Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Software for calculating beta decay

  1. Jul 21, 2006 #1
    Does anyone have a link or pointer to preferably freely available software with which I can calculate the energy spectrum of the electrons or positrons liberated in regular beta or beta+ - decay for a given isotope? My background is not in physics (chemical engineering, rather), and although I found the description of the theory of beta decay on http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/beta2.html#c1" very useful, it doesn't tell me what C and F(Z', KE_e) are, or how to calculate them. Introductory texts on the quantummechanical theory of beta decay quickly went over my head, so these two unknowns remain a mystery to me. I'd be very grateful for any leads and/or help.

    (I know the spectra have in most cases been carefully measured and tabulated in thick data books, but for that I need to go to a library which is about 100 km away from me :cry:.)
    Last edited by a moderator: Apr 22, 2017
  2. jcsd
  3. Jul 21, 2006 #2
    There's roundabout way of doing this (I'm sure there are better ways).
    1) from the loss in energy as the product decays, and using conservation laws (energy and momentum), you should be able to calculate the maximum and minimum energies of the electron/anti-neutrino pair (or positron/neutrino). As for the shape of the spectrum, I haven't gotten that far yet in my studies.
  4. Jul 21, 2006 #3
    Thanks for your answer, but this doesn't help me one bit. It's precisely the exact shape I'm after.
  5. Jul 23, 2006 #4


    User Avatar
    Staff Emeritus
    Science Advisor

  6. Jul 23, 2006 #5
    After hard searching, I came up with a text which writes out the equations in full. It did require a bit of Real World data to 'drive' the function, and then reminded me what a pain it is to work with density functions which must be normalised (and what an even bigger pain it is if you want to draw samples from that density function), but I got the job done.

    I have to say beta decay theory is a beautiful example of lots of approximations still yielding a very workable and useful result.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook