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Finding optimal reaction coordinates and predicting accurate kinetic rates for activated processes are two of the foremost challenges of molecular simulations. We introduce an algorithm that tackles the two problems at once: starting from a…

Statistical Mechanics · Physics 2023-10-30 Line Mouaffac , Karen Palacio-Rodriguez , Fabio Pietrucci

The adaptively compressed exchange (ACE) method provides an efficient way for solving Hartree-Fock-like equations in quantum physics, chemistry, and materials science. The key step of the ACE method is to adaptively compress an operator…

Numerical Analysis · Mathematics 2017-11-22 Lin Lin , Michael Lindsey

A general method to describe stochastic dynamics of Markov processes is suggested. The method aims to solve three related problems. The determination of an optimal coordinate for the description of stochastic dynamics. The reconstruction of…

Chemical Physics · Physics 2013-12-25 Sergei V. Krivov

We review the ab initio symmetry-adapted (SA) framework for determining the structure of stable and unstable nuclei, along with related electroweak, decay and reaction processes. This framework utilizes the dominant symmetry of nuclear…

Nuclear Theory · Physics 2021-08-12 Kristina D. Launey , Alexis Mercenne , Tomas Dytrych

We demonstrate and test the adiabatic projection method, a general new framework for calculating scattering and reactions on the lattice. The method is based upon calculating a low-energy effective theory for clusters which becomes exact in…

Nuclear Theory · Physics 2015-06-17 Michelle Pine , Dean Lee , Gautam Rupak

Collective mass tensor derived from the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) approach is compared with that obtained in the Gaussian Overlap Approximation (GOA) to the generator coordinate…

Nuclear Theory · Physics 2014-12-09 A. Baran , J. A. Sheikh , J. Dobaczewski , W. Nazarewicz

Compound nucleus effective moment of inertia has been calculated for several fission reaction systems induced by nucleons, light particles, and heavy ions. Determination of this quantity for these systems is based upon the comparison…

Nuclear Theory · Physics 2012-03-01 S. Soheyli

We report exact results for one-dimensional reaction-diffusion models A+A -> inert, A+A -> A, and A+B -> inert, where in the latter case like particles coagulate on encounters and move as clusters. Our study emphasized anisotropy of hopping…

Condensed Matter · Physics 2010-09-22 Vladimir Privman , Antonio M. R. Cadilhe , M. Lawrence Glasser

We analyse a nonadiabatic self-consistent field method by means of an exactly-solvable model. The method is based on nuclear and electronic orbitals that are functions of the cartesian coordinates in the laboratory-fixed frame. The kinetic…

Quantum Physics · Physics 2012-12-27 Paolo Amore , Francisco M. Fernández

A systematic analysis is made on the total reaction cross sections for Ne, Mg, Si, and S isotopes. The high-energy nucleus-nucleus collision is described based on the Glauber model. Using the Skyrme-Hartree-Fock method in the…

Nuclear Theory · Physics 2015-06-05 W. Horiuchi , T. Inakura , T. Nakatsukasa , Y. Suzuki

We describe a method for obtaining the scattering matrix for nuclear or chemical reactions on a finite lattice. Aside from the preparation of the initial and final states as wave packets, the only other operation required is unitary time…

Nuclear Theory · Physics 2026-03-31 Evan Rule , Ionel Stetcu

In the particles produced in a nuclear collision undergo collective flow, the reaction plane can in principle be determined through a global event analysis. We show here that collective flow can be identified by evaluating the reaction…

High Energy Physics - Phenomenology · Physics 2013-11-13 Jean-Yves Ollitrault

We extend the rigorous adiabatic coupled-channel formalism to ultracold nonreactive atom-molecule collisions in the presence of an external magnetic field. The wavefunction of the collision complex is expanded in adiabatic basis states…

Chemical Physics · Physics 2025-12-01 Nathan S. Prins , Timur V. Tscherbul

Atomic nuclei can exhibit shape coexistence and multi-reference physics that enters in their ground states, and to accurately capture the ensuing correlations and entanglement is challenging. We address this problem by applying…

Nuclear Theory · Physics 2024-02-16 Z. H. Sun , G. Hagen , T. Papenbrock

A new method is introduced allowing to solve exactly the reactions A+A->inert and A+A->A on the 1D lattice with synchronous diffusional dynamics (simultaneous hopping of all particles). Exact connections are found relating densities and…

Condensed Matter · Physics 2010-10-12 Vladimir Privman

For a description of large-amplitude collective motion associated with nuclear pairing, requantization of time-dependent mean-field dynamics is performed using the stationary-phase approximation (SPA) to the path integral. We overcome the…

Nuclear Theory · Physics 2019-01-02 Fang Ni , Nobuo Hinohara , Takashi Nakatsukasa

We formulate and analyze an optimization-based Atomistic-to-Continuum (AtC) coupling method for problems with point defects. Near the defect core the method employs a potential-based atomistic model, which enables accurate simulation of the…

Numerical Analysis · Mathematics 2014-11-17 Derek Olson , Alexander V. Shapeev , Pavel Bochev , Mitchell Luskin

We present our recent results on the fragmentation by varying the mass asymmetry of the reaction between 0.2 and 0.7 at an incident energy of 250 MeV/nucleon. For the present study, the total mass of the system is kept constant (ATOT = 152)…

Nuclear Theory · Physics 2011-09-30 Varinderjit Kaur , Suneel Kumar

By means of the adiabatic self-consistent collective coordinate method and the pairing-plus-quadrupole interaction, we have obtained the self-consistent collective path connecting the oblate and prolate local minima in 68Se and 72Kr for the…

Nuclear Theory · Physics 2009-11-10 M. Kobayasi , T. Nakatsukasa , M. Matsuo , K. Matsuyanagi

Atomistic-to-Continuum (AtC) coupling methods are a novel means of computing the properties of a discrete crystal structure, such as those containing defects, that combine the accuracy of an atomistic (fully discrete) model with the…

Numerical Analysis · Mathematics 2013-09-25 Derek Olson , Pavel Bochev , Mitchell Luskin , Alexander V. Shapeev