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Extended geometric supergravity on group manifolds with spontaneous fibration
ANNALS OF PHYSICSls,
Abstracts
244-245 (1979)
of Papers
to Appear
in Future
Issues
Extended Geometric Supergravity on Group Manifolds with Spontaneous Fibration. JEAN THIERRYMIEG. California Institute of Technology, Pasadena, California 91125. YUVAL NE’EMAN. Tel-Aviv University, Tel-Aviv, Israel and University of Texas, Austin, Texas 78712. We review and develop geometrical gauging involving the sequence: Lie group/Principal Bundle, for an Internal symmetry group/Soft Group Manifold, for Non-Internal groups. In the Internal case, we rederive the Ghost-fields and the BRS transformations and equations geometrically. In the case of a Soft Group Manifold, we study Spontaneous Fibration, rederive Gravity and Supergravity and then present Extended geometric Supergravity theories. Theoretically Unprejudiced Fits to Proton Scattering. A. M. KOBOS AND R. S. MACKINTOSH. Science Research Council, Daresbury Laboratory, Daresbury, Warrington WA4 4AD, United Kingdom. By using a spline interpolation method applied to all components of the proton optical potential we have fitted elastic scattering from 4oCa and from I50 at a range of energies. The potentials are highly oscillatory and we have shown that similar oscillations are found when the spline fitting procedure is applied to pseudo-data generated from potentials of known Z-dependence. Moreover, we show how to find an I-independent potential equivalent to one that is I-dependent and we find that it is oscillatory and that various characteristic features of empirical spline fit potentials can be explained. Thus, by fitting the data with model independent I-independent potentials we have found support for the contention that the nucleon optical potential should be viewed as being Z-dependent. This work may be regarded as an example of the kind of physical information that can be gained by pursuing exact fits to proton elastic scattering data. Interacting Boson Model of Collective Nuclear States IV. The O(6) Limit. A. ARIMA. Department of Physics, University of Tokyo, Tokyo, Japan. F. IACHELLO. Kernfysisch Versneller Instituut, University of Groningen, Groningen, The Netherlands and Physics Department, Yale University, New Haven, Connecticut 06520. We discuss a third limit of the interacting boson model. We show that this limit is associated with the group O(6) of orthogonal transformations in six dimensions. We derive, within the framework of this symmetry, several closed expressions for energies and electromagnetic transition rates. Coupling Constants and the Nonrelativistic Quark Model with Charmonium Potential. MASUD CHAICHIAN. Research Institute for Theoretical Physics, Helsinki, Finland. REINHART K&ERLER. Institute for Theoretical Physics, University of Vienna, Vienna, Austria. Hadronic coupling constants of the vertices including charm mesons are calculated in a nonrelativistic quark model. The wave functions of the mesons which enter the corresponding overlap integrals are obtained from the charmonium picture as quark-antiquark bound state solutions of the SchrGdinger equation. The model for the vertices takes into account in a dynamical way the SU, breakings through different masses of quarks and different wave functions in the overlap integrals. All hadronic vertices involving scalar, pseudoscalar, vector, pseudovector and tensor mesons are calculated up to an overall normalization constant. Regularities among the couplings of mesons and their radial excitations are observed: (i) Couplings decrease with increasing order of radial excitations; (ii) in general they change sign if a particle is replaced by its next radial excitation. The k-dependence of the vertices is studied. This has potential importance in explaining the unorthodox ratios in different decay channels (e.g. DD, DD*, D*D*). Having got the hadronic couplings radiative 244 0003-4916/79/120244-02$05.00/0 Copyright All rights
0 1979 by Academic Press, Inc. of reproduction in any form reserved.
Abstracts
244-245 (1979)
of Papers
to Appear
in Future
Issues
Extended Geometric Supergravity on Group Manifolds with Spontaneous Fibration. JEAN THIERRYMIEG. California Institute of Technology, Pasadena, California 91125. YUVAL NE’EMAN. Tel-Aviv University, Tel-Aviv, Israel and University of Texas, Austin, Texas 78712. We review and develop geometrical gauging involving the sequence: Lie group/Principal Bundle, for an Internal symmetry group/Soft Group Manifold, for Non-Internal groups. In the Internal case, we rederive the Ghost-fields and the BRS transformations and equations geometrically. In the case of a Soft Group Manifold, we study Spontaneous Fibration, rederive Gravity and Supergravity and then present Extended geometric Supergravity theories. Theoretically Unprejudiced Fits to Proton Scattering. A. M. KOBOS AND R. S. MACKINTOSH. Science Research Council, Daresbury Laboratory, Daresbury, Warrington WA4 4AD, United Kingdom. By using a spline interpolation method applied to all components of the proton optical potential we have fitted elastic scattering from 4oCa and from I50 at a range of energies. The potentials are highly oscillatory and we have shown that similar oscillations are found when the spline fitting procedure is applied to pseudo-data generated from potentials of known Z-dependence. Moreover, we show how to find an I-independent potential equivalent to one that is I-dependent and we find that it is oscillatory and that various characteristic features of empirical spline fit potentials can be explained. Thus, by fitting the data with model independent I-independent potentials we have found support for the contention that the nucleon optical potential should be viewed as being Z-dependent. This work may be regarded as an example of the kind of physical information that can be gained by pursuing exact fits to proton elastic scattering data. Interacting Boson Model of Collective Nuclear States IV. The O(6) Limit. A. ARIMA. Department of Physics, University of Tokyo, Tokyo, Japan. F. IACHELLO. Kernfysisch Versneller Instituut, University of Groningen, Groningen, The Netherlands and Physics Department, Yale University, New Haven, Connecticut 06520. We discuss a third limit of the interacting boson model. We show that this limit is associated with the group O(6) of orthogonal transformations in six dimensions. We derive, within the framework of this symmetry, several closed expressions for energies and electromagnetic transition rates. Coupling Constants and the Nonrelativistic Quark Model with Charmonium Potential. MASUD CHAICHIAN. Research Institute for Theoretical Physics, Helsinki, Finland. REINHART K&ERLER. Institute for Theoretical Physics, University of Vienna, Vienna, Austria. Hadronic coupling constants of the vertices including charm mesons are calculated in a nonrelativistic quark model. The wave functions of the mesons which enter the corresponding overlap integrals are obtained from the charmonium picture as quark-antiquark bound state solutions of the SchrGdinger equation. The model for the vertices takes into account in a dynamical way the SU, breakings through different masses of quarks and different wave functions in the overlap integrals. All hadronic vertices involving scalar, pseudoscalar, vector, pseudovector and tensor mesons are calculated up to an overall normalization constant. Regularities among the couplings of mesons and their radial excitations are observed: (i) Couplings decrease with increasing order of radial excitations; (ii) in general they change sign if a particle is replaced by its next radial excitation. The k-dependence of the vertices is studied. This has potential importance in explaining the unorthodox ratios in different decay channels (e.g. DD, DD*, D*D*). Having got the hadronic couplings radiative 244 0003-4916/79/120244-02$05.00/0 Copyright All rights
0 1979 by Academic Press, Inc. of reproduction in any form reserved.