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Propagation of Hadrons in the QCD vacuum
ANNALS
OF PHYSICS
191, 203-204 (1989)
Abstracts
of Papers
to Appear
in Future
Issues
Integrals for Spin. K. JOHNSON. Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139.
Functional
A method based upon elementary quantum mechanics for constructing a path integral representation or spin amplitudes is described. A path integral representation obtained earlier for the unitary rotation matrices is rederived. In this system, the appropriate set of classical canonical variables and their quantum counterparts are identified. It is suggested how this method can be extended to more general systems by using the three-dimensional unitary group as another example.
of Hadrons in the QCD Vacuum. C. M. SHAKIN. Department of Physics and Center for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210.
Propagation
We use a mean-field approximation to describe the propagation of nontopological solitons in the QCD vacuum. The basis of our approach is the assumption that QCD exhibits a Bose-Einstein condensation phenomenon, with macroscopic occupation of the zero-momentum mode. Within the context of approximations made here, we find that only color-singlet solitons propagate in the vacuum.
Model on a Riemann Surface. D. Z. FREEDMAN AND K. PILCH. Department of Mathematics and Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139.
Thirring
An earlier study of the Thirring model partition function is extended to incorporate twisted boundary conditions on the homology cycles of a genus g Riemann surface without boundaries. Two bosonized path integral representations of the Thirring partition function are studied and are shown to be equivalent and to reproduce the fermi version including details of spin structures. For manifolds with boundary, the example of the cylinder shows that the bosonized representations are equivalent, but associated with different de Rham cohomologies.
Sticking in dt Muon-Catalyzed Fusion: Interplay of Atomic, Molecular, and Nuclear Phenomena. MICHAEL DANOS. Center for Radiation Research, National Bureau of Standards, Gaithersburg, Maryland 20899; AND ALFONS A. STAHLHOFENAND LAWRENCE C. BIEDENHARN.Department of Physics, Duke University, Durham, North Carolina 27706.
Intrinsic
A comprehensive reaction theory for the resonant muon-catalyzed fusion of deuterium and tritium is formulated. Emphasis is put on non-perturbative, many body, treatment of the long range Coulomb force and its interference with the nuclear forces, with the aim of providing the theoretical framework for an accurate calculation of the branching ratio dtp + f (ap) + n}/( a + p + n) essential for muon-catalyzed fusion. 203 0003-4916/89 87.50 Copyright 0 1989 by Acadcmlc Press, Inc. All rights of reproduction in any form reserved.
OF PHYSICS
191, 203-204 (1989)
Abstracts
of Papers
to Appear
in Future
Issues
Integrals for Spin. K. JOHNSON. Center for Theoretical Physics, Laboratory for Nuclear Science, and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139.
Functional
A method based upon elementary quantum mechanics for constructing a path integral representation or spin amplitudes is described. A path integral representation obtained earlier for the unitary rotation matrices is rederived. In this system, the appropriate set of classical canonical variables and their quantum counterparts are identified. It is suggested how this method can be extended to more general systems by using the three-dimensional unitary group as another example.
of Hadrons in the QCD Vacuum. C. M. SHAKIN. Department of Physics and Center for Nuclear Theory, Brooklyn College of the City University of New York, Brooklyn, New York 11210.
Propagation
We use a mean-field approximation to describe the propagation of nontopological solitons in the QCD vacuum. The basis of our approach is the assumption that QCD exhibits a Bose-Einstein condensation phenomenon, with macroscopic occupation of the zero-momentum mode. Within the context of approximations made here, we find that only color-singlet solitons propagate in the vacuum.
Model on a Riemann Surface. D. Z. FREEDMAN AND K. PILCH. Department of Mathematics and Center for Theoretical Physics, Laboratory for Nuclear Science and Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139.
Thirring
An earlier study of the Thirring model partition function is extended to incorporate twisted boundary conditions on the homology cycles of a genus g Riemann surface without boundaries. Two bosonized path integral representations of the Thirring partition function are studied and are shown to be equivalent and to reproduce the fermi version including details of spin structures. For manifolds with boundary, the example of the cylinder shows that the bosonized representations are equivalent, but associated with different de Rham cohomologies.
Sticking in dt Muon-Catalyzed Fusion: Interplay of Atomic, Molecular, and Nuclear Phenomena. MICHAEL DANOS. Center for Radiation Research, National Bureau of Standards, Gaithersburg, Maryland 20899; AND ALFONS A. STAHLHOFENAND LAWRENCE C. BIEDENHARN.Department of Physics, Duke University, Durham, North Carolina 27706.
Intrinsic
A comprehensive reaction theory for the resonant muon-catalyzed fusion of deuterium and tritium is formulated. Emphasis is put on non-perturbative, many body, treatment of the long range Coulomb force and its interference with the nuclear forces, with the aim of providing the theoretical framework for an accurate calculation of the branching ratio dtp + f (ap) + n}/( a + p + n) essential for muon-catalyzed fusion. 203 0003-4916/89 87.50 Copyright 0 1989 by Acadcmlc Press, Inc. All rights of reproduction in any form reserved.