Stable fermion bag solitons in the massive Gross-Neveu model: Inverse scattering analysis

Journal Article · Tue Nov 15 04:00:00 EST 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.105009· OSTI ID:20711588

Feinberg, Joshua ^[1]; Hillel, Shlomi ^[2]

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1. Department of Physics, University of Haifa at Oranim, Tivon 36006 (Israel)
2. Department of Physics, Technion, Haifa 32000 (Israel)

Formation of fermion bag solitons is an important paradigm in the theory of hadron structure. We study this phenomenon nonperturbatively in the 1+1 dimensional Massive Gross-Neveu model, in the large N limit. We find, applying inverse-scattering techniques, that the extremal static bag configurations are reflectionless, as in the massless Gross-Neveu model. This adds to existing results of variational calculations, which used reflectionless bag profiles as trial configurations. Only reflectionless trial configurations which support a single pair of charge-conjugate bound states of the associated Dirac equation were used in those calculations, whereas the results in the present paper hold for bag configurations which support an arbitrary number of such pairs. We compute the masses of these multibound state solitons, and prove that only bag configurations which bear a single pair of bound states are stable. Each one of these configurations gives rise to an O(2N) antisymmetric tensor multiplet of soliton states, as in the massless Gross-Neveu model.

• OSTI ID: 20711588
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIOMATIC FIELD THEORY
BAG MODEL
BOUND STATE
DIRAC EQUATION
FERMIONS
HADRONS
INVERSE SCATTERING PROBLEM
O GROUPS
ONE-DIMENSIONAL CALCULATIONS
RELATIVISTIC RANGE
REST MASS
SOLITONS
TENSORS
VARIATIONAL METHODS