The Shmushkevich Method for Higher Symmetry Groups of Interacting Particles

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00210080" target="_blank" >RIV/68407700:21340/13:00210080 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.14311/AP.2013.53.0395" target="_blank" >http://dx.doi.org/10.14311/AP.2013.53.0395</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14311/AP.2013.53.0395" target="_blank" >10.14311/AP.2013.53.0395</a>

Jazyk výsledku

angličtina

Název v původním jazyce

The Shmushkevich Method for Higher Symmetry Groups of Interacting Particles

Popis výsledku v původním jazyce

About 60 years ago, I. Shmushkevich presented a simple ingenious method for computing the relative probabilities of channels involving the same interacting multiplets of particles, without the need to compute the Clebsch-Gordan coefficients. The basic idea of Shmushkevich is "isotopic non-polarization" of the states before the interaction and after it. Hence his underlying Lie group was SU(2). We extend this idea to any simple Lie group. This paper determines the relative probabilities of various channels of scattering and decay processes following from the invariance of the interactions with respect to a compact simple a Lie group. Aiming at the probabilities rather than at the Clebsch-Gordan coefficients makes the task easier, and simultaneous consideration of all possible channels for given multiplets involved in the process, makes the task possible. The probability of states with multiplicities greater than 1 is averaged over. Examples with symmetry groups O(5), F(4), and E(8) are

Název v anglickém jazyce

The Shmushkevich Method for Higher Symmetry Groups of Interacting Particles

Popis výsledku anglicky

About 60 years ago, I. Shmushkevich presented a simple ingenious method for computing the relative probabilities of channels involving the same interacting multiplets of particles, without the need to compute the Clebsch-Gordan coefficients. The basic idea of Shmushkevich is "isotopic non-polarization" of the states before the interaction and after it. Hence his underlying Lie group was SU(2). We extend this idea to any simple Lie group. This paper determines the relative probabilities of various channels of scattering and decay processes following from the invariance of the interactions with respect to a compact simple a Lie group. Aiming at the probabilities rather than at the Clebsch-Gordan coefficients makes the task easier, and simultaneous consideration of all possible channels for given multiplets involved in the process, makes the task possible. The probability of states with multiplicities greater than 1 is averaged over. Examples with symmetry groups O(5), F(4), and E(8) are

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

—

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

Acta Polytechnica

ISSN

1210-2709

e-ISSN

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Svazek periodika

53

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

4

Strana od-do

395-398

Kód UT WoS článku

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EID výsledku v databázi Scopus

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