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Neutrino neutral current reactions in 12C
ANNALS
OF PHYSICS
Abstracts
Canonical
Quantization
161, 239-240
(1985)
of Papers
with Indefinite
Inner
to Appear
Product.
LECH
in Future
Issues
Institute of Theoretical Physics,
JAKOBCZYK.
University of Wroclaw, Cybulskiego 36, X&205 Wroclaw, Poland. In this paper an algebraic approach to canonical quantization on indefinite inner product space is presented. Concrete realization of such quantization of given classical system described by a symplectic space (M. a) is obtained by means of so called ./*-representation of CCR algebra d(M, 0). So-called Fock-Krein representations of d(M. a) determined by some class of complex structures on (M, u) are studied in detail. It is shown that every Fock-Krein representation is unbounded. Starting with fixed Fock-Krein representation of CCR, sectors of non-Fock-Krein representations are constructed. Me/rim BRIAN WHITT. Department of Applied Mathematics and Theoretical Silver Street, Cambridge CB3 9EW. United Kingdom.
Israel-Wilson
Physics,
The Israel-Wilson metrics, a general class of supersymmetric metrics, are discussed. The action is calculated for given boundary conditions, and the physical significance noted. The simple case of a NUT/anti-NUT pair in an asymptotically flat spacetime is shown to be a Kerr-Newman metric with imaginary angular momentum, and the existence of its supersymmetry at tinite temperature is explained. The asymptotically flat metrics are interpreted as locally stable charged vacua, while asymptotically Robinson-Bertotti boundary conditions are found to be inapplicable to a path-integral approach to quantum gravity. Neutral Current Reactions in “C R. PARTHASARATHY AND Mathematical Sciences, Matscience, Madras-600 113. India.
Neutrino
PREMKUMAR
YFSUDIAN.
Institute of
The differential and total cross sections for the nuclear reaction v,, + i2C( g. s) + i2Cf(1 + ; T= 1, 15.1 MeV) + vlcare investigated for values of 50 < E,” < 300 MeV. An effective Hamiltonian for the above nuclear reaction is constructed from the neutrino-quark neutral-current weak interaction, by tirst constructing the neutrino-nucleon neutral current interaction and then using the impulse approximation along with the nonrelativistic reduction procedure. The Weinberg-Salam model is the basis of our calculations. Detailed expressions for the differential cross-sections are derived including the nucleon momentum-dependent terms. The numerical results are obtained using the general lp-shell wave functions of Cohen and Kurath. The sensitivity of the total cross sections to the nuclear models and to the Weinberg angle are studied. The corresponding anti-neutrino reaction is also investigated. The ratio R = (0: - e>)/(u$ + CT>)is found to be independent of the nuclear wave functions but very much sensitive to the Weinberg angle. Thus this observable can be used to determine the free parameter 8, in a nuclear reaction. thereby complimenting the studies involving free nucleons. The recoil polarization of the final nucleus ‘*C*(l+; T= 1, 15.1 MeV) is also studied and its importance is pointed out. On the Linearization
of Maxwell
Equations
in the Field
Istituto di Fisica, Universita di Bologna, Italy; P. Universita di Ferrara, Italy.
of a Weak FORTINI
AND
Gravitational C. GUALDI,
Wave.
L.
BARONI,
Istituto di Fisica,
In order to give a correct treatment of an electromagnetic gravitational wave detector, the correct form of the linearized Maxwell equations in the held of a gravitational wave is established by various 0003-4916f85
$7.50
Copyright CC. 1985 by Academic Press, Inc All rights of reproduclion m any form reserved
OF PHYSICS
Abstracts
Canonical
Quantization
161, 239-240
(1985)
of Papers
with Indefinite
Inner
to Appear
Product.
LECH
in Future
Issues
Institute of Theoretical Physics,
JAKOBCZYK.
University of Wroclaw, Cybulskiego 36, X&205 Wroclaw, Poland. In this paper an algebraic approach to canonical quantization on indefinite inner product space is presented. Concrete realization of such quantization of given classical system described by a symplectic space (M. a) is obtained by means of so called ./*-representation of CCR algebra d(M, 0). So-called Fock-Krein representations of d(M. a) determined by some class of complex structures on (M, u) are studied in detail. It is shown that every Fock-Krein representation is unbounded. Starting with fixed Fock-Krein representation of CCR, sectors of non-Fock-Krein representations are constructed. Me/rim BRIAN WHITT. Department of Applied Mathematics and Theoretical Silver Street, Cambridge CB3 9EW. United Kingdom.
Israel-Wilson
Physics,
The Israel-Wilson metrics, a general class of supersymmetric metrics, are discussed. The action is calculated for given boundary conditions, and the physical significance noted. The simple case of a NUT/anti-NUT pair in an asymptotically flat spacetime is shown to be a Kerr-Newman metric with imaginary angular momentum, and the existence of its supersymmetry at tinite temperature is explained. The asymptotically flat metrics are interpreted as locally stable charged vacua, while asymptotically Robinson-Bertotti boundary conditions are found to be inapplicable to a path-integral approach to quantum gravity. Neutral Current Reactions in “C R. PARTHASARATHY AND Mathematical Sciences, Matscience, Madras-600 113. India.
Neutrino
PREMKUMAR
YFSUDIAN.
Institute of
The differential and total cross sections for the nuclear reaction v,, + i2C( g. s) + i2Cf(1 + ; T= 1, 15.1 MeV) + vlcare investigated for values of 50 < E,” < 300 MeV. An effective Hamiltonian for the above nuclear reaction is constructed from the neutrino-quark neutral-current weak interaction, by tirst constructing the neutrino-nucleon neutral current interaction and then using the impulse approximation along with the nonrelativistic reduction procedure. The Weinberg-Salam model is the basis of our calculations. Detailed expressions for the differential cross-sections are derived including the nucleon momentum-dependent terms. The numerical results are obtained using the general lp-shell wave functions of Cohen and Kurath. The sensitivity of the total cross sections to the nuclear models and to the Weinberg angle are studied. The corresponding anti-neutrino reaction is also investigated. The ratio R = (0: - e>)/(u$ + CT>)is found to be independent of the nuclear wave functions but very much sensitive to the Weinberg angle. Thus this observable can be used to determine the free parameter 8, in a nuclear reaction. thereby complimenting the studies involving free nucleons. The recoil polarization of the final nucleus ‘*C*(l+; T= 1, 15.1 MeV) is also studied and its importance is pointed out. On the Linearization
of Maxwell
Equations
in the Field
Istituto di Fisica, Universita di Bologna, Italy; P. Universita di Ferrara, Italy.
of a Weak FORTINI
AND
Gravitational C. GUALDI,
Wave.
L.
BARONI,
Istituto di Fisica,
In order to give a correct treatment of an electromagnetic gravitational wave detector, the correct form of the linearized Maxwell equations in the held of a gravitational wave is established by various 0003-4916f85
$7.50
Copyright CC. 1985 by Academic Press, Inc All rights of reproduclion m any form reserved