The SU(3)-Nambu-Jona-Lasinio soliton in the collective quantization formulation

Technical Report · Thu Jun 11 04:00:00 EDT 1992

DOI:https://doi.org/10.2172/7030406· OSTI ID:7030406

Blotz, A; Goeke, K ^[1]; Diakonov, D; Petrov, V; Pobylitsa, P V ^[2]; Park, N W ^[3]

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1. Washington Univ., Seattle, WA (United States). Inst. for Nuclear Theory Inst. fuer Theoretische Physik 2, Ruhr-Univ. Bochum (Germany)
2. St. Petersburg Nuclear Physics Inst., Gatchina (Russia)
3. Inst. fuer Theoretische Physik 2, Ruhr-Univ. Bochum (Germany) Center for Theoretical Physics, Seoul National Univ. (Korea, Republic

On grounds of a semibosonized Nambu-Jona-Lasinio model, which has SU(3){sub R}{circle times}SU(3){sub L}-symmetry in the chiral limit, mass splittings for spin 1/2 and spin 3/2 baryons are studied in the presence of an explicit chiral symmetry breaking strange quark mass. To this aim these strangeness carrying baryons are understood as SU(3)-rotational excitations of an SU(2)-embedded soliton solution. Therefore, within the framework of collective quantization, the fermion determinant with the strange quark mass is expanded up to the second order in the flavor rotation velocity and up to the first order in this quark mass. Besides the strange and non-strange moments of inertia, which have some counterparts within the Skyrme model, some so-called anomalous moments of inertia are obtained. These call be related to the imaginary part of the effective Euclidian action and contain among others the anomalous baryon current. This is shown in a gradient expansion up to the first non-vanishing order. Together with the {Sigma}-commutator these are the solitonic ingredients of the collective hamiltonian, which is then diagonalized by means of strict perturbation theory in the strange quark mass and by the Yabu-Audo method. Both methods yield very good results for the masses of the spin 1/2 and 3/2 baryons. The former one reproduces some interesting mass formulas of Gell-Mann Okubo and Guadagnini and the latter one is able to describe the mass splittings up to a few MeV.

• Research Organization: Washington Univ., Seattle, WA (United States). Dept. of Physics
• Sponsoring Organization: DOE; USDOE, Washington, DC (United States)
• DOE Contract Number: FG06-90ER40561
• OSTI ID: 7030406
• Report Number(s): DOE/ER/40561-76; ON: DE92040075
• Country of Publication: United States
• Language: English

Related Subjects

662120* -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
662230 -- Quantum Chromodynamics-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COMPOSITE MODELS
HAMILTONIANS
LIE GROUPS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE MODELS
PERTURBATION THEORY
QUANTIZATION
QUANTUM OPERATORS
QUARK MODEL
QUASI PARTICLES
SOLITONS
SU GROUPS
SU-3 GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS