Published November 1998 | Version v1
Journal article

Supermultiplet approach to relativistic equation

  • 1. Inst. of Nuclear Physics, Moscow State Univ., Moscow (Russian Federation)
  • 2. Inst. de Ciencias Nucleares, UNAM, Mexico (Mexico)

Description

The relativistic equations for the particle with an arbitrary spin have a symmetry SU(4). The supermultiplet formalism (SU(4) → SU(2) x SU(2) gives in the general case the reducible set the relativistic equations. In order to obtain the irrecible set it is necessary to use basis adopted to another subgroup chain: SU(4) Sp(4) U(1) x SU(2), where SU(2) is a usual spin group and U(1) is generated by the third projection T3 of the sign-spin. In the talk the structure of this basis is discussed. It is shown that the algebraic results developed earlier in the nuclear shell model are useful for the solution of relativistic problems under consideration

Additional details

Publishing Information

Journal Title
Yadernaya Fizika
Journal Volume
61
Journal Issue
11
Journal Page Range
p. 1965-1967
ISSN
0044-0027
CODEN
IDFZA7

Conference

Title
8. International conference on symmetry methods in physics
Original Conference Title
8. Mezhdunarodnaya konferentsiya po metodam simmetrii v fizike
Dates
28 Jul - 2 Aug 1997
Place
Dubna (Russian Federation)

INIS

Country of Publication
Russian Federation
Country of Input or Organization
Russian Federation
INIS RN
31009352
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
IRREDUCIBLE REPRESENTATIONS; RELATIVISTIC RANGE; SHELL MODELS; SP GROUPS; SPIN; SU-2 GROUPS; SU-4 GROUPS; U-2 GROUPS
Descriptors DEC
ANGULAR MOMENTUM; ENERGY RANGE; LIE GROUPS; MATHEMATICAL MODELS; NUCLEAR MODELS; PARTICLE PROPERTIES; SU GROUPS; SYMMETRY GROUPS; U GROUPS

Optional Information

Notes
8 refs., 1 tab.