content_image/327751.jpg content_image/327750.jpg content_image/327749.jpg content_image/327748.jpg content_image/327747.jpg content_image/327746.jpg
where B is the MIT bag constant. The bag constant is assigned to be approximately B 1 / 4 ≈ 200 MeV. The constraint of Hagedorn mass threshold becomes 

<img src='content_image/327751.jpg'>

The asymptotic density of states for the micro-canonical ensemble with large blob energy W is calculated by taking the inverse Laplace transform for the grand canonical ensemble. The inverse Laplace transform for large W is evaluated using the steepest descent method, 

<img src='content_image/327750.jpg'>

The straightforward calculation leads to the following micro-canonical ensemble, 

<img src='content_image/327749.jpg'>

where 

The saddle point of the Laplace transform is found 

<img src='content_image/327748.jpg'>

<img src='content_image/327747.jpg'>

In the standard MIT bag model, the bag’s mass and volume are given by the following relations 

<img src='content_image/327746.jpg'>

The density of states for the continuous high-lying mass spectrum is given by calculating the canonical ensemble and its transformation to the micro-canonical ensemble. The con- tinuous high-lying mass spectral densities for the color-singlet-state orthogonal, unitary and 

