Deformation effect on spectral statistics of nuclei

被引：3

作者：

Sabri, H. ^{[1
]}

Majarshin, A. Jalili ^{[1
]}

机构：

[1] Univ Tabriz, Dept Phys, Tabriz 51664, Iran

来源：

NUCLEAR PHYSICS A | 2018年 / 970卷

关键词：

Deformed nuclei; Spectral statistics; Quadrupole; octupole; hexadecapole and hexacontatetrapole deformations; Nilsson perturbed-spheroid parameterization; Random matrix theory (RMT); Maximum Likelihood Estimation (MLE); Gaussian Orthogonal Ensemble (GOE); SHELL-MODEL; LEVEL DENSITIES; QUANTUM SPECTRA; CHAOS; DEPENDENCE; INCLUSION; SPACINGS; SYSTEMS; PHYSICS;

D O I：

10.1016/j.nuclphysa.2017.11.002

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

In this study, we tried to get significant relations between the spectral statistics of atomic nuclei and their different degrees of deformations. To this aim, the empirical energy levels of 109 even even nuclei in the 22 <= A <= 196 mass region are classified as their experimental and calculated quadrupole, octupole, hexadecapole and hexacontatetrapole deformations values and analyzed by random matrix theory. Our results show an obvious relation between the regularity of nuclei and strong quadrupole, hexadecapole and hexacontatetrapole deformations and but for nuclei that their octupole deformations are nonzero, we have observed a GOE-like statistics. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：29 / 43

页数：15

共 55 条

[1] Statistical analysis of composite spectra [J].

Abul-Magd, AY ;

Harney, HL ;

Simbel, MH ;

Weidenmüller, HA .

ANNALS OF PHYSICS, 2006, 321 (03) :560-580

[2] Level statistics of deformed even-even nuclei [J].

Al-Sayed, A. ;

Abul-Magd, A. Y. .

PHYSICAL REVIEW C, 2006, 74 (03)

[3] The effect of nuclear deformation on level statistics [J].

Al-Sayed, A. .

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2009,

[4] NEAREST-NEIGHBOR LEVEL SPACING DISTRIBUTIONS - ON THE TRANSITION FROM THE REGULAR TO THE CHAOTIC REGIMES [J].

ALHASSID, Y ;

LEVINE, RD .

PHYSICAL REVIEW A, 1989, 40 (09) :5277-5283

[5] Parity dependence of nuclear level densities [J].

Alhassid, Y ;

Bertsch, GF ;

Liu, S ;

Nakada, H .

PHYSICAL REVIEW LETTERS, 2000, 84 (19) :4313-4316

[6] Nuclear level statistics: Extending shell model theory to higher temperatures [J].

Alhassid, Y ;

Bertsch, GF ;

Fang, L .

PHYSICAL REVIEW C, 2003, 68 (04) :443221-4432211

[7] The statistical theory of quantum dots [J].

Alhassid, Y .

REVIEWS OF MODERN PHYSICS, 2000, 72 (04) :895-968

[8] CHAOS IN NUCLEI WITH BROKEN PAIRS [J].

ALHASSID, Y ;

VRETENAR, D .

PHYSICAL REVIEW C, 1992, 46 (04) :1334-1338

[9] SEMICLASSICAL LEVEL SPACINGS WHEN REGULAR AND CHAOTIC ORBITS COEXIST [J].

BERRY, MV ;

ROBNIK, M .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (12) :2413-2421

[10] LEVEL CLUSTERING IN REGULAR SPECTRUM [J].

BERRY, MV ;

TABOR, M .

PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 356 (1686) :375-394

← 1 2 3 4 5 6 →