### Abstract

The single-particle level density of Hamiltonians with continuous spectrum contains a term, the continuum level density, in addition to the contribution of the bound states. For spherical symmetric systems this extra term is related to the scattering phase shift. Definition of the continuum single-particle level density is given for deformed potentials using the scattering S-matrix. Contrary to the common belief it is shown that the Strutinsky smoothed continuum level density can be calculated using harmonic oscillator or any other expansion. The new method avoids the direct calculation of the S-matrix. The smoothed continuum level density is determined as the difference of two densities.

Original language | English |
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Pages (from-to) | 237-241 |

Number of pages | 5 |

Journal | Physics Letters B |

Volume | 431 |

Issue number | 3-4 |

Publication status | Published - Jul 16 1998 |

### Fingerprint

### Keywords

- Continuum level density
- Shell correction
- Single-particle level density
- Strutinsky method

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters B*,

*431*(3-4), 237-241.

**Calculation of the continuum level density.** / Kruppa, A.

Research output: Contribution to journal › Article

*Physics Letters B*, vol. 431, no. 3-4, pp. 237-241.

}

TY - JOUR

T1 - Calculation of the continuum level density

AU - Kruppa, A.

PY - 1998/7/16

Y1 - 1998/7/16

N2 - The single-particle level density of Hamiltonians with continuous spectrum contains a term, the continuum level density, in addition to the contribution of the bound states. For spherical symmetric systems this extra term is related to the scattering phase shift. Definition of the continuum single-particle level density is given for deformed potentials using the scattering S-matrix. Contrary to the common belief it is shown that the Strutinsky smoothed continuum level density can be calculated using harmonic oscillator or any other expansion. The new method avoids the direct calculation of the S-matrix. The smoothed continuum level density is determined as the difference of two densities.

AB - The single-particle level density of Hamiltonians with continuous spectrum contains a term, the continuum level density, in addition to the contribution of the bound states. For spherical symmetric systems this extra term is related to the scattering phase shift. Definition of the continuum single-particle level density is given for deformed potentials using the scattering S-matrix. Contrary to the common belief it is shown that the Strutinsky smoothed continuum level density can be calculated using harmonic oscillator or any other expansion. The new method avoids the direct calculation of the S-matrix. The smoothed continuum level density is determined as the difference of two densities.

KW - Continuum level density

KW - Shell correction

KW - Single-particle level density

KW - Strutinsky method

UR - http://www.scopus.com/inward/record.url?scp=0348233221&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0348233221&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0348233221

VL - 431

SP - 237

EP - 241

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -