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The general operator form for the total-momentum-dependent nucleon-nucleon potential
In this paper we describe a procedure to obtain the general operator form of two-nucleon (2N) potentials and apply it to the case of the 2N potential that has an additional dependence on the total momentum of the system. This violates Galilean invariance but terms including the total momentum appear in some relativistic approaches. In operator form, the potential is expressed as a linear combination of a fixed number of known spin-momentum operators and scalar functions of momenta. Since the scalar functions effectively define the potentials, using the operator form significantly reduces the number of parameters that are needed in numerical implementations. The proposed operator form explicitly obeys the usual symmetries of rotational invariance, particle exchange, time reflection and parity.
cris.lastimport.scopus | 2024-04-07T14:26:09Z | |
dc.abstract.en | In this paper we describe a procedure to obtain the general operator form of two-nucleon (2N) potentials and apply it to the case of the 2N potential that has an additional dependence on the total momentum of the system. This violates Galilean invariance but terms including the total momentum appear in some relativistic approaches. In operator form, the potential is expressed as a linear combination of a fixed number of known spin-momentum operators and scalar functions of momenta. Since the scalar functions effectively define the potentials, using the operator form significantly reduces the number of parameters that are needed in numerical implementations. The proposed operator form explicitly obeys the usual symmetries of rotational invariance, particle exchange, time reflection and parity. | pl |
dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
dc.contributor.author | Topolnicki, Kacper - 138772 | pl |
dc.contributor.author | Golak, Jacek - 100012 | pl |
dc.contributor.author | Skibiński, Roman - 101892 | pl |
dc.contributor.author | Witała, Henryk - 100075 | pl |
dc.date.accessioned | 2016-10-11T10:23:01Z | |
dc.date.available | 2016-10-11T10:23:01Z | |
dc.date.issued | 2016 | pl |
dc.date.openaccess | 0 | |
dc.description.accesstime | w momencie opublikowania | |
dc.description.number | 7 | pl |
dc.description.version | ostateczna wersja wydawcy | |
dc.description.volume | 52 | pl |
dc.identifier.articleid | 188 | pl |
dc.identifier.doi | 10.1140/epja/i2016-16188-8 | pl |
dc.identifier.eissn | 1434-601X | pl |
dc.identifier.issn | 1434-6001 | pl |
dc.identifier.project | ROD UJ / P | pl |
dc.identifier.uri | http://ruj.uj.edu.pl/xmlui/handle/item/31365 | |
dc.language | eng | pl |
dc.language.container | eng | pl |
dc.rights | Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa | * |
dc.rights.licence | CC-BY | |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/legalcode.pl | * |
dc.share.type | inne | |
dc.subtype | Article | pl |
dc.title | The general operator form for the total-momentum-dependent nucleon-nucleon potential | pl |
dc.title.journal | The European Physical Journal. A, Hadrons and Nuclei | pl |
dc.type | JournalArticle | pl |
dspace.entity.type | Publication |
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Except as otherwise noted, this item is licensed under the Attribution 4.0 International licence