon interaction has short-range features that affect the wave functions at short distances and introduce short-range correlations (SRC) in the mo- tions of the nucleons and also raise nucleons above the Fermi sea. These short-range correlations result in high-momentum components in the momentum * Permanentaddress:InstytutFizyki Jadrowej, PL-31-342Krakow, Poland distribution and these cannot be given by a model that includes only the long-range properties of the nucleon-nucleon interaction. It is thus possible for a model to give excellent density distributions and yet fail to give the high-momentum components of the momentum distribution. Since these are impor- tant for many interactions it is necessary to develop a simple and reliable method of calculating nuclear momentum distributions. Several methods have been developed [2-6] to include the effects of SRC in nuclear density and mo- mentum distributions. These give more accurate ground state wave functions, particularly at smaller distances, and are thus able to reproduce simulta- neously both p(r) and n(k). However these calcula- tions become prohibitively complicated for all but the lightest nuclei. Recently the coherent fluctuation model (CFM) has been developed [7-9] and this gives a relation between p(r) and n(k) that enables n(k) to be easily calculated for all nuclei. It has already been shown that n(k) obtained from the CFM has the desired high-momentum tail and agrees with some experi-