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/baryonPotentialModule [ Modules ]

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NAME

module baryonPotentialModule

PURPOSE

Includes all information about the baryonic potentials. Note: Only the non-relativistic case of Skyrme-like mean fields is treated here. For relativistic mean fields, see RMF.f90.


baryonPotentialModule/EQS_Type [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Switch for equation of state for nucleon resonances with spin 1/2.

Parameters for nucleon potentials:

  • 0 = nucleon potential is set to zero
  • 1 = soft, momentum dependent, lambda = 2.130 (Teis PhD, K = 215 MeV)
  • 2 = hard, momentum dependent, lambda = 2.126 (Teis PhD, K = 380 MeV)
  • 3 = soft, momentum independent (Teis PhD, K = 215 MeV)
  • 4 = hard, momentum independent (Teis PhD, K = 380 MeV)
  • 5 = medium, momentum dependent, lambda = 2.130 (Teis PhD, K = 290 MeV)
  • 6 = LDA potential (Birger Steinmueller)
  • 7 = Deuterium potential Argonne V18 (not usable for eventtypes 'heavyIon' and 'hadron')
  • 8 = LDA Potential Welke
  • 9 = Buss PhD, Set#1 (K = 220 MeV, momentum dependent)
  • 10 = Buss PhD, Set#2 (K = 220 MeV, momentum dependent)
  • 11 = Buss PhD, Set#3 (K = 220 MeV, momentum dependent)
  • 12 = Shanghai meeting 2014 (soft, momentum independent, K = 240 MeV)
  • 13 = slightly modified Cooper potential, central depth = - 67.5 MeV at p=0 (see #14)
  • 14 = Potential fitted by Cooper et al, Fig. 6 in PRC 47 (1993) 297
  • 98 = use pre-stored values
  • 99 = variable Skyrme : E_bind, p_0, U_0, rho_0 must be defined!

NOTES

References:

  • for 1-5, see the PhD thesis of S. Teis, chapter 3.3.2 / table 3.1
  • for 9-11, see the PhD thesis of O. Buss, chapter 7.2.3 / table 7.1

SOURCE

  integer, save :: EQS_Type = 5

baryonPotentialModule/symmetryPotFlag [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Switch for the asymmetry term in the nucleon potential.

SOURCE

  integer, save :: symmetryPotFlag = 0

NOTES

Possible values:

  • 0 = none (default)
  • 1 = linear (strength given by 'dsymm')
  • 2 = stiffer, Esym=Esym_rho_0*U^gamma=31.*U^gamma, gamma=2
  • 3 = stiff, linear increasing Esym=Esym_rho_0*U=31.*U
  • 4 = soft, U_c=3, can give negative Esym=Esym_rho_0*U*(U_c-U)/(U_c-1)


baryonPotentialModule/symmetryPotFlag_Delta [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Switch for the asymmetry term in the Delta potential.

SOURCE

  logical, save :: symmetryPotFlag_Delta = .false.

NOTES

If .true., a symmetry potential will be used also for the Delta (but only if symmetryPotFlag>0). It is closely related to the symmetry potential of the nucleon.


baryonPotentialModule/dsymm [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

SOURCE

  real, save :: dsymm = 0.03

PURPOSE

Parameter for symmetry potential in GeV.

NOTES

Value is only used for symmetryPotFlag = 1


baryonPotentialModule/SurfacePotFlag [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Switch for the surface term in the nucleon potential.

SOURCE

  logical, save :: SurfacePotFlag = .false.

NOTES

  • Do not use it together with yukawa!


baryonPotentialModule/noPerturbativePotential [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Switch for potential of perturbative particles. If .true. then perturbative baryons feel no potential.

