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The decay of magneto-plasma into neutrino anti-neutrino pair has been studied in the framework of the electro-weak interaction theory. The decay rate is calculated and the expression for the energy-loss rate is obtained in the extreme relativistic case. The neutrino luminosity has also been computed for a neutron star. A comparative study between the decay of magneto-plasma and the ordinary plasma neutrino process has been outlined in view of the cooling of highly magnetized star. The effect of this process in the different regions during the late stages of stellar evolution is discussed briefly.

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