The Inclusive Muon Neutrino Reaction In 12C Page: 4 of 14
This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided to UNT Digital Library by the UNT Libraries Government Documents Department.
Extracted Text
The following text was automatically extracted from the image on this page using optical character recognition software:
where
G
Mk, -= cosac2LyA(1 - ys)u, < kIJA(0)12C > . (4)
We may write:
M G2 cos Bc
Maz = 2cosmc LA < kJ,(o) 12C >< kIJA(0) 12C >" . (5)
Here L'a is the lepton tensor given by:
LeA = p p, - P . Py9' + PvP - eo"app.{
We assume an average excitation for the nucleus, 6, given by:
M2-M= 6 (7)
where M and M are the initial state mass and the excited state mass, respectively. This
value of the excitation, S, must change with neutrino energy. Above the giant dipole
resonance of roughly 24 MeV, however, S can be assumed to only slowly vary because
the giant dipole resonance dominates the spectrum of states of the final nucleus. Recently
using electron scattering data we have been able to check this assumption. We shall discuss
this point later. We also assume from our knowledge of individual states, that most of the
interaction tends to be in the forward direction so that we may write:
E = E,-6 (8a)
and
The four momentum of the nuclear state, k, may therefore be written as:
Pi:="P + 4- < pg> . (9)
We also define < q" >= p - < p > which we shall use shortly. We note that the
subscripts identify the particles in Eq.(9) and are not four-vector indices. We are now able
to write the cross section as:
-Cs2c [dn V < k J,(O)I'2C >< kJ(0)f 2C >* LeA
2M4~ Jf .
k
_ _<__ _ _ _ _ __>_ _(10)
x
2M - 2E + 2E, cos rn..u S->
<IPu!>4
Upcoming Pages
Here’s what’s next.
Search Inside
This article can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Article.
Pourkaviani, M. & Mintz, S. The Inclusive Muon Neutrino Reaction In 12C, article, November 1, 1995; [Newport News, Virginia]. (https://digital.library.unt.edu/ark:/67531/metadc934886/m1/4/: accessed April 19, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.