Dark Matter and Particle Mass Bounds --- Quick notes II

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Lower bound on bosonic dark matter

         

        - Use the uncertainty principle 
                  
                        pack all particles into one cell of volume

                           -$\delta x \delta p$~ $ 1$
                           -$\ 2R_{halo} \times m \times v$~ $ 1$

                     $m_{boson} \geq 10^{-23}$  given some data



Lower bound on Fermionic dark matter                

        - From fermi exclusion spread out particles throughout the volume
               
                  $M_{halo} =m_{fermion} V \int f(p) d^3 p$
                  $f(p) = 1$
             -Add data

         $m_{fermion} \geq 10eV$
                   
       

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