matter.setupFFG

nucleardatapy.matter.setup_ffg.cs2_nr(kf)[source]

Free Fermi gas sound speed as a function of the Fermi momentum.

Parameters:: kf (float or numpy vector of real numbers.) – Fermi momentum.

nucleardatapy.matter.setup_ffg.den(kf)[source]

Density as a function of the Fermi momentum.

Parameters:: kf_n (float or numpy vector of real numbers.) – Fermi momentum.

nucleardatapy.matter.setup_ffg.den_n(kf_n)[source]

Neutron density as a function of the neutron Fermi momentum.

Parameters:: kf_n (float or numpy vector of real numbers.) – neutron Fermi momentum.

nucleardatapy.matter.setup_ffg.eF_n(kf_n)[source]

Neutron Fermi energy as a function of the neutron Fermi momentum.

Parameters:: kf_n (float or numpy vector of real numbers.) – neutron Fermi momentum.

nucleardatapy.matter.setup_ffg.eF_n_nr(kf_n)[source]

Non-relativistic neutron Fermi energy as a function of the neutron Fermi momentum.

Parameters:: kf_n (float or numpy vector of real numbers.) – neutron Fermi momentum.

nucleardatapy.matter.setup_ffg.effg_NM_nr(kf_n)[source]

Free Fermi gas energy as a function of the neutron Fermi momentum.

Parameters:: kf_n (float or numpy vector of real numbers.) – neutron Fermi momentum.

nucleardatapy.matter.setup_ffg.effg_SM_nr(kf)[source]

Free Fermi gas energy as a function of the Fermi momentum in SM.

Parameters:: kf (float or numpy vector of real numbers.) – neutron Fermi momentum.

nucleardatapy.matter.setup_ffg.effg_nr(kf)[source]

Free Fermi gas energy as a function of the Fermi momentum.

Parameters:: kf (float or numpy vector of real numbers.) – Fermi momentum.

nucleardatapy.matter.setup_ffg.esymffg_nr(kf)[source]

Free Fermi gas symmetry energy as a function of the Fermi momentum.

Parameters:: kf (float or numpy vector of real numbers.) – Fermi momentum.

nucleardatapy.matter.setup_ffg.kf(den)[source]

Fermi momentum as a function of the density.

Parameters:: den (float or numpy vector of real numbers.) – density.

nucleardatapy.matter.setup_ffg.kf_n(den_n)[source]

Neutron Fermi momentum as a function of the neutron density.

Parameters:: den_n (float or numpy vector of real numbers.) – neutron density.

nucleardatapy.matter.setup_ffg.pre_nr(kf)[source]

Free Fermi gas pressure as a function of the Fermi momentum.

Parameters:: kf (float or numpy vector of real numbers.) – Fermi momentum.

class nucleardatapy.matter.setup_ffg.setupFFGLep(den_el, den_mu)[source]

Instantiate the object with free Fermi gas (FFG) quantities.

Parameters:

den (float or numpy vector of floats.) – density or densities for which the FFG quantities are calculated.
delta (float or numpy vector of floats.) – isospin density or densities for which the FFG quantities are calculated.

Attributes:

Parameters:

den_e (float or numpy array of floats.)
component. (Density or densities for the muon)
den_mu (float or numpy array of floats.)
component.

den_el: Attribute electron density

den_lep: Attribute lepton density

den_mu: Attribute muon density

eF_el: Attribute electon Fermi energy (degeneracy = 2)

eF_mu: Attribute muon Fermi energy (degeneracy = 2)

h2n_el: Attribute enthalpy

kf_el: Attribute electron Fermi momentum (degeneracy = 2)

kf_mu: Attribute muon Fermi momentum (degeneracy = 2)

label: Attribute providing the label the data is references for figures.

note: Attribute providing additional notes about the data.

pre_el: Attribute FFG pressure (degeneracy = 2)

print_outputs()[source]: Method which print outputs on terminal’s screen.

x_el: Attribute electron fraction

x_mu: Attribute muon fraction

class nucleardatapy.matter.setup_ffg.setupFFGNuc(den, delta, ms=1.0)[source]

Instantiate the object with free Fermi gas (FFG) quantities.

Parameters:

den (float or numpy vector of floats.) – density or densities for which the FFG quantities are calculated.
delta (float or numpy vector of floats.) – isospin density or densities for which the FFG quantities are calculated.

Attributes:

Parameters:

den (float or numpy array of floats.)
calculated. (Isospin density or densities for which the FFG quantities are)
delta (float or numpy array of floats.)
calculated.
ms (effective mass in unit of mass.)

delta: Attribute isospin parameter

den: Attribute isoscalar density

den_n: Attribute neutron density

den_p: Attribute proton density

e2a_rm: Attribute rest mass energy per particle (degeneracy = 2)

eF_n: Attribute neutron Fermi energy (degeneracy = 2)

eF_p: Attribute proton Fermi energy (degeneracy = 2)

eps_int: Attribute FFG energy per unit volum (degeneracy = 2)

esym2_nr: Attribute FFG quadratic contribution to the symmetry energy

esym4_nr: Attribute FFG quartic contribution to the symmetry energy

esym_nr: Attribute FFG symmetry energy (degeneracy = 2)

h2a: Attribute enthalpy

kf_n: Attribute neutron Fermi momentum (degeneracy = 2)

kf_nuc: Attribute Fermi momentum for a Fermi system with degeneracy = 4

kf_p: Attribute proton Fermi momentum (degeneracy = 2)

label: Attribute providing the label the data is references for figures.

ms: Attribute the effective mass in unit of mass.

note: Attribute providing additional notes about the data.

pre: Attribute FFG pressure (degeneracy = 2)

print_outputs()[source]: Method which print outputs on terminal’s screen.

Here are a set of figures which are produced with the Python sample: /nucleardatapy_sample/matter_setupFFGNuc_plot.py

map to buried treasure — This figure shows the free Fermi gas energy (top) and pressure (bottom) in symmetric matter (SM) (Blue solid line) and neutron matter (NM) (orange dashed line) as function of the particle density (left) and Fermi momentum (right).