On Strutinsky's averaging method

Brack, Matthias; Pauli, Hans–Christian

doi:10.1016/0375-9474(73)90355-2

Cited by 121 publications

(136 citation statements)

References 16 publications

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“…Ifg 0 (e) is any analytical function, then ~ (e) approximates it by the first 2 M + 1 terms of its Taylor expansion around e. As discussed in [24], the remaining error may be minimized by imposing on the energy E(13) the stationary condition (~)y=,0=0.…”

Section: Strutinsky's Averaging Methodsmentioning

confidence: 99%

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Modified Nilsson model for large sodium clusters

Reimann

Brack

Hansen³

1993

Z Phys D - Atoms, Molecules and Clusters

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Abstract. We propose a modified Nilsson model for spheroidal sodium clusters and investigate the modification of shell structure by deformation for sizes up to N = 850. For spherical clusters, our potential is fitted to the single-particle spectra obtained from microscopically selfconsistent Kohn-Sham calculations using the jellium model and the local density approximation. Employing Strutinsky's shell-correction method, the surface energy of the jetlium model is renormalized to its experimental value. We find good agreement between our theoretically predicted deformed magic numbers and the experimentally observed ones extracted from recent sodium mass abundance spectra.

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Section: Strutinsky's Averaging Methodsmentioning

confidence: 99%

“…At certain values of 0, the level density is not uniform as of nuclear physics. In the following we recall the main points of the Strutinsky method and refer to [ 14,[23][24][25] for detailed discussions.…”

Section: G(e)=go(e)+og(e)mentioning

confidence: 99%

Modified Nilsson model for large sodium clusters

Reimann

Brack

Hansen³

1993

Z Phys D - Atoms, Molecules and Clusters

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“…As a side remark let us mention that the non-relativistic reduction of the former expressions coincides with the non-relativistic result of section 2.4, corresponding to the spin degeneracy ν = 2 and a non-relativistic potential V +Φ−m, provided the rest mass contributions for the energy and the chemical potential are subtracted. The semiclassical expansion for this particular example can be checked directly (as suggested in [26,20]) by means of the asymptotic Euler-Maclaurin summation formula [31] …”

Section: Application To Relativistic Harmonic Potentialsmentioning

confidence: 99%

Semiclassical expansions up to -order in relativistic nuclear physics

Caro

Arriola

Salcedo

1996

J. Phys. G: Nucl. Part. Phys.

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We present the first calculation of theh 4 -Wigner-Kirkwood corrections to a relativistic system of fermions in the presence of external scalar and vector potentials. The method we propose allows to compute efficiently semiclassical corrections to one body operators such as mean energies and local densities. It also preserves gauge invariance and produces explicitly convergent results despite some apparent divergencies at the classical turning points. As a byproduct we obtain theh 4 corrections stemming from the polarization of the Dirac sea. We apply our results to the relativistic σ-ω Lagrangian in the Hartree valence approximation. We compare the semiclassical expansion with the exact result and with the Strutinsky average whenever it can be obtained. We find that theh 4 corrections are much smaller than typical shell effects. Our results provide convincing arguments to neglect higher than second orderh effects in the Wigner-Kirkwood scheme to relativistic nuclear physics in the mean field approximation.

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“…As is well known 5,6), in the latter case smoothing involves a set of suitably chosen artificial discrete states in the continuum, obtained by diagonalizing the one-body Hamiltonian in a basis of optimum size. It is not generally realized, however, that to obtain an/~ independent of the Strutinsky smearing parameter, one has to apply the stationary condition 6) in a delicate manner 7,8), varying the curvature order to as high as sixteen.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical approximation in a realistic one-body potential

Jennings

Bhaduri

Brack³

1975

Nuclear Physics A

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For a system ofnoninteracting fermions in a one-body potential including spin-orbit interaction, an explicit series in the expansion parameter h 2 is derived for the "smooth" part of the energy. The formalism is only valid for potentials with no discontinuous edges, and is based on the WignerKirkwood semiclassical partition function. Some numerical calculations are done in realistic spherical and deformed potentials to demonstrate the practical utility of the method. Numerical comparisons with the corresponding Strutinsky calculations are also made.

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On Strutinsky's averaging method

Cited by 121 publications

References 16 publications

Modified Nilsson model for large sodium clusters

Modified Nilsson model for large sodium clusters

Semiclassical expansions up to -order in relativistic nuclear physics

Semiclassical approximation in a realistic one-body potential

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