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General operator form of the non-local three-nucleon force
Journal
The European Physical Journal. A, Hadrons and Nuclei
30
Author
Topolnicki Kacper
Volume
53
Issue
9
Article ID
181
ISSN
1434-6001
eISSN
1434-601X
Language
English
Journal language
English
Abstract in English
This paper describes a procedure to obtain the general form of the three-nucleon force. The result is an operator form where the momentum space matrix element of the three-nucleon potential is written as a linear combination of 320 isospin-spin-momentum operators and scalar functions of momenta. Any spatial and isospin rotation invariant three-nucleon force can be written in this way and in order for the potential to be Hermitian, symmetric under parity inversion, time reversal and particle exchange, the scalar functions must have definite transformation properties under these discrete operations. A complete list of the isospin-spin-momentum operators and scalar function transformation properties is given.
Affiliation
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego
Scopus© citations
7
| dc.abstract.en | This paper describes a procedure to obtain the general form of the three-nucleon force. The result is an operator form where the momentum space matrix element of the three-nucleon potential is written as a linear combination of 320 isospin-spin-momentum operators and scalar functions of momenta. Any spatial and isospin rotation invariant three-nucleon force can be written in this way and in order for the potential to be Hermitian, symmetric under parity inversion, time reversal and particle exchange, the scalar functions must have definite transformation properties under these discrete operations. A complete list of the isospin-spin-momentum operators and scalar function transformation properties is given. | pl |
| dc.affiliation | Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego | pl |
| dc.contributor.author | Topolnicki, Kacper - 138772 | pl |
| dc.date.accessioned | 2018-02-09T09:37:11Z | |
| dc.date.available | 2018-02-09T09:37:11Z | |
| dc.date.issued | 2017 | pl |
| dc.date.openaccess | 0 | |
| dc.description.accesstime | w momencie opublikowania | |
| dc.description.number | 9 | pl |
| dc.description.version | ostateczna wersja wydawcy | |
| dc.description.volume | 53 | pl |
| dc.identifier.articleid | 181 | pl |
| dc.identifier.doi | 10.1140/epja/i2017-12376-4 | pl |
| dc.identifier.eissn | 1434-601X | pl |
| dc.identifier.issn | 1434-6001 | pl |
| dc.identifier.project | ROD UJ / P | pl |
| dc.identifier.uri | https://ruj.uj.edu.pl/xmlui/handle/item/49946 | |
| 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 | General operator form of the non-local three-nucleon force | pl |
| dc.title.journal | The European Physical Journal. A, Hadrons and Nuclei | pl |
| dc.type | JournalArticle | pl |
| dspace.entity.type | Publication |
dc.abstract.enpl
This paper describes a procedure to obtain the general form of the three-nucleon force. The result is an operator form where the momentum space matrix element of the three-nucleon potential is written as a linear combination of 320 isospin-spin-momentum operators and scalar functions of momenta. Any spatial and isospin rotation invariant three-nucleon force can be written in this way and in order for the potential to be Hermitian, symmetric under parity inversion, time reversal and particle exchange, the scalar functions must have definite transformation properties under these discrete operations. A complete list of the isospin-spin-momentum operators and scalar function transformation properties is given. dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego dc.contributor.authorpl
Topolnicki, Kacper - 138772 dc.date.accessioned
2018-02-09T09:37:11Z dc.date.available
2018-02-09T09:37:11Z dc.date.issuedpl
2017 dc.date.openaccess
0 dc.description.accesstime
w momencie opublikowania dc.description.numberpl
9 dc.description.version
ostateczna wersja wydawcy dc.description.volumepl
53 dc.identifier.articleidpl
181 dc.identifier.doipl
10.1140/epja/i2017-12376-4 dc.identifier.eissnpl
1434-601X dc.identifier.issnpl
1434-6001 dc.identifier.projectpl
ROD UJ / P dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/49946 dc.languagepl
eng dc.language.containerpl
eng 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.subtypepl
Article dc.titlepl
General operator form of the non-local three-nucleon force dc.title.journalpl
The European Physical Journal. A, Hadrons and Nuclei dc.typepl
JournalArticle dspace.entity.type
Publication Affiliations
Wydział Fizyki, Astronomii i Informatyki Stosowanej
Topolnicki, Kacper
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