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The method of integral transforms is reviewed. In the framework of this method reaction observables are obtained with the bound--state calculation techniques. New developments are reported.

Nuclear Theory · Physics 2007-05-23 V. D. Efros

A method to calculate reactions in quantum mechanics is outlined. It is advantageous, in particular, in problems with many open channels of various nature i.e. when energy is not low. In the method there is no need to specify reaction…

Nuclear Theory · Physics 2017-01-06 V. D. Efros

The LIT approach is reviewed both for inclusive and exclusive reactions. It is shown that the method reduces a continuum state problem to a bound-state-like problem, which then can be solved with typical bound-state techniques. The LIT…

Nuclear Theory · Physics 2009-08-03 W. Leidemann

Radiation technologies have found wide application in power engineering, medicine, biology and other areas of human activities. However, theoretical calculations of nuclear reactions and, correspondingly, the interpretation of experimental…

Nuclear Experiment · Physics 2013-12-10 Yu. P. Lyakhno

Various electromagnetic few-body break-up reactions into the many-body continuum are calculated microscopically with the Lorentz integral transform (LIT) method. For three- and four-body nuclei the nuclear Hamiltonian includes two- and…

Nuclear Theory · Physics 2008-11-26 W. Leidemann

I discuss the role of relativistic quantum mechanics in few-body physics, various formulations of relativistic few-body quantum mechanics and how they are related.

Nuclear Theory · Physics 2016-04-20 Wayne Polyzou

As an attempt to find a way to resolve the discrepancy between calculated by traditional methods PV effects and the available set of experimental data, we analyze the methods of calculations of symmetry violating effects in few-body nuclear…

Nuclear Theory · Physics 2010-12-22 Vladimir Gudkov , Young-Ho Song

The method of screening and renormalization is used to include the Coulomb interaction between the charged particles in the description of few-body nuclear reactions. Calculations are done in the framework of Faddeev-type equations in…

Nuclear Theory · Physics 2015-05-13 A. Deltuva

We investigate a method to extract response functions (dynamical polarisabilities) directly from a bound-state approach applied to calculations of perturbation-induced reactions. The use of a square-integrable basis leads to a response in…

Uncertainty quantification has become increasingly more prominent in nuclear physics over the past several years. In few-body reaction theory, there are four main sources that contribute to the uncertainties in the calculated observables:…

Nuclear Theory · Physics 2020-12-17 A. E. Lovell , F. M. Nunes , M. Catacora-Rios , G. B. King

We propose to calculate inelastic response functions from the inversion of their integral transform with a Lorentz kernel. The transform can be obtained using bound-state type methods. Thus one does not need to solve the much more…

Nuclear Theory · Physics 2009-10-28 Victor D. Efros , Winfried Leidemann , Giuseppina Orlandini

Computing reaction rates in biomolecular systems is a common goal of molecular dynamics simulations. The reactions considered often involve conformational changes in the molecule, either changes in the structure of a protein or the relative…

Dynamical Systems · Mathematics 2013-07-03 Eric Darve , Ernest Ryu

Few body methods are used in many particle physics to describe correlations, bound states, and reactions in strongly correlated quantum systems. Although this has already been recognized earlier, rigorous attempts to treat three-body…

Nuclear Theory · Physics 2011-04-15 Michael Beyer

In the framework of quantum thermodynamics, we propose a method to quantitatively describe thermodynamic quantities for out-of-equilibrium interacting many-body systems. The method is articulated in various approximation protocols which…

Quantum Physics · Physics 2018-02-22 Marcela Herrera , Roberto M. Serra , Irene D'Amico

The four-body bound state with two-body interactions is formulated in Three-Dimensional approach, a recently developed momentum space representation which greatly simplifies the numerical calculations of few-body systems without performing…

Nuclear Theory · Physics 2014-02-26 M. R. Hadizadeh , S. Bayegan

Compound-nuclear processes play an important role for nuclear physics applications and are crucial for our understanding of the nuclear many-body problem. Despite intensive interest in this area, some of the available theoretical…

Nuclear Theory · Physics 2015-06-19 Brett V. Carlson , Jutta E. Escher , Mahir S. Hussein

A scheme to compute reactions is described that uses the Slater determinants constructed of oscillator orbitals. Simple linear equations are suggested for this purpose and shown to be efficient in model examples. A universal method to…

Nuclear Theory · Physics 2019-05-06 V. D. Efros

Quantum mechanical methods have been devised for the elucidation and clarification of reaction paths of chemical processes over decades. While they are typically deployed in routine calculations on systems for which some insights have…

The quantum normal form approach to quantum transition state theory is used to compute the cumulative reaction probability for collinear exchange reactions. It is shown that for heavy atom systems like the nitrogen exchange reaction the…

Chemical Physics · Physics 2010-03-17 Arseni Goussev , Roman Schubert , Holger Waalkens , Stephen Wiggins

The calculation of interaction integrals is a bottleneck for the treatment of many-body quantum systems due to its high numerical cost. We conduct configuration interaction calculations of the few-electron states confined in III-V…

Computational Physics · Physics 2020-08-13 Alina Mreńca-Kolasińska , Krzysztof Kolasiński , Bartłomiej Szafran
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