Edinburgh Research Archive logo

Edinburgh Research Archive

University of Edinburgh homecrest
View Item 
  •   ERA Home
  • Physics, School of
  • Physics research publications
  • View Item
  •   ERA Home
  • Physics, School of
  • Physics research publications
  • View Item
  • Login
JavaScript is disabled for your browser. Some features of this site may not work without it.

Nuclear statistical model with applications to stability

View/Open
SpainB_1939redux.pdf (11.71Mb)
Date
1939
Author
Spain, Barry
Metadata
Show full item record
Abstract
 
 
Theoretical formulae have been developed for the energy of a nucleus according to a statistical model and an expansion has been made.
 
The results have been applied to the numerical calculation of energies, radii, the surplus of neutrons over protons in stable nuclei and finally to a discussion of the various ni.
 
As seen from graph III, very good results have been obtained for the energy agreeing almost exactly with experimental results even down to the small nucleus ₇N¹⁴ which really ought to be outside the scope of a statistical model, owing to having so few as 14 particles.
 
Graphs III and IV give good values for the mid -point between max Δ and min Δ. The breadths max Δ - min Δ ought to be somewhat larger in particular for the nuclei with an even number of particles.
 
The inclusion of the spin terms in the energy enables us to consider the stability of nuclei in greater detail than has been possible in the older calculations. We can state for any given nucleus, whether it ought to be stable or not. It is, of course, in the nature of the statistical model that local fluctuations are smoothed out, so that we can only expect statistical agreement with experimental results.
 
With this reservation the results are satisfactory for nuclei with an odd number of particles, except that the model only gives stable nuclei the spin one-half, whereas experiments show that nuclei exist with spins as great as nine-halves.
 
On the other hand, the region of stability for nuclei with an even number of particles as given by the model is too small, as can be seen from the fact that the total number of isobars could only just be two. (Or from n₄-n₁~o which amounts to the same thing).
 
It is possible that with other interaction potentials better agreement could be obtained, it seems more probable that the disagreement is due to the fact that in the statistical model, the difference between even and odd particles is not sufficiently pronounced.
 
URI
http://hdl.handle.net/1842/34055
Collections
  • Physics research publications

Library & University Collections HomeUniversity of Edinburgh Information Services Home
Privacy & Cookies | Takedown Policy | Accessibility | Contact
Privacy & Cookies
Takedown Policy
Accessibility
Contact
feed RSS Feeds

RSS Feed not available for this page

 

 

All of ERACommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsPublication TypeSponsorSupervisorsThis CollectionBy Issue DateAuthorsTitlesSubjectsPublication TypeSponsorSupervisors
LoginRegister

Library & University Collections HomeUniversity of Edinburgh Information Services Home
Privacy & Cookies | Takedown Policy | Accessibility | Contact
Privacy & Cookies
Takedown Policy
Accessibility
Contact
feed RSS Feeds

RSS Feed not available for this page