Coupling and recoupling coefficients for Wigner’s U(4) supermultiplet symmetry
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F24%3A00600557" target="_blank" >RIV/61389005:_____/24:00600557 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21240/24:00377684
Result on the web
<a href="https://doi.org/10.1140/epjp/s13360-024-05581-6" target="_blank" >https://doi.org/10.1140/epjp/s13360-024-05581-6</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjp/s13360-024-05581-6" target="_blank" >10.1140/epjp/s13360-024-05581-6</a>
Alternative languages
Result language
angličtina
Original language name
Coupling and recoupling coefficients for Wigner’s U(4) supermultiplet symmetry
Original language description
A novel procedure for evaluating Wigner coupling coefficients and Racah recoupling coefficients for U(4) in two group–subgroup chains is presented. The canonical U(4)⊃U(3)⊃U(2)⊃U(1) coupling and recoupling coefficients are applicable to any system that possesses U(4) symmetry, while the physical U(4)⊃SUS(2)⊗SUT(2) coupling coefficients are more specific to nuclear structure studies that utilize Wigner’s supermultiplet symmetry concept. The procedure that is proposed sidesteps the use of binomial coefficients and alternating sum series and consequently enables fast and accurate computation of any and all U(4)-underpinned features. The inner multiplicity of a (S, T) pair within a single U(4) irreducible representation is obtained from the dimension of the null space of the SU(2) raising generators, while the resolution for the outer multiplicity follows from the work of Alex et al. on U(N). It is anticipated that a C++ library will ultimately be available for determining generic coupling and recoupling coefficients associated with both the canonical and the physical group–subgroup chains of U(4).
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10304 - Nuclear physics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Physical Journal Plus
ISSN
2190-5444
e-ISSN
2190-5444
Volume of the periodical
139
Issue of the periodical within the volume
10
Country of publishing house
DE - GERMANY
Number of pages
21
Pages from-to
933
UT code for WoS article
001341262200002
EID of the result in the Scopus database
2-s2.0-85203252613