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/distributions [ Modules ]

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NAME

module distributions

PURPOSE

This module contains various distribution functions:


distributions/gauss [ Functions ]

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NAME

real function gauss (x, x0, w)

PURPOSE

Returns the value of the Gaussian distribution at x.

INPUTS

  • real :: x --- the argument (where the function is evaluated)
  • real :: x0 --- pole parameter
  • real :: w --- width parameter


distributions/novo [ Functions ]

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NAME

real function novo (x, x0, s, t)

PURPOSE

Returns the value of the Novosibirsk distribution at x.

INPUTS

  • real :: x --- the argument (where the function is evaluated)
  • real :: x0 --- pole parameter
  • real :: s --- width parameter sigma
  • real :: t --- skewness parameter tau


distributions/woods_saxon [ Functions ]

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NAME

real function woods_saxon (x, f0, x0, dx)

PURPOSE

Returns the value of the Woods-Saxon distribution at x.

INPUTS

  • real :: x --- the argument (where the function is evaluated)
  • real :: f0 --- normalization constant, approximately equals the value at x=0
  • real :: x0 --- 'radius' parameter
  • real :: dx --- 'diffuseness' parameter


distributions/Fermi [ Functions ]

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NAME

real function Fermi (E, mu, T)

PURPOSE

Returns the value of the Fermi distribution for the energy E, chemical potential mu and temperature T.

INPUTS

  • real :: E --- energy in GeV
  • real :: mu --- chemical potential in GeV
  • real :: T --- temperature in GeV


distributions/bW [ Functions ]

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NAME

real function bW(x,pole,width)

PURPOSE

Returns the value of the non-relativistic Breit-Wigner distribution at x with a given pole and width.

INPUTS


distributions/RelBW [ Functions ]

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NAME

real function RelBW(x,pole,width)

NOTES

Returns the value of the relativistic Breit-Wigner distribution at x with a given pole and width.

INPUTS

  • real :: x --- invariant mass sqrt(p_nu*p^nu) [GeV]
  • real :: pole --- pole mass [GeV]
  • real :: width --- width [GeV]

NOTES

Evaluates the spectral function of a particle with given mass and gamma at p^nu p_nu= x**2. Normalized to Integral(RelBW) from p**2=(0,infinity)GeV**2 = 1


distributions/BlattWeisskopf [ Functions ]

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NAME

real function BlattWeisskopf(x,l)

NOTES

Returns the function value of the Blatt-Weisskopf-Functions, which govern the momentum dependence of the width of a resonance decaying into AB. See e.g. Effenberger Dr. thesis, page 28

INPUTS

  • real :: x -- = p_ab *R with p_ab = Relative Momentum of outgoing particles AB and R = Interaction-Radius
  • integer :: l -- angular Momentum of outgoing particles AB


distributions/markusPostFormFactor [ Functions ]

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NAME

real function markusPostFormFactor (mass, pole, srts0, lambda)

PURPOSE

See Post's Phd thesis, page 35, eq. (3.22).