A field-theoretical treatment of two-nucleon systems: nucleon-nucleon scattering and deuteron properties

The “clothing” procedure in quantum field theory is applied for the description of nucleon-nucleon (NN−) scattering and deuteron properties. We consider the system of interacting fermion and meson fields with the Yukawa-type couplings to introduce trial interactions between "bare" particle...

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Main Author: E. O. Dubovyk
Format: Article
Language:English
Published: Institute for Nuclear Research, National Academy of Sciences of Ukraine 2010-12-01
Series:Ядерна фізика та енергетика
Subjects:
Online Access:http://jnpae.kinr.kiev.ua/11.4/Articles_PDF/jnpae-2010-11-0373-Dubovyk.pdf
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author E. O. Dubovyk
author_facet E. O. Dubovyk
author_sort E. O. Dubovyk
collection DOAJ
description The “clothing” procedure in quantum field theory is applied for the description of nucleon-nucleon (NN−) scattering and deuteron properties. We consider the system of interacting fermion and meson fields with the Yukawa-type couplings to introduce trial interactions between "bare" particles. Special unitary transformations are used to express the primary total Hamiltonian through new creation/annihilation operators for the so-called clothed particles (these quasiparticles of our approach). We are focused upon the Hermitian and energy-independent interactions (quasipotentials) between the clothed nucleons, being built up in the second order in the coupling constants. The interactions are the kernels of integral equations for the T-matrix of N-N scattering and the deuteron wave function in momentum space. We discuss distinctions between our quasipotentials and the Bonn potential. Numerical solutions of these equations are compared with those by the Bonn group.
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spelling doaj-art-c6701237ba3844f5b86b4e87754efedc2025-08-20T02:19:15ZengInstitute for Nuclear Research, National Academy of Sciences of UkraineЯдерна фізика та енергетика1818-331X2074-05652010-12-01114373378A field-theoretical treatment of two-nucleon systems: nucleon-nucleon scattering and deuteron propertiesE. O. Dubovyk0Institute of Electrophysics and Radiation Technologies, National Academy of Sciences of Ukraine, Kharkiv, UkraineThe “clothing” procedure in quantum field theory is applied for the description of nucleon-nucleon (NN−) scattering and deuteron properties. We consider the system of interacting fermion and meson fields with the Yukawa-type couplings to introduce trial interactions between "bare" particles. Special unitary transformations are used to express the primary total Hamiltonian through new creation/annihilation operators for the so-called clothed particles (these quasiparticles of our approach). We are focused upon the Hermitian and energy-independent interactions (quasipotentials) between the clothed nucleons, being built up in the second order in the coupling constants. The interactions are the kernels of integral equations for the T-matrix of N-N scattering and the deuteron wave function in momentum space. We discuss distinctions between our quasipotentials and the Bonn potential. Numerical solutions of these equations are compared with those by the Bonn group.http://jnpae.kinr.kiev.ua/11.4/Articles_PDF/jnpae-2010-11-0373-Dubovyk.pdfquantum field theorynucleon-nucleon scatteringdeuteronBonn potential
spellingShingle E. O. Dubovyk
A field-theoretical treatment of two-nucleon systems: nucleon-nucleon scattering and deuteron properties
Ядерна фізика та енергетика
quantum field theory
nucleon-nucleon scattering
deuteron
Bonn potential
title A field-theoretical treatment of two-nucleon systems: nucleon-nucleon scattering and deuteron properties
title_full A field-theoretical treatment of two-nucleon systems: nucleon-nucleon scattering and deuteron properties
title_fullStr A field-theoretical treatment of two-nucleon systems: nucleon-nucleon scattering and deuteron properties
title_full_unstemmed A field-theoretical treatment of two-nucleon systems: nucleon-nucleon scattering and deuteron properties
title_short A field-theoretical treatment of two-nucleon systems: nucleon-nucleon scattering and deuteron properties
title_sort field theoretical treatment of two nucleon systems nucleon nucleon scattering and deuteron properties
topic quantum field theory
nucleon-nucleon scattering
deuteron
Bonn potential
url http://jnpae.kinr.kiev.ua/11.4/Articles_PDF/jnpae-2010-11-0373-Dubovyk.pdf
work_keys_str_mv AT eodubovyk afieldtheoreticaltreatmentoftwonucleonsystemsnucleonnucleonscatteringanddeuteronproperties
AT eodubovyk fieldtheoreticaltreatmentoftwonucleonsystemsnucleonnucleonscatteringanddeuteronproperties