Multiquark evolution in QCD
We present a formalism for the evolution in Q/sub 2/ of multiquark systems as an application of perturbative quantum chromodynamics (QCD) to asymptotic, exclusive nuclear amplitudes. To leading terms in log Q/sup 2/ our formalism is equivalent to solving the renormalization group equations for these amplitudes. Completely antisymmetric multiquark color-singlet represntations are constructed and their evolution is investigated from the one-gluon exchange kernel. We argue that the evolution equation, together with a cluster decomposition, demonstrates a transition from the traditional meson and nucleon degrees of freedom of nuclear physics to quark and gluon degrees of freedom with increasing Q/sup 2/, or at small internucleon separation. As an example, we derive an evolution equation for a completely antisymmetric six-quark distribution amplitude and solve the evolution equation for a deuteron S-wave amplitude. The leading anomalous dimension and the corresponding eigensolution are found for the deuteron in order to predict the asymptotic form of the deuteron distribution amplitude (i.e., light-cone wave function at short distances). The fact that the six-quark state is 80 percent hidden color at small transverse separation implies that the deuteron form factor cannot be described at large Q/sup 2/ by meson-nucleon degrees of freedom alone. Furthermore, since the N-N channel is very suppressed under these conditions, the effective nucleon-nucleon potential is naturally repulsive at short distances. 20 refs.
- Research Organization:
- Stanford Linear Accelerator Center, Menlo Park, CA (USA); Stanford Univ., CA (USA)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 6444063
- Report Number(s):
- SLAC-PUB-3787; CONF-8508127-6; ON: DE86002941
- Resource Relation:
- Conference: Nuclear chromodynamics conference, Santa Barbara, CA, USA, 12 Aug 1985
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
NUCLEAR REACTIONS
QUARK MODEL
BOUND STATE
DEUTERONS
NUCLEON-NUCLEON INTERACTIONS
QUANTUM CHROMODYNAMICS
QUARK-QUARK INTERACTIONS
S WAVES
BARYON-BARYON INTERACTIONS
CHARGED PARTICLES
COMPOSITE MODELS
FIELD THEORIES
HADRON-HADRON INTERACTIONS
INTERACTIONS
MATHEMATICAL MODELS
PARTIAL WAVES
PARTICLE INTERACTIONS
PARTICLE MODELS
QUANTUM FIELD THEORY
653003* - Nuclear Theory- Nuclear Reactions & Scattering
645400 - High Energy Physics- Field Theory