ISU Coloq 11-3-2014

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Elastic -vs- Inelastic Collisisons

Elastic Collisions: Conserve P and E

Inelastic : Only Conserve P

Definition of Mission Mass

Definition of Momentum Transfer

4-Momentum vector definition using Ryder convention

Pμ(Ec,p)
Pμ(Ec,p)
PμPμ=(Ec)2p2=E2p2=m2 if you define the speed of light as unity


Note
Other conventions used by Perkins
Pμ(p,E)
Pμ(p,E)

or Kollen

Pμ(p,iE)
Pμ(p,iE)


Momentum transfer is defined as

qμ(ω,q)=PiμPfμ : conservation of momentum
qμqμ=(EiEf)2(PiPf)(PiPf)
=m2i+m2f2EiEf+2|Pi||Pf|


References

Semi-inclusive deep inelastic scattering at small transverse momentum


Naomi's SIDIS Hermes talk from 2011 at NNPSS11


TF_SIDIS_Physics