K. Kobayashi and S. Tsumura
K. Kobayashi and S. Tsumura
K. Kobayashi and S. Tsumura
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which can be written in a form<br />
where<br />
Roots of Eq.(80) are<br />
p = λX<br />
2<br />
<br />
q = λIλX<br />
ω 2 +2pω + q =0, (80)<br />
1+η 1 + λI<br />
<br />
λX<br />
1+η 1 + (ˆγ I + ˆ<br />
− ηG <br />
1 (β1 − ˆγ X)<br />
, (81)<br />
∆1 + ∆12<br />
γX − β1)ηG <br />
1<br />
. (82)<br />
∆1 + ∆12<br />
<br />
ω1 = −p + i q − p2 <br />
, ω2 = −p − i q − p2 , (83)<br />
<strong>and</strong> a damping time is given by 1/p, <strong>and</strong> period T is given by<br />
T =<br />
2π<br />
√ . (84)<br />
q − p2 As seen in Eq.(83) <strong>and</strong> (100), the condition for occurrence of xenon oscillations is<br />
q − p 2 > 0. (85)<br />
Substituting Eqs.(81) <strong>and</strong> (82) into Eq.(85), this condition is written as<br />
where<br />
<br />
a = 1+η1 − λI<br />
λX<br />
a(∆1 + ∆12) 2 +2b(∆1 + ∆12)+c
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