Wave function factorization of shell-model ground states

We developed an m-scheme approach of the cluster-orbital shell model formalism. The radial wave function is treated as the super position of the Gaussian functions with different width parameters. Energies and r.m.s. radii of oxygen isotopes are studied.

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A perturbation calculation of properties of the helium iso-electronic sequence

Proceedings of the Royal Society of London Series A - Mathematical and Physical Sciences ◽

10.1098/rspa.1958.0182 ◽

1958 ◽

Vol 247 (1249) ◽

pp. 245-259 ◽

Cited By ~ 187

Keyword(s):

Wave Function ◽

Perturbation Theory ◽

Power Series ◽

Perturbation Methods ◽

Ground States ◽

Radiative Corrections ◽

Perturbation Calculation ◽

Magnetic Susceptibilities ◽

Dipole Polarizabilities

Perturbation methods are employed to calculate the magnetic susceptibilities and the dipole polarizabilities of the ground states of the members of the helium iso-electronic sequences and also the mass polarization, relativistic and radiative corrections to their energies, the results being obtained as power series in the inverse of the nuclear charges. The calculations are prefaced by a brief résumé of the equations of perturbation theory applicable to the case when the unperturbed wave function is known only approximately.

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Universal Wave-Function Overlap and Universal Topological Data from Generic Gapped Ground States

Physical Review Letters ◽

10.1103/physrevlett.115.036802 ◽

2015 ◽

Vol 115 (3) ◽

Cited By ~ 26

Author(s):

Heidar Moradi ◽

Xiao-Gang Wen

Keyword(s):

Wave Function ◽

Ground States ◽

Topological Data

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TWO-HOLE TWO-PARTICLE LEVELS IN Pb208

Canadian Journal of Physics ◽

10.1139/p63-050 ◽

1963 ◽

Vol 41 (3) ◽

pp. 478-483 ◽

Cited By ~ 3

Author(s):

William T. Pinkston ◽

William W. True

Keyword(s):

Wave Function ◽

Shell Model ◽

Ground State ◽

Energy Levels ◽

Closed Shell ◽

Ground State Wave Function ◽

Energy Matrix ◽

State Wave

The energy levels of Pb208 arising from certain two-hole two-particle shell-model configurations have been predicted theoretically. It is concluded that only a few such levels are expected in Pb208 and all of them have energies greater than or about equal to 6 Mev. The closed-shell core was included in the J = 0+ energy matrix in order to get an estimate of the two-body correlations in the ground state. Only a few per cent of higher configurations is predicted for the ground-state wave function.

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ROLE OF THE TENSOR CORRELATIONS IN 4HE and 5HE

Modern Physics Letters A ◽

10.1142/s0217732306022146 ◽

2006 ◽

Vol 21 (31n33) ◽

pp. 2483-2490 ◽

Cited By ~ 4

Author(s):

KIYOMI IKEDA ◽

TAKAYUKI MYO ◽

SATORU SUGIMOTO ◽

KIYOSHI KATŌ ◽

HIROSHI TOKI

Keyword(s):

Wave Function ◽

Angular Momentum ◽

Shell Model ◽

Tensor Operator ◽

Type Method ◽

Model Type ◽

High Angular Momentum ◽

Good Convergence ◽

Tensor Correlation

We investigate the roles of the tensor correlation on the structures of 4 He and 5 He . For 4 He , we take the high angular momentum states within the 2p2h excitations of the shell model type method to describe the tensor correlation explicitly. We found that the solutions show a good convergence and the obtained wave function has the large tensor correlation. We also found that three 2p2h configurations are largely coupled with (0s)4 one to describe the tensor correlation, which is understood from the selectivity of the tensor operator. This tensor correlation is also important to describe the scattering phenomena of the 4 He +n system including the higher partial waves consistently.

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