conflux.bsg.CoulombFunctions

Functions

gamma_k(k, Z)

generalizedFermiFunction(W, Z, R, k)

Implementation of the generalized Fermi function F_{k-1} according to Behrens et al.

lambda_2(W, Z, R)

lambda_k(W, Z, R, k)

Coulomb function $lambda_k$ as per Behrens et al.

calcQ_k(k, Z, W, beta)

Calculate the Q screening ratio according to Buehring (1984)

calcN2(kappa, Z, W, beta)

Calculate the square of the normalization function according to Buehring (1984)

calcNCoul2(kappa, Z, W)

Calculate the square of the normalization function for a simple point charge, according to Buehring (1984)

calcLambda_k_scr(k, Z, W, beta)

Calculate the screening correction to the $lambda_k$ Coulomb function

Module Contents

conflux.bsg.CoulombFunctions.gamma_k(k, Z)
conflux.bsg.CoulombFunctions.generalizedFermiFunction(W, Z, R, k)

Implementation of the generalized Fermi function F_{k-1} according to Behrens et al.

Parameters:
  • W – Total electron energy in units of its rest mass

  • Z – Proton number of daughter

  • R – nuclear radius in natural units

  • k – absolute value of kappa

conflux.bsg.CoulombFunctions.lambda_2(W, Z, R)
conflux.bsg.CoulombFunctions.lambda_k(W, Z, R, k)

Coulomb function $lambda_k$ as per Behrens et al.

Parameters:
  • W – Total electron energy in units of its rest mass

  • Z – Proton number of daughter

  • k – absolute value of kappa

conflux.bsg.CoulombFunctions.calcQ_k(k, Z, W, beta)

Calculate the Q screening ratio according to Buehring (1984)

Parameters:
  • k – absolute value of kappa

  • Z – Proton number of daughter

  • W – Total electron energy in units of its rest mass

  • beta – screening exponent at r=0

conflux.bsg.CoulombFunctions.calcN2(kappa, Z, W, beta)

Calculate the square of the normalization function according to Buehring (1984)

Parameters:
  • k – absolute value of kappa

  • Z – Proton number of daughter

  • W – Total electron energy in units of its rest mass

  • beta – screening exponent at r=0

  • kappa

conflux.bsg.CoulombFunctions.calcNCoul2(kappa, Z, W)

Calculate the square of the normalization function for a simple point charge, according to Buehring (1984)

Parameters:
  • kappa – absolute value of kappa

  • Z – Proton number of daughter

  • W – Total electron energy in units of its rest mass

conflux.bsg.CoulombFunctions.calcLambda_k_scr(k, Z, W, beta)

Calculate the screening correction to the $lambda_k$ Coulomb function

Parameters:
  • k – absolute value of kappa

  • Z – Proton number of daughter

  • W – Total electron energy in units of its rest mass

  • beta – Screening exponent at r=0