- Email: [email protected]
Meson mass formula in broken SUN symmetry and its applications
ANNALS OF PHYSICS
101, 342-343 (1976)
Abstracts of Papers to Appear in Future Issues Explicit Evaluation of the Amplitude for Elastic Heavy Ion Scattering. W. E. FRAHN, Physics Department, University of Cape Town, Rondebosch (Cape) 7700, South Africa; AND D. H. E. GROSS, Sektor Kernphysik, Hahn-Meitner Institut ffir Kernforschung, 1 Berlin 39, Germany. The partial-wave expansion of the amplitude for elastic heavy ion scattering is explicitly evaluated for realistic quantal scattering functions. Closed expressions are derived for general forms of the absorptive shape function in the limits of weak and strong absorption. By assuming a Gaussian model of the absorptive shape function, the explicit evaluation can be carried out by a systematic asymptotic expansion valid over the whole range between the weak and strong absorption limits. The result enables us to give a detailed analytic discussion of possible scattering conditions and to identify the physical mechanisms that operate in different limiting situations. It is shown that the transition between the quantal (diffractive) and semiclassical (nondiffractive) regimes is controlled by a characteristic parameter ~A = ½A~ I O'(A)r. The explicit formalism provides a systematic description of the main physical processes in elastic heavy ion scattering as well as quantitative criteria for their regimes of validity.
Meson Mass Formula in Broken SUN Symmetry and Its Applications. H. HAYASHI, Department of Physics, Faculty of Education, Shizuoka University, Shizuoka, Japan; L ISmWATA, Shizuoka Public Health Laboratory, Shizuoka, Japan; S. IWAO, Department of Physics, College of Liberal Arts, Kanazawa University, Kanazawa, Japan; M. SHAKO, Data Processing Center, Kanazawa University, Kanazawa, Japan; AND S. TAKESHITA, Shizuoka Environmental Pollution Control & Research Center, Shizuoka, Japan. G r o u p theory of SU5 and SU6 symmetry is developed explicitly. The meson mass formula of B o r c h a r d t - M a t h u r - O k u b o type is generalized to broken SUN in a form suitable for computer calculation. The result is applied to SU5 and SU6 cases, by assuming two possible assignments: (1) 3.95 or upsilon 5.97 GeV is the new lowest state of jec = 12- member of SU5 symmetry, and (2) 3.95 and 5.97 GeV states are new 1z- members of SUs and SUn, respectively. The derived wavefunctions and other consistency checks do not exclude the above two possibilities in the sense of the currently accepted Okubo-Zweig-Iizuka rule. A further check of the validity of the model in future experiments is suggested from a close examination of the group theoretical structures studied in this paper and available information.
General Relativistic Pulsation Equation for Charged Fluids. IRVINGGLAZER. Department of Physics, University of Oklahoma, Norman, Oklahoma 73069. A general relativistic pulsation equation for determining the characteristic frequencies of a charged fluid is obtained. The equation is then applied to the case of charged dust.
342 Copyright © 1976 by Academic Press, Inc. All rights of reproduction in any form reserved.
101, 342-343 (1976)
Abstracts of Papers to Appear in Future Issues Explicit Evaluation of the Amplitude for Elastic Heavy Ion Scattering. W. E. FRAHN, Physics Department, University of Cape Town, Rondebosch (Cape) 7700, South Africa; AND D. H. E. GROSS, Sektor Kernphysik, Hahn-Meitner Institut ffir Kernforschung, 1 Berlin 39, Germany. The partial-wave expansion of the amplitude for elastic heavy ion scattering is explicitly evaluated for realistic quantal scattering functions. Closed expressions are derived for general forms of the absorptive shape function in the limits of weak and strong absorption. By assuming a Gaussian model of the absorptive shape function, the explicit evaluation can be carried out by a systematic asymptotic expansion valid over the whole range between the weak and strong absorption limits. The result enables us to give a detailed analytic discussion of possible scattering conditions and to identify the physical mechanisms that operate in different limiting situations. It is shown that the transition between the quantal (diffractive) and semiclassical (nondiffractive) regimes is controlled by a characteristic parameter ~A = ½A~ I O'(A)r. The explicit formalism provides a systematic description of the main physical processes in elastic heavy ion scattering as well as quantitative criteria for their regimes of validity.
Meson Mass Formula in Broken SUN Symmetry and Its Applications. H. HAYASHI, Department of Physics, Faculty of Education, Shizuoka University, Shizuoka, Japan; L ISmWATA, Shizuoka Public Health Laboratory, Shizuoka, Japan; S. IWAO, Department of Physics, College of Liberal Arts, Kanazawa University, Kanazawa, Japan; M. SHAKO, Data Processing Center, Kanazawa University, Kanazawa, Japan; AND S. TAKESHITA, Shizuoka Environmental Pollution Control & Research Center, Shizuoka, Japan. G r o u p theory of SU5 and SU6 symmetry is developed explicitly. The meson mass formula of B o r c h a r d t - M a t h u r - O k u b o type is generalized to broken SUN in a form suitable for computer calculation. The result is applied to SU5 and SU6 cases, by assuming two possible assignments: (1) 3.95 or upsilon 5.97 GeV is the new lowest state of jec = 12- member of SU5 symmetry, and (2) 3.95 and 5.97 GeV states are new 1z- members of SUs and SUn, respectively. The derived wavefunctions and other consistency checks do not exclude the above two possibilities in the sense of the currently accepted Okubo-Zweig-Iizuka rule. A further check of the validity of the model in future experiments is suggested from a close examination of the group theoretical structures studied in this paper and available information.
General Relativistic Pulsation Equation for Charged Fluids. IRVINGGLAZER. Department of Physics, University of Oklahoma, Norman, Oklahoma 73069. A general relativistic pulsation equation for determining the characteristic frequencies of a charged fluid is obtained. The equation is then applied to the case of charged dust.
342 Copyright © 1976 by Academic Press, Inc. All rights of reproduction in any form reserved.