Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis

Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis

A new technique towards finding asymptotic normalization coefficients in the complex-ranged Gaussian basis is presented. It is shown that a diagonalisation procedure for the total Hamiltonian matrix in the given basis results in approximation for a radial part of the bound state wave function fro...

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Main Author: Dinmukhamed A. Sailaubek, Olga A. Rubtsova
Format: Article
Language:English
Published: SciPost 2020-02-01
Series:SciPost Physics Proceedings
Online Access:https://scipost.org/SciPostPhysProc.3.043
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spelling doaj-28f4205bc0554a829cff8db92f5569d32021-04-19T11:19:47ZengSciPostSciPost Physics Proceedings2666-40032020-02-01304310.21468/SciPostPhysProc.3.043Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basisDinmukhamed A. Sailaubek, Olga A. RubtsovaA new technique towards finding asymptotic normalization coefficients in the complex-ranged Gaussian basis is presented. It is shown that a diagonalisation procedure for the total Hamiltonian matrix in the given basis results in approximation for a radial part of the bound state wave function from the origin up to the far asymptotic distances, which allows to extract ANCs rather accurately. The method is illustrated by calculations of single-particle ANCs for nuclei bound states in cases of non-local nucleon-nucleus interactions, in particular, phenomenological global potentials with the Perey-Buck's non-locality.https://scipost.org/SciPostPhysProc.3.043
collection DOAJ
language English
format Article
sources DOAJ
author Dinmukhamed A. Sailaubek, Olga A. Rubtsova
spellingShingle Dinmukhamed A. Sailaubek, Olga A. Rubtsova
Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis
SciPost Physics Proceedings
author_facet Dinmukhamed A. Sailaubek, Olga A. Rubtsova
author_sort Dinmukhamed A. Sailaubek, Olga A. Rubtsova
title Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis
title_short Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis
title_full Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis
title_fullStr Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis
title_full_unstemmed Calculation of asymptotic normalization coefficients in the complex-ranged Gaussian basis
title_sort calculation of asymptotic normalization coefficients in the complex-ranged gaussian basis
publisher SciPost
series SciPost Physics Proceedings
issn 2666-4003
publishDate 2020-02-01
description A new technique towards finding asymptotic normalization coefficients in the complex-ranged Gaussian basis is presented. It is shown that a diagonalisation procedure for the total Hamiltonian matrix in the given basis results in approximation for a radial part of the bound state wave function from the origin up to the far asymptotic distances, which allows to extract ANCs rather accurately. The method is illustrated by calculations of single-particle ANCs for nuclei bound states in cases of non-local nucleon-nucleus interactions, in particular, phenomenological global potentials with the Perey-Buck's non-locality.
url https://scipost.org/SciPostPhysProc.3.043
work_keys_str_mv AT dinmukhamedasailaubekolgaarubtsova calculationofasymptoticnormalizationcoefficientsinthecomplexrangedgaussianbasis
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