Semiempirical formulas for single-particle energies of neutrons and protons

M. A.K. Lodhi; B. T. Waak

doi:10.1016/0021-9991(78)90047-5

Semiempirical formulas for single-particle energies of neutrons and protons

M. A.K. Lodhi, B. T. Waak

Physics

Research output: Contribution to journal › Article › peer-review

Abstract

The stepwise multiple linear regression technique has been used to analyze the single-particle energies of neutrons and protons in nuclei along the line of beta stability. Their regular and systematic trends lead to semiempirical model-independent formulas for single-particle energies of neutrons and protons in the bound nuclei as functions of nuclear parameters A and Z for given states specified by nl_j. These formulas are almost as convenient as the harmonic oscillator energy formulas to use. The single-particle energies computed from these formulas have been compared with the experimental data and are found in reasonable agreement.

Original language	English
Pages (from-to)	65-81
Number of pages	17
Journal	Journal of Computational Physics
Volume	28
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(78)90047-5
State	Published - Jul 1978

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abstract = "The stepwise multiple linear regression technique has been used to analyze the single-particle energies of neutrons and protons in nuclei along the line of beta stability. Their regular and systematic trends lead to semiempirical model-independent formulas for single-particle energies of neutrons and protons in the bound nuclei as functions of nuclear parameters A and Z for given states specified by nlj. These formulas are almost as convenient as the harmonic oscillator energy formulas to use. The single-particle energies computed from these formulas have been compared with the experimental data and are found in reasonable agreement.",

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AB - The stepwise multiple linear regression technique has been used to analyze the single-particle energies of neutrons and protons in nuclei along the line of beta stability. Their regular and systematic trends lead to semiempirical model-independent formulas for single-particle energies of neutrons and protons in the bound nuclei as functions of nuclear parameters A and Z for given states specified by nlj. These formulas are almost as convenient as the harmonic oscillator energy formulas to use. The single-particle energies computed from these formulas have been compared with the experimental data and are found in reasonable agreement.

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Semiempirical formulas for single-particle energies of neutrons and protons

Abstract

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