Relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach

Abstract The matrix elements of relativistic nucleon–nucleon (NN) potentials are calculated directly from the nonrelativistic potentials as a function of relative NN momentum vectors, without a partial wave decomposition. To this aim, the quadratic operator relation between the relativistic and nonr...

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Autores principales:	M. R. Hadizadeh, M. Radin, F. Nazari
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/be1e9aeead2241988abf2faea81611d2
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spelling	oai:doaj.org-article:be1e9aeead2241988abf2faea81611d22021-12-02T19:09:20ZRelativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach10.1038/s41598-021-96924-12045-2322https://doaj.org/article/be1e9aeead2241988abf2faea81611d22021-09-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-96924-1https://doaj.org/toc/2045-2322Abstract The matrix elements of relativistic nucleon–nucleon (NN) potentials are calculated directly from the nonrelativistic potentials as a function of relative NN momentum vectors, without a partial wave decomposition. To this aim, the quadratic operator relation between the relativistic and nonrelativistic NN potentials is formulated in momentum-helicity basis states. It leads to a single integral equation for the two-nucleon (2N) spin-singlet state, and four coupled integral equations for two-nucleon spin-triplet states, which are solved by an iterative method. Our numerical analysis indicates that the relativistic NN potential obtained using CD-Bonn potential reproduces the deuteron binding energy and neutron-proton elastic scattering differential and total cross-sections with high accuracy.M. R. HadizadehM. RadinF. NazariNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q M. R. Hadizadeh M. Radin F. Nazari Relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach
description	Abstract The matrix elements of relativistic nucleon–nucleon (NN) potentials are calculated directly from the nonrelativistic potentials as a function of relative NN momentum vectors, without a partial wave decomposition. To this aim, the quadratic operator relation between the relativistic and nonrelativistic NN potentials is formulated in momentum-helicity basis states. It leads to a single integral equation for the two-nucleon (2N) spin-singlet state, and four coupled integral equations for two-nucleon spin-triplet states, which are solved by an iterative method. Our numerical analysis indicates that the relativistic NN potential obtained using CD-Bonn potential reproduces the deuteron binding energy and neutron-proton elastic scattering differential and total cross-sections with high accuracy.
format	article
author	M. R. Hadizadeh M. Radin F. Nazari
author_facet	M. R. Hadizadeh M. Radin F. Nazari
author_sort	M. R. Hadizadeh
title	Relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach
title_short	Relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach
title_full	Relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach
title_fullStr	Relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach
title_full_unstemmed	Relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach
title_sort	relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/be1e9aeead2241988abf2faea81611d2
work_keys_str_mv	AT mrhadizadeh relativisticnucleonnucleonpotentialsinaspindependentthreedimensionalapproach AT mradin relativisticnucleonnucleonpotentialsinaspindependentthreedimensionalapproach AT fnazari relativisticnucleonnucleonpotentialsinaspindependentthreedimensionalapproach
_version_	1718377112940838912

Relativistic nucleon–nucleon potentials in a spin-dependent three-dimensional approach

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