Medium Effect in S-shell Double- $$\Lambda $$ Λ Hypernuclei and Hyperon Superfluidity in Neutron Star Cores
2021
The effective $$\Lambda $$
-
$$\Lambda $$
interaction energies in s-shell double-
$$\Lambda $$
hypernuclei, $$^{6}_{\Lambda \Lambda }\text {He}$$
, $$^{5}_{\Lambda \Lambda }\text {He}$$
and $$^{5}_{\Lambda \Lambda }\text {H}$$
have been investigated by solving three-body system (
$$\Lambda $$
+ $$\Lambda $$
+ core) within the framework of coupled rearrangement channel Gaussian basis treatment. The Nijmegen soft-core potential models, NSC97d, NSC97e and NSC97f, have been applied for free-space $$\Lambda $$
-
$$\Lambda $$
interaction. By taking into account the medium effects, it was adjusted to fit the experimental $$\Lambda $$
-
$$\Lambda $$
interaction energies of $$^{6}_{\Lambda \Lambda }\text {He}$$
(0.67 ± 0.17 MeV). The effective $$\Lambda $$
-
$$\Lambda $$
interaction energies of $$^{5}_{\Lambda \Lambda }\text {He}$$
are 0.92 MeV, 0.88 MeV, 0.86 MeV for each potential model and that of $$^{5}_{\Lambda \Lambda }\text {H}$$
is 0.6 MeV for all potential modes. Moreover, the $$\Lambda $$
-superfludity in the neutron star cores which is related to cooling process has also been investigated by applying our constructed effective $$\Lambda $$
-
$$\Lambda $$
NSC97e potential of $$^{6}_{\Lambda \Lambda }\text {He}$$
. It is found that $$\Lambda $$
superfludity begins to appear when the interaction strength is 1.5 times more attractive than our constructed interaction. The $$\Lambda $$
-superfluidity in the neutron star cores might occur at the hyperon percentage $$Y_\Lambda $$
(1%–5%), and vanish at $$Y_\Lambda $$
(15%– 20%).
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