A novel method for determining the mean-field directly from the single particle matter density

S. Shlomo; M. R. Anders; I. Talmi

doi:10.1088/1742-6596/633/1/012028

A novel method for determining the mean-field directly from the single particle matter density

S. Shlomo, M. R. Anders, I. Talmi

Department of Particle Physics and Astrophysics

Research output: Contribution to journal › Conference article › peer-review

2 Citations (Scopus)

Abstract

We present a novel method, using the single particle Schrodinger equation, to determine the central potential directly from the single particle matter density and its first and second derivatives. As an example, we consider the experimental data for the charge density difference between the isotones ²⁰⁶Pb - ²⁰⁵Tl that corresponds to the shell model 3s_1/2 proton orbit, and determine the corresponding single particle potential (mean-field). We also present results of least-square fits to parametrized single particle potentials.

Original language	English
Article number	012028
Journal	Journal of Physics: Conference Series
Volume	633
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/633/1/012028
Publication status	Published - 21 Sept 2015
Event	4th International Conference on Mathematical Modeling in Physical Sciences, IC-MSquare 2015 - Mykonos, Greece Duration: 5 Jun 2015 → 8 Jun 2015

Funding

Publisher Copyright: © Published under licence by IOP Publishing Ltd.

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1088/1742-6596/633/1/012028

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title = "A novel method for determining the mean-field directly from the single particle matter density",

abstract = "We present a novel method, using the single particle Schrodinger equation, to determine the central potential directly from the single particle matter density and its first and second derivatives. As an example, we consider the experimental data for the charge density difference between the isotones 206Pb - 205Tl that corresponds to the shell model 3s1/2 proton orbit, and determine the corresponding single particle potential (mean-field). We also present results of least-square fits to parametrized single particle potentials.",

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AU - Shlomo, S.

AU - Anders, M. R.

AU - Talmi, I.

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Y1 - 2015/9/21

N2 - We present a novel method, using the single particle Schrodinger equation, to determine the central potential directly from the single particle matter density and its first and second derivatives. As an example, we consider the experimental data for the charge density difference between the isotones 206Pb - 205Tl that corresponds to the shell model 3s1/2 proton orbit, and determine the corresponding single particle potential (mean-field). We also present results of least-square fits to parametrized single particle potentials.

AB - We present a novel method, using the single particle Schrodinger equation, to determine the central potential directly from the single particle matter density and its first and second derivatives. As an example, we consider the experimental data for the charge density difference between the isotones 206Pb - 205Tl that corresponds to the shell model 3s1/2 proton orbit, and determine the corresponding single particle potential (mean-field). We also present results of least-square fits to parametrized single particle potentials.

UR - https://www.scopus.com/pages/publications/84947208167

U2 - 10.1088/1742-6596/633/1/012028

DO - 10.1088/1742-6596/633/1/012028

M3 - Conference article

SN - 1742-6588

VL - 633

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012028

T2 - 4th International Conference on Mathematical Modeling in Physical Sciences, IC-MSquare 2015

Y2 - 5 June 2015 through 8 June 2015

ER -

A novel method for determining the mean-field directly from the single particle matter density

Abstract

Funding

All Science Journal Classification (ASJC) codes

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