Neutrino neutral current reactions in /sup 12/C

Journal Article · Wed May 01 04:00:00 EDT 1985 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(85)90084-3· OSTI ID:5599353

Parthasarathy, R; Yesudian, P

The differential and total cross sections for the nuclear reaction v/sub ..mu../+/sup 12/C (g.s.)..-->../sup 12/C* (1/sup +/; T = 1, 15.1 MeV)+v/sub ..mu../ are investigated for values of 50< or =E/sub v//sub ..mu../< or =300 MeV. An effective Hamiltonian for the above nuclear reaction is constructed from the neutrino-quark neutral current weak interaction, by first constructing the neutrino-nucleon neutral current interation and then using the impulse approximation along with the non-relativistic reduction procedure. The Weinberg-Salam model is the basis of the calculations. Detailed expressions for the differential cross sections are derived including the nucleon momentum-dependent terms. The numerical results are obtained using the general 2p-shell wavefunctions of Cohen and Kurath. The sensitivity of the total cross sections to the nuclear models and to the Weinberg angle is studied. The corresponding anti-neutrino reaction is also investigated. The ratio R = (sigma/sub T//sub v/..mu..-sigma/sub T//sup v//sub ..mu../) (sigma/sub T//sup v//sub ..mu../)+sigma/sub T//sup v//sub ..mu../) is found to be independent of the nuclear wavefunctions but very sensitive to the Weinberg angle. Thus this observable can be used to determine the free parameter theta/sub w/ in a nuclear reaction, thereby complementing the studies involving free nucleons. The recoil polarization of the final nucleus /sup 12/C*(1/sup +/; T = 1, 15.1 MeV) is also studied and its importance is pointed out.

• Research Organization: Institute of Mathematical Sciences, Matscience, Madras-600 113, India
• OSTI ID: 5599353
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 161:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

645203 -- High Energy Physics-- Particle Interactions &amp; Properties-Theoretical-- Weak Interactions &amp; Properties
651315* -- Nuclear Properties &amp; Reactions
A=6-19
Theoretical-- Nuclear Reactions &amp; Scattering-- (-1987)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CARBON 12 TARGET
CROSS SECTIONS
DIFFERENTIAL CROSS SECTIONS
ENERGY RANGE
FUNCTIONS
HAMILTONIANS
IMPULSE APPROXIMATION
INTERACTIONS
LEPTON REACTIONS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MEV RANGE
MEV RANGE 10-100
MEV RANGE 100-1000
NEUTRAL-CURRENT INTERACTIONS
NEUTRINO REACTIONS
NUCLEAR REACTIONS
PARTICLE INTERACTIONS
PARTICLE MODELS
POLARIZED PRODUCTS
QUANTUM OPERATORS
TARGETS
TOTAL CROSS SECTIONS
UNIFIED GAUGE MODELS
WAVE FUNCTIONS
WEINBERG LEPTON MODEL