Hadronic deformation energy. I. Quark-antiquark separation

Journal Article · Sun Jan 01 04:00:00 EST 1978 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.17.302· OSTI ID:5033541

DeTar, C

The MIT bag model for hadrons is treated in the static cavity approximation in three dimensions with a definite quark number. The energy of the system is computed to second order in the gluon coupling. A constrained variational method is described which permits the calculation of the energy as a function of a collective variable. The bag cavity is permitted to assume whatever shape of a general class is necessary in order to minimize the energy for a given expectation value of the collective variable. The method is well suited for the study of the two-nucleon interaction at short range. By way of introducing the computational procedure the method is here applied to a bag containing one quark and one antiquark and the energy as a function of a measure of the separation of the quarks is evaluated.

• Research Organization: Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 5033541
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 17:1; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645204* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- Strong Interactions & Properties
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BARYON-BARYON INTERACTIONS
BOUNDARY CONDITIONS
COMPOSITE MODELS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIGENFUNCTIONS
ELEMENTARY PARTICLES
EQUATIONS
EXPECTATION VALUE
EXTENDED PARTICLE MODEL
FUNCTIONS
GLUON MODEL
HADRON-HADRON INTERACTIONS
HADRONS
INTERACTIONS
MATHEMATICAL MODELS
NUCLEON-NUCLEON INTERACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
QUARK MODEL
THREE-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
WAVE EQUATIONS
WAVE FUNCTIONS