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A List of Notations

A mass number
AAA electromagnetic potential vector
a0 Bohr radius
BBB, B magnetic field
c speed of light
cs speed of sound
k Δ (kk) wave number dependent pairing gap
ΔF pairing gap at the Fermi level Δ (kkkFFF)
dn interneutron spacing
dυ intervortex spacing
E {A,Z } energy of a nucleus of mass number A and charge number Z
e proton electric charge
η shear viscosity
ε single particle energy
εF Fermi energy
ɛ energy density
ℱℱℱ force per unit length
fff force density
fμ 4-force density
G gravitational constant
γ adiabatic index
ℏ Dirac constant
h Planck constant
I moment of inertia
J angular momentum
kkk wave vector
k wave number
kB Boltzman constant
kF Fermi wavenumber
κ thermal conductivity (Section 9)
κ κκ,κ circulation of a vortex (Section 8)
Λ Lagrangian density (Section 10)
μ shear modulus
μe electron chemical potential
μ n neutron chemical potential
μp proton chemical potential
M neutron star gravitational mass
M ⊙ solar mass
m mass
m ⋆ c dynamic effective mass of confined nucleons in neutron star crust
me electron mass
∗ m e electron (relativistic) effective mass in dense matter
m ⋆f dynamic effective mass of the free neutrons in neutron star crust
mn neutron mass
m ∗ n neutron effective mass in dense matter
mp proton mass
mu atomic mass unit

n number density of particles
n b number density of baryons
nc number density of confined nucleons in neutron star crust
ne number density of electrons
nf number density of free neutrons in neutron star crust
nn number density of neutrons
nN number density of nuclei (ions)
np number density of protons
nυ surface density of vortex lines
Ω angular velocity
π μ momentum 4-covector
P pressure
ppp,p momentum
pF Fermi momentum
pFe electron Fermi momentum
ϕ single particle wave function
ρ mass density
ρND neutron drip density
rg Schwarzschild radius
rυ radius of a superfluid vortex core
R neutron star circumferential radius
Rcell radius of a Wigner–Seitz sphere
σ surface thermodynamic potential (Section 3)
σ electric conductivity (Section 9)
σ Poisson coefficient (Section 7)
σ ij elastic stress tensor
σmax breaking strain
σs surface tension
T temperature
Tc critical temperature
TF Fermi temperature
TFe electron Fermi temperature
Tm melting temperature
Tpe electron plasma temperature
T pi ion plasma temperature
∞ Ts effective surface temperature as seen by a distant observer
μ T ν stress-energy tensor
𝒱cell volume of the Wigner–Seitz cell
𝒱N volume of the proton cluster
v F Fermi velocity
vFe electron Fermi velocity
vvv velocity
vvvυυυ vortex velocity
vvvfff velocity of neutron superfluid in neutron star crust
vvv ccc velocity of confined nucleons in neutron star crust
w volume fraction occupied by nuclear clusters
ξ coherence length
xr relativity parameter
Z charge (proton) number
ζ bulk viscosity


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