Question

Let's model a neutron in a nucleus as a particle of mass 1.675 × 10?²? kg in an infinitely deep 3-dimensional potential well in the form of a cubic box of side-length L = 8.96 fm in (x, y, z), so that its wave function has the form ?(x, y, z) = A sin (??x/L) sin (m?y/L) sin (n?z/L). Note that "fm" is a femtometer, 10?¹? m, and that (?, m, n) are integers, each starting at 1 and moving upward to 2, then 3, etc. In this box the potential energy is U = 0. Use Schroedinger's equation in (x, y, z) to find a formula for the energy levels of the neutron, E(?, m, n), and use your formula to find the energy in MeV of the photon (gamma ray) that is emitted when the neutron drops from its first excited state to the ground state. MeV (± 0.05 MeV)

          Let's model a neutron in a nucleus as a particle of mass 1.675 × 10?²? kg in an infinitely deep 3-dimensional potential well in the form of a cubic box of side-length L = 8.96 fm in (x, y, z), so that its wave function has the form ?(x, y, z) = A sin (??x/L) sin (m?y/L) sin (n?z/L). Note that "fm" is a femtometer, 10?¹? m, and that (?, m, n) are integers, each starting at 1 and moving upward to 2, then 3, etc. In this box the potential energy is U = 0. Use Schroedinger's equation in (x, y, z) to find a formula for the energy levels of the neutron, E(?, m, n), and use your formula to find the energy in MeV of the photon (gamma ray) that is emitted when the neutron drops from its first excited state to the ground state.
MeV (± 0.05 MeV)

Let's model a neutron in a nucleus as a particle of mass 1.675 × 10?²? kg in an infinitely deep 3-dimensional potential well in the form of a cubic box of side-length L = 8.96 fm in (x, y, z), so that its wave function has the form ?(x, y, z) = A sin (??x/L) sin (m?y/L) sin (n?z/L). Note that "fm" is a femtometer, 10?¹? m, and that (?, m, n) are integers, each starting at 1 and moving upward to 2, then 3, etc. In this box the potential energy is U = 0. Use Schroedinger's equation in (x, y, z) to find a formula for the energy levels of the neutron, E(?, m, n), and use your formula to find the energy in MeV of the photon (gamma ray) that is emitted when the neutron drops from its first excited state to the ground state.
MeV (± 0.05 MeV)

Added by Richard W.

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