scholarly journals Tensor optimized Fermi sphere method for nuclear matter—Power series correlated wave function and a cluster expansion

2019 ◽  
Vol 403 ◽  
pp. 1-23 ◽  
Author(s):  
Taiichi Yamada
Keyword(s):  
Wave Function ◽  
Power Series ◽  
Nuclear Matter ◽  
Cluster Expansion ◽  
Fermi Sphere

The 1S0 two-nucleon T matrix and the interior wave function

1976 ◽  
Vol 54 (22) ◽  
pp. 2225-2239 ◽  
Author(s):  
R. J. W. Hodgson ◽  
J. Tan
Keyword(s):  
Wave Function ◽  
Nuclear Matter ◽  
Symmetric Function ◽  
Body Wave ◽  
Binding Energies ◽  
Strongly Correlated ◽  
Scattering Wave ◽  
T Matrix

The fully off-shell T matrix is generated from a real symmetric function σ(k,k′) which in turn can be obtained from a knowledge of the two-body wave function in the interaction interior. The resulting T matrices are employed to compute the binding energies of 16O, 40Ca, and nuclear matter. Limiting the two-body wave function to physically acceptable forms limits the allowed σ functions. A 'difference integral' is defined in terms of the two-body scattering wave function, which seems to be strongly correlated with the binding energies.

The effects of ground state correlations in 16O on the muonuclear sum rule

1982 ◽  
Vol 60 (3) ◽  
pp. 321-328 ◽  
Author(s):  
D. Duplain ◽  
B. Goulard
Keyword(s):  
Wave Function ◽  
Cluster Expansion ◽  
Ground State ◽  
Neutrino Energy ◽  
Tensor Component ◽  
Second Order ◽  
Muon Capture ◽  
Total Rate ◽  
Sum Rule ◽  
The Mean

The total rate of muon capture by 16O is calculated using the linked cluster expansion to introduce ground state correlations. All diagrams up to the second order in the number of hole-lines are included. [Formula: see text] is reduced by some 15% and is shown to behave like σ−1,. [Formula: see text] and [Formula: see text] are strongly increased by about 30%. This enhancement is related to that part of the defect wave function which arises directly from the tensor component of the N–N potential. It is suggested that, for those transitions that are induced by spin operators, the mean neutrino energy may be smaller than usually thought.

Cluster expansion of the molecular energy with the correlated wave function

1973 ◽  
Vol 33 (1) ◽  
pp. 89-91
Author(s):  
M. Žaucer ◽  
E. Zakrajšek ◽  
A. Ažman
Keyword(s):  
Wave Function ◽  
Cluster Expansion

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

1958 ◽  
Vol 247 (1249) ◽  
pp. 245-259 ◽  
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.

How good is a Jastrow trial wave function for nuclear matter?

1976 ◽  
Vol 65 (5) ◽  
pp. 405-408 ◽  
Author(s):  
M.L. Ristig ◽  
P. Hecking
Keyword(s):  
Wave Function ◽  
Nuclear Matter ◽  
Trial Wave Function
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