From super-charged nuclei to massive nuclear density cores

Journal Article · Wed Mar 24 04:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3382318· OSTI ID:21371320

Popov, Vladimir ^[1]

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1. Institute of Theoretical and Experimental Physics 117218 Moscow (Russian Federation)

Due to e{sup +}e{sup -}-pair production in the field of supercritical (Z>>Z{sub cr}{approx_equal}170) nucleus an electron shell, created out of the vacuum, is formed. The distribution of the vacuum charge in this shell has been determined for super-charged nuclei Z{sub e}{sup 3} > or approx. 1 within the framework of the Thomas-Fermi equation generalized to the relativistic case. For Z{sub e}{sup 3}>>1 the electron shell penetrates inside the nucleus and almost completely screens its charge. Inside such nucleus the potential takes a constant value equal to V{sub 0} = -(3{pi}{sup 2}n{sub p}){sup 1/3}approx-2m{sub {pi}}c{sup 2}, and super-charged nucleus represents an electrically neutral plasma consisting of e, p and n. Near the edge of the nucleus a transition layer exists with a width {lambda}{approx_equal}{alpha}{sup -1/2}h-bar/m{sub {pi}}c{approx}15 fm, which is independent of Z(h-bar/m{sub {pi}}c<<lambda<<h-bar/m{sub e}c). The electric field and surface charge are concentrated in this layer. These results, obtained earlier for hypothetical superheavy nuclei with Z{approx}A/2 < or approx. 10{sup 4} divide 10{sup 6}, are extrapolated to massive nuclear density cores having a mass number A{approx_equal}(m{sub Planck}/m{sub n}){approx}10{sup 57}. The problem of the gravitational and electrodynamical stability of such objects is considered. It is shown that for A > or approx. 0.04(Z/A){sup 1/2}(m{sub Planck}/m{sub n}){sup 3} the Coulomb repulsion of protons, screened by relativistic electrons, can be balanced by gravitational forces. The overcritical electric fields E{approx}m{sup 2}{sub {pi}}c{sup 3}/eh-bar are present in the narrow transition layer near the core surface.

• OSTI ID: 21371320
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1205; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANTILEPTONS
ANTIMATTER
ANTIPARTICLES
ATOMIC MODELS
BARYONS
COULOMB FIELD
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
ELECTRIC FIELDS
ELECTRON-ELECTRON INTERACTIONS
ELECTRONS
ELEMENTARY PARTICLES
ELEMENTS
ENERGY RANGE
EQUATIONS
FERMIONS
FIELD EQUATIONS
HADRONS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
LEPTONS
MATHEMATICAL MODELS
MATTER
NUCLEAR MATTER
NUCLEAR MODELS
NUCLEAR SCREENING
NUCLEONS
PAIR PRODUCTION
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
PARTICLE PRODUCTION
POSITRONS
POTENTIALS
PROTONS
RELATIVISTIC RANGE
SHELL MODELS
THOMAS-FERMI MODEL
TRANSACTINIDE ELEMENTS
TRANSPLUTONIUM ELEMENTS
TRANSURANIUM ELEMENTS
WAVE EQUATIONS