All masses below are invariant (rest) masses of bare nuclei

PHYSICS · Multi-part · Fermi University Physics · Relativity & Gravitation · Nuclear Physics · Nuclear constituents, size and binding

Relativity and Gravitation, Ch Mass as energy: binding, defect and annihilation

Problem

All masses below are invariant (rest) masses of bare nuclei, and every particle is taken to be at rest when its rest energy is quoted. Use

1\ \mathrm{u} = 931.494\ \mathrm{MeV}/c^2

m_p = 1.007276\ \mathrm{u}

m_n = 1.008665\ \mathrm{u}

, the deuteron mass

m_d = 2.013553\ \mathrm{u}

and the triton mass

m_t = 3.015501\ \mathrm{u}

. ((a)) Find the mass defect of the deuteron in

\mathrm{u}

. ((b)) Convert it to a binding energy in MeV, and give the binding energy per nucleon. ((c)) The reaction

\mathrm{d} + \mathrm{d} \to \mathrm{t} + \mathrm{p}

takes place with both deuterons at rest. Find the energy released,

Q

, in MeV.