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Given any finite and closed chemical reaction system, it is possible to efficiently determine whether or not it contains a `self-sustaining and collectively autocatalytic' subset of reactions, and to find such subsets when they exist.…

Molecular Networks · Quantitative Biology 2015-01-26 Mike Steel

Exact solutions of two-particle relativistic equations of quantum field theory describing the scattering $s$-states and the bound $s$-states are found in the cases of delta-shell potential and superposition of delta-shell potentials. Some…

Mathematical Physics · Physics 2013-12-09 Valery Kapshai , Yury Grishechkin

A composite symmetry of the nuclear structure, called multichannel dynamical symmetry is established. It can describe different cluster configurations (defined by different reaction channels) in a unified framework, thus it has a…

Nuclear Theory · Physics 2015-06-12 J. Cseh , K. Kato

I review the description of the electroweak nuclear response at large momentum transfer within nonrelativistic many-body theory. Special consideration is given to the effects of final state interactions, which are known to be large in both…

High Energy Physics - Phenomenology · Physics 2009-11-11 Omar Benhar

We study the evolution of a single-particle wave function during the collision of a one dimensional potential well by another well, which can be regarded as a simple model for the problem of the scattering of a one-neutron halo nucleus by…

Nuclear Theory · Physics 2021-01-13 Laura Moschini , Antonio M. Moro , Andrea Vitturi

We have adopted the multistep shell model in the complex energy plane to study nuclear excitations occurring in the continuum part of the spectrum. In this method one proceeds by solving the shell model equations in a successive manner.…

Nuclear Theory · Physics 2012-03-09 Z. X. Xu , C. Qi , R. J. Liotta , R. Wyss

Calculations for open quantum systems are performed usually by taking into account their embedding into one common environment, which is mostly the common continuum of scattering wavefunctions. Realistic quantum systems are coupled however…

Quantum Physics · Physics 2018-08-29 Hichem Eleuch , Ingrid Rotter

Our ultimate goal is the construction of a model for interactions of two nuclei in the energy range between several tens of GeV up to several TeV per nucleon in the centre-of-mass system. Such nuclear collisions are very complex, being…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. J. Drescher , M. Hladik , S. Ostapchenko , K. Werner

Light clusters are included in the equation of state of nuclear matter within the relativistic mean field theory. The effect of the cluster-meson coupling constants on the dissolution density is discussed. Theoretical and experimental…

Nuclear Theory · Physics 2012-06-04 Márcio Ferreira , Constança Providência

Cluster dynamics and single-particle correlation are simultaneously treated for the description of the ground state of ${}^{12} \mathrm{C} $. The recent development of the antisymmetrized quasi cluster model (AQCM) makes it possible to…

Nuclear Theory · Physics 2021-04-06 Naoyuki Itagaki , Tomoya Naito

It is shown that the hole in the centre of $ ^{3}H $, $ ^{3}He $ and $ ^{4}He $, the neutron halos in nuclei, the $ \alpha - $ and other clustering effects in nuclei and the nuclear molecules all basically arise due to the same underlying…

Nuclear Theory · Physics 2007-05-23 Afsar Abbas

Our understanding of halo nuclei has so far relied on high-energy scattering and reactions, but a number of uncertainties remain. I discuss in general terms the new range of observables which will be measured by experiments around the…

Nuclear Theory · Physics 2008-11-26 I. J. Thompson

A novel quantum dynamical model based on the dissipative quantum dynamics of open quantum systems is presented. It allows the treatment of both deep-inelastic processes and quantum tunneling (fusion) within a fully quantum mechanical…

Nuclear Theory · Physics 2009-11-13 Alexis Diaz-Torres , David Hinde , Mahananda Dasgupta , Gerard Milburn , Jeff Tostevin

The presence of energy shells in metallic clusters and atomic nuclei leads to a peculiar relation between the number of particles N and the structure, and this leads to a strong correlation between the energy spectrum and N. An analysis of…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 V. Z. Kresin , J. Friedel

Several topics concerning nuclear structure and electromagnetic interactions of heavy nuclei are reviewed. These comprehend the deformed single-particle shell model, nuclear collective motion, symmetry breaking and approximate symmetry…

Nuclear Theory · Physics 2024-06-12 Alejandro Restrepo-Giraldo

We review the theoretical methods to evaluate fusion cross sections in collisions of weakly bound nuclei. We piont out that in such collisions the coupling to the breakup channel leads to the appearance of different fusion processes. The…

Nuclear Theory · Physics 2008-11-26 L. F. Canto , R. Donangelo , M. S. Hussein

Independent particle model in nuclear physics assumes that the nucleon in the nucleus moves in the average (mean field) potential generated by all other nucleons. This chapter gives a short overview of basic features of the independent…

Nuclear Theory · Physics 2022-09-13 A. V. Afanasjev

The nuclear evaporation process is reformulated by taking into account simultaneous multiparticle emission from a hot compound nucleus appearing as an intermediate state in many nuclear reaction mechanisms. The simultaneous emission of many…

Nuclear Theory · Physics 2012-08-09 Leonardo P. G. De Assis , Sergio B. Duarte , Bianca M. Santos

Quantum entanglement offers a unique perspective into the underlying structure of strongly-correlated systems such as atomic nuclei. In this paper, we use quantum information tools to analyze the structure of light and medium-mass…

The quantum mechanics formalism introduced new revolutionary concepts challenging our everyday perceptions. Arguably, quantum entanglement, which explains correlations that cannot be reproduced classically, is the most notable of them.…

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