“…As anticipated in Sect. 2 the main peak of the function w,(x) remains at the same position while that of %(x) is shifted to greater values of x in accordance with (11).…”
Section: Numerical Analysis Of Weighting Functionssupporting
confidence: 72%
“…5. Weighting functions w, (solid line) and wp (dashed line) for 4~ calculated by the single-particle potential method of Malaguti et al [10,11] at least for 1.5<x<2.5 fm, are closer to one another in the correlated case that in the single-particle model. This explains why the CFM contains some high-momentum components which are however weaker than those, induced by the Jastrow-type SRC, as shown in Fig.…”
Section: Numerical Analysis Of Weighting Functionsmentioning
confidence: 90%
“…kF being the Fermi momentum, while wo(x ) peaks at the value R A =(A/4)l/3ro (11) which is close to the nucleus radius.…”
Section: Integral Representation In Terms Of Uniform Distributionsmentioning
confidence: 94%
“…In Sect. 3 this method is applied to the harmonic oscillator model of 4He and 160, with and without Jastrow correlations, and to the 4~ nucleus in the single-particle potential model [10,11]. Some comparisons are made with the CFM.…”
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~
“…As anticipated in Sect. 2 the main peak of the function w,(x) remains at the same position while that of %(x) is shifted to greater values of x in accordance with (11).…”
Section: Numerical Analysis Of Weighting Functionssupporting
confidence: 72%
“…5. Weighting functions w, (solid line) and wp (dashed line) for 4~ calculated by the single-particle potential method of Malaguti et al [10,11] at least for 1.5<x<2.5 fm, are closer to one another in the correlated case that in the single-particle model. This explains why the CFM contains some high-momentum components which are however weaker than those, induced by the Jastrow-type SRC, as shown in Fig.…”
Section: Numerical Analysis Of Weighting Functionsmentioning
confidence: 90%
“…kF being the Fermi momentum, while wo(x ) peaks at the value R A =(A/4)l/3ro (11) which is close to the nucleus radius.…”
Section: Integral Representation In Terms Of Uniform Distributionsmentioning
confidence: 94%
“…In Sect. 3 this method is applied to the harmonic oscillator model of 4He and 160, with and without Jastrow correlations, and to the 4~ nucleus in the single-particle potential model [10,11]. Some comparisons are made with the CFM.…”
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~
“…1 or the first terms in (3.2) and (3.8), respectively). For nuclei with total momentum J= 0 (the case of the closed shell nuclei) the one-body density matrix has to be diagonalized within the { ~/'m } subspace of the complete space of the natural orbitals [26]. Moreover, the restriction to nuclei with closed major shells completely determine the angular part of the natural orbitals.…”
Abstract. We present analytical and numerical results concerning one-body s-d shell nuclear characteristics within the low-order approximation to the one-body density matrix for a Jastrow groundstate wave function. The correlation effects on the nucleon momentum and density distributions as well as the occupation numbers and the depletion of the Fermi sea are discussed. It is estimated that the use of the low-order approximation leads to a violation of the A-representability condition for the one-body density matrix. The closed analytical expressions obtained for the one-body nuclear characteristics can be used in analyzing the short-range correlation effects observed in the measured experimental data.
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