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Prog. Theor. Phys. Vol. 108 No. 4 (2002) pp. 703-718
Hyperon-Mixed Neutron Star Matter and Neutron Stars*
Shigeru Nishizaki,1
Yasuo Yamamoto2 and
Tatsuyuki Takatsuka1
1Faculty of Humanities and Social Sciences,
Iwate University, Morioka 020-8550, Japan
2Physics Section, Tsuru University, Tsuru 402-8555, Japan
(Received December 23, 2001)
Abstract:
Effective Σ- n and Σ-Σ- interactions are
derived from the G-matrix calculations for {n+Σ-} matter
and employed in the investigation of hyperon mixing in neutron star
matter. The threshold densities ρt(Y) at which hyperons start
to appear are between 2ρ0 and 3ρ0 (where ρ0 is
the normal nuclear density)
for both Λ and Σ-, and their fractions increase rapidly
with baryon density, reaching 10% already
for ρ≃ρt+ρ0.
The mechanism of hyperon mixing and single-particle properties,
such as the effective mass and the potential depth, are analyzed
taking into account the roles of YN and NN interactions.
The resulting equation of state is found to be
too soft to sustain the observed neutron star mass
M obs=1.44M⊙.
We discuss the reason for this and stress the necessity of
the “extra repulsion”
for YN and YY interactions to resolve this crucial problem.
It is remarked that ρt(Y) would be as large as 4ρ0
for neutron stars compatible with M obs.
A comment is given regarding the effects on the Y-mixing problem
from a less attractive ΛΛ interaction, newly suggested by
the NAGARA event.
URL :
http://ptp.ipap.jp/link?PTP/108/703/
DOI : 10.1143/PTP.108.703
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