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In this article the statistical properties of symmetrical random matrices whose elements are drawn from a q-parameterized non-extensive statistics power-law distribution are investigated. In the limit as q->1 the well known Gaussian…

统计力学 · 物理学 2007-05-23 John Evans , Fredrick Michael

For both reactions we use an approach similar to that of compound-nucleus reaction theory. For neutron-induced fission, we describe the compound system generated by absorption of the neutron and the nuclear system near the scission point as…

核理论 · 物理学 2024-11-26 Hans A. Weidenmüller

Statistical properties of cross sections are studied for an open system of interacting fermions. The description is based on the effective non-Hermitian Hamiltonian that accounts for the existence of open decay channels preserving the…

无序系统与神经网络 · 物理学 2014-07-29 G. L. Celardo , F. M. Izrailev , V. G. Zelevinsky , G. P. Berman

In this article the statistical properties of symmetrical random matrices whose elements are drawn from a q-parametrized non-extensive statistics power-law distribution are investigated. In the limit as q->1 the well known Gaussian…

统计力学 · 物理学 2007-05-23 John Evans , Fredrick Michael

This article describes an original approach to analyze simultaneously cross sections and surrogate data measurements using efficient Monte Carlo extended $\mathcal{R}$-matrix theory algorithm based on unique set of nuclear structure…

核理论 · 物理学 2020-01-01 O. Bouland , B. Jurado

Astrophysical reaction rates, which are mostly derived from theoretical cross sections, are necessary input to nuclear reaction network simulations for studying the origin of $p$ nuclei. Past experiments have found a considerable difference…

We show that spectral fluctuation of interaction matrices of yeast a core protein interaction network and a metabolic network follows the description of the Gaussian orthogonal ensemble (GOE) of random matrix theory (RMT). Furthermore, we…

分子网络 · 定量生物学 2009-11-11 Feng Luo , Jianxin Zhong , Yunfeng Yang , Richard H. Scheuermann , Jizhong Zhou

We construct an analytical model derived from nuclear reaction theory and having a simple functional form to demonstrate the quantitative agreement with the measured cross sections for neutron induced reactions. The neutron-nucleus total,…

核理论 · 物理学 2011-05-02 Tapan Mukhopadhyay , Joydev Lahiri , D. N. Basu

The newly published data on spin density matrix elements from the GlueX Collaboration, along with the previously released differential cross-section data from the CLAS Collaboration and the other two experiments for the $\gamma p \to \rho^0…

高能物理 - 唯象学 · 物理学 2025-02-18 Ai-Chao Wang , Neng-Chang Wei , Fei Huang

The $^3{\rm H}(d,n)^4{\rm He}$ reaction is of significant interest in nuclear astrophysics and nuclear applications. It is an important, early step in big-bang nucleosynthesis and a key process in nuclear fusion reactors. We use one- and…

核理论 · 物理学 2022-02-09 Daniel Odell , Carl Brune , Daniel Phillips

We construct a relativistic and unitary approach to 'high' energy pion- and photon-nucleon reactions taking the $\pi N, \pi \Delta$, $\rho N$, $\omega N$, $\eta N, K \Lambda, K \Sigma$ final states into account. Our scheme dynamically…

核理论 · 物理学 2010-12-16 M. F. M. Lutz , Gy. Wolf , B. Friman

We study spectral behavior of sparsely connected random networks under the random matrix framework. Sub-networks without any connection among them form a network having perfect community structure. As connections among the sub-networks are…

统计力学 · 物理学 2015-05-13 Sarika Jalan

We study the time dynamics of random density matrices generated by evolving the same pure state using a Gaussian orthogonal ensemble (GOE) of Hamiltonians. We show that the spectral statistics of the resulting mixed state is well described…

We consider interference effects between p-wave resonance scattering amplitude and background s-wave amplitude in low-energy neutron scattering from a heavy nucleus which goes through the compound nucleus stage. The first effect is in the…

核理论 · 物理学 2009-08-18 J. C. Berengut , V. V. Flambaum , G. F. Gribakin

Embedded random matrix ensembles are generic models for describing statistical properties of finite isolated quantum many-particle systems. For the simplest spinless fermion (or boson) systems with say $m$ fermions (or bosons) in $N$ single…

数学物理 · 物理学 2015-06-23 V. K. B. Kota

Motivated by the renewed interest in the surrogate nuclear reactions approach, an indirect method for determining compound-nuclear reaction cross sections, the prospects for determining (n, gamma) cross sections for deformed rare-earth and…

核理论 · 物理学 2010-04-06 Jutta E. Escher , Frank S. Dietrich

Basing on the thickness (profile) function, previously obtained for the realistic Fermi type distribution of nucleons in nuclei, calculations are made of the microscopic eikonal phases of the nucleus-nucleus scattering and the total…

核理论 · 物理学 2007-05-23 V. Lukyanov , E. Zemlyanaya , B. Slowinski

The reduced cross section of the semiexclusive $(l,l'p)$ lepton scat tering process irrespective of the type of interaction is determined mainly by bound nucleon momentum distribution in target and nucleon final state interaction with…

高能物理 - 唯象学 · 物理学 2026-03-26 A. V. Butkevich , S. V. Luchuk

The k-body Gaussian Embedded Ensemble of Random Matrices is considered for N bosons distributed on two single-particle levels. When k = N, the ensemble is equivalent to the Gaussian Orthogonal Ensemble (GOE), and when k = 2 it corresponds…

原子物理 · 物理学 2012-04-02 Saul Hernández-Quiroz , Manuel Beltrán , Luis Benet , Jorge Flores , Germinal Cocho

The ratio of two consecutive level spacings has emerged as a very useful metric in investigating universal features exhibited by complex spectra. It does not require the knowledge of density of states and is therefore quite convenient to…

数学物理 · 物理学 2020-02-04 Ayana Sarkar , Manuja Kothiyal , Santosh Kumar