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arXiv 0906.4831nucl-th
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~(208)Pb巨四极共振强度函数的涨落特性

Fluctuation properties of strength function associated with the giant quadrupole resonance in 208Pb

Hirokazu Aiba, Masayuki Matsuo, Shigeru Nishizaki, Toru Suzuki

摘要:

利用局域标度维数对208 Pb中的Isoscillation(IS)巨四极共振(GQR)强度函数进行了涨落分析,其中的强度函数是通过壳模型计算得到的,包括1 p1 h和2 p2 h组态.结果表明,在几乎所有的能量尺度下,强度函数的涨落都服从高斯正交系综(GOE)随机矩阵理论的极限。这与40 Ca中的GQR的结果形成对比,在40 Ca中,在中间能量标度约1.7 MeV处检测到与GOE极限的偏差。结果发现,这种不同的行为的局部标度维数的物理起源归因于阻尼过程的性质的差异。

英文摘要:

We performed fluctuation analysis by means of the local scaling dimension for the strength function of the isoscalar (IS) giant quadrupole resonance (GQR) in 208Pb where the strength function is obtained by the shell model calculation including 1p1h and 2p2h configurations. It is found that at almost all energy scales, fluctuation of the strength function obeys the Gaussian orthogonal ensemble (GOE) random matrix theory limit. This is contrasted with the results for the GQR in 40Ca, where at the intermediate energy scale about 1.7 MeV a deviation from the GOE limit was detected. It is found that the physical origin for this different behavior of the local scaling dimension is ascribed to the difference in the properties of the damping process.

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