Generator coordinate method calculations for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mprescripts /><mml:mrow /><mml:mrow><mml:mn>4</mml:mn></mml:mrow><mml:mrow /><mml:mrow /></mml:mmultiscripts></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mmultiscripts><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><

An, Antonov; Mv, Stoitsov; Lp, Marinova; Me, Grypeos; Lalazissis, G. A.; Kn, Ypsilantis

doi:10.1103/physrevc.50.1936

Cited by 10 publications

(6 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

“…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]). 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%

See 1 more Smart Citation

Consistent construction of realistic one-body density matrix in nuclei

et al. 1996

View full text Add to dashboard Cite

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.

show abstract

Section: Body Density Matrixmentioning

confidence: 99%

Section: Body Density Matrixmentioning

confidence: 99%

Consistent construction of realistic one-body density matrix in nuclei

et al. 1996

View full text Add to dashboard Cite

show abstract

“…The studies of the energies, the nucleon momentum and density distributions in 4 He and 16 O nuclei have been extended by means of a two generator coordinate scheme in Ref. 19.…”

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

Self Cite

View full text Add to dashboard Cite

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.

show abstract

“…It is known that reliable results for n(k) in sophis-ticated methods such as the exp(S)-method [5], the variational method with state dependent correlations [20], the generator coordinate method (with two generator coordinates [32]) and others are available only for light nuclei up to the 16 O nucleus. The local density approximation (LDA) which has been applied to derive the spectral function of finite nuclei and to calculate n(k) in 16 O [29] was used as a basis to calculate n(k) also in 40 Ca [30] and in nuclei with A=16, 40, 48, 90 and 208 [31].…”

mentioning

confidence: 99%