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Prog. Theor. Phys. Vol. 105 No. 4 (2001) pp. 607-626

[ Full Text PDF : FREE ACCESS (349K) ]

Effective YN and YY Interactions and Hyperon-Mixing in Neutron Star Matter

— Y≡Λ Case —

Shigeru Nishizaki, Yasuo Yamamoto* and Tatsuyuki Takatsuka

Faculty of Humanities and Social Sciences, Iwate University
Morioka 020-8550, Japan
*Physics Section, Tsuru University, Tsuru 402-8555, Japan

(Received November 17, 2000)

Abstract:

Effective ΛN and ΛΛ interactions in dense hyperonic nuclear matter are constructed on the basis of the G-matrix calculation with Nijmegen hard-core potentials. With these effective interactions, the mixing of Λ in neutron star matter and the equation of state are analyzed. The Λ-mixed phase is shown to appear in neutron star cores with a baryon number density ρ\gsimρt(Λ)≃(3-5)ρ0, where ρt(Λ) is the threshold density for the Λ-mixing and ρ0 is the normal nuclear matter density. The density ρt(Λ) depends not only on the ΛN but also on the NN interactions. The three-body force introduced in the NN interaction to reproduce the proper nuclear saturation properties enhances the Λ-mixing and drastically softens the equation of state. The resulting equation of state is not consistent with the observed neutron star mass M obs=1.44M⊙. It is found that this crucial problem can be resolved by the introduction of a three-body repulsion also for the ΛN and ΛΛ interactions. The finite-temperature effect on the Λ-mixing is found to be large, especially at lower densities and is expected to affect the properties of neutron stars at birth.


URL : http://ptp.ipap.jp/link?PTP/105/607/
DOI : 10.1143/PTP.105.607

[ Full Text PDF : FREE ACCESS (349K) ] Citation:

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