Effect of nucleon correlations on natural orbitals

An, Antonov; Dn, Kadrev; Pe, Hodgson

doi:10.1103/physrevc.50.164

Cited by 64 publications

(60 citation statements)

References 36 publications

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“…In the cases of 4 He and 16 O ( Figs.2a and 2b) the use of MHO s.p. wave functions corresponding to the potential (22) leads to an improvement of the behaviour of n(k) at higher momenta which is due to the existence of the repulsive term in the potential.…”

Section: Numerical Calculations Results and Discussionmentioning

confidence: 99%

“…One can expect that this term simulates to some extent the effects of strong repulsion in the nucleon-nucleon interaction at small distances. The single-particle potential (22) had been suggested and used [23,24,25] for the study of charge formfactors and nucleon momentum distributions of light nuclei. One of the main advantages of this potential is that analytical expressions are derived for the single-particle wave functions and for other useful quantities 6 (see e.g., [25]).…”

Section: Body Density Matrixmentioning

confidence: 99%

“…One of the main advantages of this potential is that analytical expressions are derived for the single-particle wave functions and for other useful quantities 6 (see e.g., [25]). Though the MHO potential (22) leads to an infinite repulsion at the origin (r = 0), the corresponding single-particle wave functions which are used in the present work are correct for all values of r.…”

Section: Body Density Matrixmentioning

confidence: 99%

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Consistent construction of realistic one-body density matrix in nuclei

et al. 1996

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A phenomenological method based on the natural orbital representation is applied to construct the ground state one-body density matrix which describes correctly both density and momentum distributions in 4 He, 16 O and 40 Ca nuclei. The parameters of the matrix are fixed by a best fit to the experimental density distribution and to the correlated nucleon momentum distribution. The method allows the natural orbitals, the occupation probabilities and the depletion of the Fermi sea to be obtained. Ground-state characteristics of 4 He, 16 O and 40 Ca nuclei, such as rms radii and mean kinetic energies are calculated, as well.

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Section: Numerical Calculations Results and Discussionmentioning

confidence: 99%

Section: Body Density Matrixmentioning

confidence: 99%

Section: Body Density Matrixmentioning

confidence: 99%

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Consistent construction of realistic one-body density matrix in nuclei

et al. 1996

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“…The NO related to the ground state and the single-particle potentials corresponding to them have been studied in detail in Ref. 17. In Refs.…”

Section: Introductionmentioning

confidence: 99%

GENERATOR COORDINATE METHOD CALCULATIONS FOR GROUND AND FIRST EXCITED COLLECTIVE STATES IN ⁴He, ¹⁶O AND ⁴⁰Ca NUCLEI

Ivanov

Antonov

Gaidarov

2000

Int. J. Mod. Phys. E

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The main characteristics of the ground and, in particular, the first excited monopole state in the 4 He, 16 O and 40 Ca nuclei are studied within the generator coordinate method using Skyrme-type effective forces and three construction potentials, namely the harmonic-oscillator, the square-well and Woods-Saxon potentials. Calculations of density distributions, radii, nucleon momentum distributions, natural orbitals, occupation numbers and depletions of the Fermi sea, as well as of pair density and momentum distributions are carried out. A comparison of these quantities for both ground and first excited monopole states with the available empirical data and with the results of other theoretical methods are given and discussed in detail.

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“…The main characteristic feature of the nucleon momentum distribution obtained by various correlation methods [1,2,[4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] is the existence of high-momentum components, for momenta k > 2 fm −1 , due to the presence of short-range and tensor nucleon correlations. This feature of n(k) has been confirmed by the experimental data on inclusive and exclusive electron scattering on nuclei (e.g.…”

mentioning

confidence: 99%