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Theoretical_Exam_Question_3_English

Theoretical_Exam_Question_3_English - Theoretical Question...

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Theoretical Question 3 Part A Neutrino Mass and Neutron Decay A free neutron of mass m n decays at rest in the laboratory frame of reference into three non-interacting particles: a proton, an electron, and an anti-neutrino. The rest mass of the proton is m p , while the rest mass of the anti-neutrino m v is assumed to be nonzero and much smaller than the rest mass of the electron m e . Denote the speed of light in vacuum by c . The measured values of mass are as follows: m n = 939.56563 MeV/ c 2 , m p =   938.27231 MeV/ c 2 , m e = 0.5109907 MeV/ c 2 In the following, all energies and velocities are referred to the laboratory frame. Let E be the total energy of the electron coming out of the decay. (a) Find the maximum possible value E max of E and the speed v m of the anti-neutrino when E = E max . Both answers must be expressed in terms of the rest masses of the particles and the speed of light. Given that m v < 7.3 eV/ c 2 , compute E max and the ratio v m / c to 3 significant digits. [4.0 points]

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Part B Light Levitation
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Theoretical_Exam_Question_3_English - Theoretical Question...

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