SOURCE

  logical,save :: noPerturbativePotential=.false.

baryonPotentialModule/DeltaPot [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Switch for potential of spin=3/2 resonances:

  • 0 = no potential
  • 1 = nucleon (spin=1/2) potential times 2/3 [according to Ericson/Weise book]
  • 2 = 100 MeV * rho/rhoNull
  • 3 = nucleon (spin=1/2) potential

SOURCE

  integer, save :: DeltaPot = 1

baryonPotentialModule/HypPot [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Switch for potential of hyperons:

  • 0 = no potential
  • 1 = nucleon (spin=1/2) potential times (3+S)/3 (i.e. according to the share of the light quarks)
  • 2 = nucleon (spin=1/2) potential

SOURCE

  integer, save :: HypPot = 1

baryonPotentialModule/rho_0 [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Nuclear matter density for EQS_Type=99

SOURCE

  real, save :: rho_0=0.16

NOTES

  • Units : fm^{-3}


baryonPotentialModule/p_0 [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

momentum for which U(p_0,rho=rho_0)=0 for EQS_Type=99

SOURCE

  real, save :: p_0 =0.8

NOTES

  • Units : GeV


baryonPotentialModule/U_0 [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

U(p=0,rho=rho_0) for EQS_Type=99

SOURCE

  real, save :: U_0 =0.075

NOTES

  • Units : GeV


baryonPotentialModule/bindingEnergy [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Nuclear matter binding energy for EQS_Type=99

SOURCE

  real, save :: bindingEnergy=0.016

NOTES

  • Units : GeV


baryonPotentialModule/compressibility [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

Nuclear matter compressibility for EQS_Type=99

SOURCE

  real, save :: compressibility=0.290

NOTES

  • Units : GeV


baryonPotentialModule/nLoopReAdjust [ Global module-variables ]

[ Top ] [ baryonPotentialModule ] [ Global module-variables ]

PURPOSE

number of iterations, if density is readjusted (cf. type(nucleus)%ReAdjustForConstBinding)

SOURCE

  integer, save :: nLoopReAdjust = 10

NOTES

It is necessary to reiterate (at least for momentum dependent potentials), since we calculate the potential for a given pF and then calculate for the radjusting a new pF.


baryonPotentialModule/baryonPotential [ Namelists ]

[ Top ] [ baryonPotentialModule ] [ Namelists ]

NAME

NAMELIST /baryonPotential/

PURPOSE

Includes the following switches:


baryonPotentialModule/symEn_nuc [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

real function symEn_nuc(Q, med)

PURPOSE

Returns the symmetry energy for a nucleon of charge Q at the given density. Different parametrizations can be chosen via the switch 'symmetryPotFlag'.

INPUTS

OUTPUT

  • return value: symmetry energy in GeV


baryonPotentialModule/symEn_Delta [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

real function symEn_Delta(Q, med)

PURPOSE

Returns the symmetry energy for a Delta of charge Q (related to symEn_nuc).

INPUTS

OUTPUT

  • return value: symmetry energy in GeV


baryonPotentialModule/BaryonPotential [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

function BaryonPotential(teilchen, med, positionNotSet, EQS_in)

INPUTS

  • type(particle) :: teilchen -- boosted to LRF
  • type(medium) :: med -- medium information
  • logical :: positionNotSet -- .true. : %position of particle is not well defined
  • integer, OPTIONAL :: EQS_in -- If present, then we use EQS_in as EQS type, if not present then EQS is chosen according to EQS_Type.

Some routines like Yukawa might need the position of the particle, and not only the densities. Therefore, the positionNotSet-flag is used to check whether the position is actually set. If e.g. Yukawa is used and the position is not set, then the code stops.

NOTES

Baryon potential is defined as 0th component of a vector potential in the LRF.


baryonPotentialModule/variableSkyrme [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

real function variableSkyrme(rho,p)

PURPOSE

  • This function evaluates a variable Skyrme mean field potential
  • It's variable in the sense, that the potential parameters are no longer fixed by the above tables "alpha", "beta",... They are evaluated based on the input values of rhoNull, p_0, u_0, bindingEnergy and compressibility!

