Temperature from Fragment Spectra

• Nucleon momentum distribution at temp. T: r(p)=[(1+exp(p2/2m-m)/T)]-1

• Fragment momentum = sum of momenta of nucleons in it

• Problem equivalent to solving Pearson random walk in momentum space

• Limiting distribution: r(Ef)=2¶Ef /pTeff3 … exp(- Ef / Teff)(Boltzmann with Teff = s2/mN)

• Fragment slope ìtemperatureî, Teff, is not equal to T, but is amonotonous function of it_ Nuclear Thermometer

• Approximation: Teff (T)‚(2/5)ef (1+5p2T2/ef2 + ...)W.B., Phys. Rev. C 51, 803 (1995)

Teff /ef

T/ef

Previous slide

Next slide

Back to first slide

View graphic version