The order of magnitude of the probability that the proton will tunnel out of a nucleus barrier.

Question

The population density, Ni, corresponding to a discrete energy level, E₁, for a group of N like particles in Local Thermodynamic Equilibrium (LTE) state can be described by the following equation N₂ 9₁c-Ei/(KRT) Z(T) N i) Define the remaining quantities or constants in the above equation. ii) = Produce an expression for Z(T) as a function of T. In order to calculate Z(T) for a particular atomic gas such as argon, what atomic data or information needs to be made available before the calculation is carried out? iii) To uniquely describe the population density distribution corresponding to different discrete energy levels of a diatomic molecular gas such as CO in equilibrium, how many Z(T) functions need to be used and why?

Answer 1

Question

Chapter 35, Problem 16P

To determine

The order of magnitude of the probability that the proton will tunnel out of a nucleus barrier.

Expert Solution & Answer

Trending nowThis is a popular solution!

See solution

Check out sample textbook solution

Students have asked these similar questions

The population density, Ni, corresponding to a discrete energy level, E₁, for a group of N like particles in Local Thermodynamic Equilibrium (LTE) state can be described by the following equation N₂ 9₁c-Ei/(KRT) Z(T) N i) Define the remaining quantities or constants in the above equation. ii) = Produce an expression for Z(T) as a function of T. In order to calculate Z(T) for a particular atomic gas such as argon, what atomic data or information needs to be made available before the calculation is carried out? iii) To uniquely describe the population density distribution corresponding to different discrete energy levels of a diatomic molecular gas such as CO in equilibrium, how many Z(T) functions need to be used and why?

Calculate the transmission probability of an particle of energy E= 5.0 MeV through a Coulomb barrier of a heavy nucleus that is approximated by a square barrier with V0 = 15 MeV and barrier width L = 1.3 x 10-14 m. Also, calculate the probability (a) by doubling the potential barrier height and (b) by using the original barrier height but doubling the barrier width. Compare all three probabilities.

One of the bound states of positronium has a lifetime given in natural units by T = 2/mas where m is the mass of the electron and a is the fine structure con- stant. Using dimensional arguments introduce the factors ħ and c and determine T in seconds.