INPUTS

  • real :: rho -- Density in GeV**3
  • real :: p -- Momentumin GeV

OUTPUT

NOTES

  • This function is initializing the potential parameters when its called for the first time.
  • See Oliver's Phd thesis appendix A.4
  • Stops the code if there is no solution for the parameters.


baryonPotentialModule/momentumDependentPart [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

real function momentumDependentPart(pin,c,lambda,rho,pF_in)

PURPOSE

This function provides the analytical momdep. potential.

INPUTS

  • real :: pIn -- absolute momentum in GeV in LRF
  • real :: c -- parameter of potential
  • real :: lambda -- parameter of potential
  • real :: rho -- baryon density in LRF
  • real, OPTIONAL :: pF_in -- value of fermi mom to use (in GeV)

NOTES

see effenberger, dr.-thesis, pages 14-16


baryonPotentialModule/rhoLaplace [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

function rhoLaplace(rvec,a)

PURPOSE

Calculates div(grad(rho))


baryonPotentialModule/LDApotential(teilchen) [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

function LDApotential(teilchen)

PURPOSE

Calculates the Potential for a nucleus initialised with the LDA approach


baryonPotentialModule/LDApotentialWelke(teilchen) [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

function LDApotentialWelke(teilchen)

PURPOSE

Calculates the Potential for a nucleus initialised with the LDA approach and additionally a momentum dependent part


baryonPotentialModule/SurfacePart [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

function SurfacePart(teilchen,spar)

PURPOSE

Determines the surface contribution to the total baryon potential

INPUTS

  • type(particle) :: teilchen -- particle, in a position of which grad(\nabla\rho) has to be calculated.
  • real :: spar -- Parameter of surface part of baryon potential

OUTPUT

real :: SurfacePart


baryonPotentialModule/rearrangementPotential [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

real function rearrangementPotential(teilchen, med)

PURPOSE

Returns the value of the rearrangement potential.

INPUTS

  • type(particle) :: teilchen -- particle whose rearrangement potential should be calculated. It should be boosted to LRF. The position of the particle must be set!!!
  • type(medium) :: med -- density information

OUTPUT

function value

NOTES

Notation according to Teis Dr.-thesis. Pages 76-78.

This is *not* the rearrangement potential, but the expression

   -(1/2 U_b + U_r)

which is needed to calculate the binding energy correctly.


baryonPotentialModule/HandPotentialToDensityStatic [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

subroutine HandPotentialToDensityStatic(nuc)

PURPOSE

This routine tabulates the proton and neutron density as a function of the radius. It also tabulates the Coulomb potential and the baryon potentials for protons and neutrons *for the corresponding Fermi momentum*. With this, the routine which actually readjusts the density according constant Fermi energy is called. This is repeated several times, until some convergence is believed to happen. (This is necessary, since the local thomas fermi momentum depends on the density.) (Also Coulomb depends on the density, but this is of minor importance here.) If the potential is not momentum dependent, no iteration would be necessary.

Some complications are due to the calculation of the baryon potential in baryonPotentialModule/BaryonPotential and the used tabulations.

INPUTS

OUTPUT

  • The potential at input is frozen and stored in a r dependent grid
  • EQS_Type is set to 98
  • The static density is adjusted.


baryonPotentialModule/getNoPertPot_baryon [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

logical function getNoPertPot_baryon

PURPOSE

Returns the flag noPerturbativePotential


baryonPotentialModule/getsymmetryPotFlag_baryon [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

logical function getsymmetryPotFlag_baryon

PURPOSE

Returns the flag symmetryPotFlag


baryonPotentialModule/getPotentialEQSType [ Functions ]

[ Top ] [ baryonPotentialModule ] [ Functions ]

NAME

integer function getPotentialEQSType

PURPOSE

Returns the EQS type of the potential (0 = no potential)