Evolution of relativistic multiquark systems

Journal Article · Sat Mar 01 04:00:00 EST 1986 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.33.1406· OSTI ID:6099543

Brodsky, S J; Ji, C

The short-distance behavior of multiquark wave functions can be systematically computed in perturbative QCD. In this paper we analyze the wave function of a four-quark color-singlet bound state in SU(2)/sub C/ as an analogue to the six-quark problem in QCD. We first solve the QCD evolution equation for the multiquark distribution amplitude at short distances in the basis of completely antisymmetrized quark representations. The eigensolutions of the evolution kernel correspond to a spectrum of candidate states of the relativistic multiquark system. We then connect the four-quark antisymmetric representations and the eigensolutions to the physical two-cluster basis of SU(2)/sub C/ dibaryon (NN,N..delta..,..delta delta..) and hidden-color (CC) components and derive constraints on the effective nuclear potential between two clusters. We also find anomalous states in the spectrum which cannot exist without substantial hidden-color degrees of freedom.

• Research Organization: Stanford Linear Accelerator Center, Stanford University, Stanford, California 94305
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 6099543
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 33:5; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
COLOR MODEL
COMPOSITE MODELS
DIBARYON RESONANCES
EIGENVALUES
ELEMENTARY PARTICLES
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
HAMILTONIANS
LIE GROUPS
LIGHT CONE
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR POTENTIAL
PARTICLE MODELS
PERTURBATION THEORY
POSTULATED PARTICLES
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
QUARKS
RELATIVITY THEORY
SPACE-TIME
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
WAVE FUNCTIONS