Coupling and recoupling coefficients for Wigner’s U(4) supermultiplet symmetry

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/68407700:21240/24:00377684

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Coupling and recoupling coefficients for Wigner’s U(4) supermultiplet symmetry

Popis výsledku v původním jazyce

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).

Název v anglickém jazyce

Coupling and recoupling coefficients for Wigner’s U(4) supermultiplet symmetry

Popis výsledku anglicky

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).

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10304 - Nuclear physics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

European Physical Journal Plus

ISSN

2190-5444

e-ISSN

2190-5444

Svazek periodika

139

Číslo periodika v rámci svazku

10

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

21

Strana od-do

933

Kód UT WoS článku

001341262200002

EID výsledku v databázi Scopus

2-s2.0-85203252613