content_image/330780.jpg content_image/330779.jpg content_image/330778.jpg content_image/330777.jpg content_image/330776.jpg content_image/330775.jpg content_image/330774.jpg
and 

<img src='content_image/330780.jpg'>

The color-singlet-state micro-canonical ensemble for the unimodular-like U (1) N$_{c}$ symmetry reads 

where 

<img src='content_image/330779.jpg'>

<img src='content_image/330778.jpg'>

Furthermore, using the standard MIT bag model approximation, the mass spectral density is reduced to 

The high-lying mass spectral density for the color-singlet-state (unimodular-like) U (1) N$_{c}$ symmetry quark-bag reads, 

where α = α$_{qb}$ = N$_{c}$/ 2 and 

<img src='content_image/330777.jpg'>

<img src='content_image/330776.jpg'>

<img src='content_image/330775.jpg'>

Generally speaking, it is possible to write the high lying mass spectral density as a linear combination of the Hagedorn states with different internal symmetries in the following way, 

<img src='content_image/330774.jpg'>

