Vacuum Polarization Effects on Nuclear Matter and Neutron Stars

Vacuum renormalization of relativistic nuclear field theory is studied for nuclear and neutron star matter in general equilibrium, and neutron stars. It is found that when the coupling constants are tightly constrained by the five saturation properties of nuclear matter, the binding, density, compression modulus, symmetry energy and effective nucleon mass, the theory with or without vacuum renormalization predicts an equation of state that differs in the two cases by only several percent over the entire density range of interest. If the effective mass and compression are not controlled, as in some works, the high density behavior is markedly different. The mass of a neutron star, even at the limiting mass, is not dominated by the dense matter at its center, half the mass being contributed by matter at densities less than about 3 ρ 0 . The hyperon fraction of the limiting mass star is about 20%.

NUCLEAR MATTER
N: MATTER
FIELD THEORETICAL MODEL
COUPLING CONSTANT: RENORMALIZATION
RENORMALIZATION: COUPLING CONSTANT
EFFECT: VACUUM POLARIZATION
VACUUM POLARIZATION: EFFECT
GRAVITATION: BINDING ENERGY
BARYON: DENSITY
NUCLEON: MASS

References(23)

Figures(0)

A Relativistic Many Body Theory of High Density Matter

S.A. Chin
(
- Illinois U., Urbana
)

- Annals Phys. 108 (1977) 301-367
•
DOI:
- 10.1016/0003-4916(77)90016-1

The Relativistic Two Nucleon Problem in Nuclear Matter

C.J. Horowitz
(
- MIT, LNS
)
,
Brian D. Serot
(
- Indiana U.
)

- Nucl.Phys.A 464 (1987) 613,
- Nucl.Phys.A 473 (1987) 760 (erratum)
•
DOI:
- 10.1016/0375-9474(87)90370-8

Neutron Stars in Relativistic Hadron - Quark Models

B.D. Serot
(
- Indiana U.
)
,
H. Uechi
(
- Indiana U.
)

- Annals Phys. 179 (1987) 272-293
•
DOI:
- 10.1016/0003-4916(87)90137-0

Multiple Solutions in Configuration Space in a Chiral Nuclear Model

- Phys.Lett.B 186 (1987) 124-128,
- Phys. Lett. B186 ( 1987) 124-128
•
DOI:
- 10.1016/0370-2693(87)90266-8

Relativistic Calculation of Nuclear Matter and the Nuclear Surface

J. Boguta
(
- Argonne, PHY and
- Illinois U., Chicago
)
,
A.R. Bodmer
(
- Argonne, PHY and
- Illinois U., Chicago
)

- Nucl.Phys.A 292 (1977) 413-428,
- Nucl.Phys.A292 (1977) 413-428 and Preprint - BOGUTA J (REC.JUN 77) 33p
•
DOI:
- 10.1016/0375-9474(77)90626-1

THERMODYNAMIC BEHAVIOR OF NONSTRANGE BARYONIC MATTER

- Nucl.Phys.A 322 (1979) 382-396
•
DOI:
- 10.1016/0375-9474(79)90433-0

THE HYPERON COMPOSITION OF NEUTRON STARS

N.K. Glendenning
(
- LBL, Berkeley
)

- Phys.Lett.B 114 (1982) 392-396,
- Lawrence Berkeley Lab. - LBL-14062 (82,REC.JUL.) 13p
•
DOI:
- 10.1016/0370-2693(82)90078-8

Neutron Stars Are Giant Hypernuclei?

N.K. Glendenning
(
- LBL, Berkeley
)

- Astrophys.J. 293 (1985) 470-493,
- Lawrence Berkeley Lab. - LBL-15976 (84,REC.JUL.) 48p
•
DOI:
- 10.1086/163253

Hyperons in Neutron Stars

N.K. Glendenning
(
- LBL, Berkeley
)

- Z.Phys.A 326 (1987) 57-64,
- Lawrence Berkeley Lab. - LBL-21550 (86,REC.OCT.) 19p,
- Z. Phys. A326 ( 1987) 57-64 and Lawrence Berkeley Lab. - LBL-21550 (86,REC.OCT.) 19p

$\sigma$ Model Calculations of Neutron Rich Nuclear Matter

M. Prakash
(
- SUNY, Stony Brook
)
,
T.L. Ainsworth
(
- SUNY, Stony Brook
)

- Phys.Rev.C 36 (1987) 346-353,
- Phys. Rev. C36 ( 1987) 346-353
•
DOI:
- 10.1103/PhysRevC.36.346

High-spin states in 50 Ti, 52 Cr and 54 Fe

et al.

- Nucl.Phys.A 327 (1979) 295-313
•
DOI:
- 10.1016/0375-9474(79)90261-6

NORMAL AND PION CONDENSED STATES IN NEUTRON STAR MATTER IN A RELATIVISTIC FIELD THEORY CONSTRAINED BY NUCLEAR BULK PROPERTIES. 2.

- Annals Phys. 149 (1983) 22-43,
- Lawrence Berkeley Lab. - LBL-14505 (82,REC.JAN.83) 41p,
- Ann. Phys. ( N.y.) 149 ( 1983) 22-43 and Lawrence Berkeley Lab. - LBL-14505 (82,REC.JAN.83) 41p
•
DOI:
- 10.1016/0003-4916(83)90300-7