1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Nuc Phys - Use the uncertainty principle to estimate the min speed of alpha particle

  1. Apr 27, 2009 #1
    1. The problem statement, all variables and given/known data

    Use the uncertainty principle to estimate the minimum speed and kinetic energy of an alpha particle confined to the interior of a heavy nucleus.

    2. Relevant equations

    delta_p*delta_r = h_bar/2 for minimum momentum

    p = mv for non-relativistic particle, the alpha particle in this case

    T = p^2/2m where m = rest mass of alpha particle

    I'm using Krane's Introductory Nuclear Physics and the book gives for a typical heavy nucleus, r = a = 7.5 fm. Chapter 8 section 8.4.


    3. The attempt at a solution

    I calculated p using p*a = h_bar/2 for a = 7.5 fm. But when I plugged this into T to get the minimum kinetic energy I got something of the order of 0.1 MeV for the alpha particle confined inside the nucleus.

    In the textbook it says that the kinetic energy of an alpha particle inside a typical heavy nucleus is around Q + V0 = 6 MeV + 35 MeV = 41 MeV where V0 is the depth of the potential well to which the alpha particle is confined and Q the disintegration energy.

    I don't know what I'm doing wrong here. Any help would be appreciated, thanks.
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?



Similar Discussions: Nuc Phys - Use the uncertainty principle to estimate the min speed of alpha particle
  1. Stat phys problem (Replies: 0)

  2. Uncertainty relation (Replies: 0)

Loading...