The Assumptions:
(and a rating 1-10 of how realistic I find them, 10 being
relistic)
1)The general form of a fock state wave function in the
momentum fraction representation for and eigen state of gross quark
number with n quarks:
Psi(x1,...xn) =
A/(mp2
-sumi=1,n[mt2i/xi])
A is a normalization constant, xi is the fraction of the hadron's
longitudinal momentum carried by quark i in the infinite momentum
frame,
mt2=m2+kt2 and
kt is the transverse momentum of the parton. The entire
denominator here is called the off mass shell variable. I have a hard time
seeing why. (6)
2) The binding energy of the quarks has no effect on the
diffraction process. That is, a hadron in a higher Fock state can be detected as multiple hadrons without some binding energy changing the momentum components of the detected particles durring dissociation. (7)
3) The average transverse momentum of a given quark is proportional
to it's
(effective) mass. The effective masses are taken to be
mq=(1/3)*mp=313MeV, ms=500MeV,
mc=1500MeV and the constant of proportionality is one for light
quarks (including strange) and for charm it's 2/3. (6 Try putting in 2/3
for all quarks)
4)
The probability for a diffractive process to occur is eaqual to the
probability for a fusion process to occur. (1)
5)
For a given fock state i, the probability of diffractively producing a
certain charmed (anticharmed) hadron h, given that a diffractive process will
occur, is aih/bi
where aih refferes to how many of the
bi hadrons that can be diffractively produced from fock state i
are identical to h. This follows from the assumption that each quark has the
same quantity of color charge and is therefore bound witth he same
quantity of energy as every other quark. However, it seems to me like the
more quarks in the final diffractively produced hadron the less likely it
is to be produced. I can see, however, that my objection is not valid
untill there are more than 5 quarks in the initial state.(7)
6)
Eeach of the 10 charmed hadrons (with no heavy quarks ther than the c, ie
D+, Ds+, D0, lambda c, sigma c ++, sigma c +, sigma c 0, Xi c +, Xi c 0,
Omega c)
are produced with equal probability in fusion processes. Seems to me
like more massive hadrons should be produced less often, but the QCD
factorization theorem disagrees with my intuition. (3)