Mass Spectrum in Regge Theory

Hello,
It is my first time to post here. I want some help in the following problem.

The mass spectrum from Regge Trajectory can be written as:

alpha (s) = alpha (0) + Slope* (Mass**2)

If we take a Universal Slope. Its value is phenomenologically around 0.85
Gev**-2. I do not know if there is a strongly preferred theoretical value
for the slope parameter. It is however generally agreed that all
trajectories have the same slope (with the obvious exception of Pomeron).

I do not know if there is a theoretical determination for the Intercept
parameter alpha(0). However I have a paper in European Physics C (2003) that
indicates that the Intercept parameter must take intverse integer values,
i.e.

alpha(0) = 1/N where N=1, 2, 3, .......

With this understanding the mass spectrum is determined by a parameter free
(except the universal slope) theory.

alpha (s) = 1/N + Slope. (Mass**2)

As alpha(s) takes values 1, 2, 3, ....

Is there any parallel similar treatment available? Is there some critique of
what I have written?


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