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This paper introduces an efficient approach to solve quadratic and nonlinear programming problems subject to linear equality constraints via the Theory of Functional Connections. This is done without using the traditional Lagrange…

Numerical Analysis · Mathematics 2022-08-26 Tina Mai , Daniele Mortari

Pairing correlations are ubiquitous in low-energy states of atomic nuclei. To incorporate them within nuclear density functional theory, often used for global computations of nuclear properties, pairing functionals that generate nucleonic…

Nuclear Theory · Physics 2026-05-22 Sudhanva Lalit , Paul-Gerhard Reinhard , Kyle Godbey , Witold Nazarewicz

In this paper, we take the first steps towards a novel unified framework for the analysis of perturbations in both the Time and Frequency domains. The identification of type and source of such perturbations is fundamental for monitoring…

This paper describes a package for calculations of expressions with Dirac matrixes. Advantages to existing similar packages are described. MatrixExp package is intended for simplification of complex expressions involving $\gamma$-matrixes,…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. A. Poghosyan

Analyzing time-series cross-sectional (also known as longitudinal or panel) data is an important process across a number of fields, including the social sciences, economics, finance, and medicine. PanelMatch is an R package that implements…

Methodology · Statistics 2025-08-19 Adam Rauh , In Song Kim , Kosuke Imai

We present the Mathematica group theory package GTPack providing about 200 additional modules to the standard Mathematica language. The content ranges from basic group theory and representation theory to more applied methods like crystal…

Materials Science · Physics 2018-08-27 R. M. Geilhufe , W. Hergert

Recent advances in random-walk particle-tracking have enabled direct simulation of mixing and reactions on particles by allowing the particles to interact with each other using a multi-point mass transfer scheme. The mass transfer scheme…

Computational Physics · Physics 2019-04-22 Nicholas B. Engdahl , Michael J. Schmidt , David A. Benson

We have calculated the properties of nuclear matter in a self-consistent manner with quark-meson coupling mechanism incorporating structure of nucleons in vacuum through a relativistic potential model; where the dominant confining…

Nuclear Theory · Physics 2013-07-04 N. Barik , R. N. Mishra , D. K. Mohanty , P. K. Panda , T. Frederico

A practical method to solve cut-off Coulomb problems of two-cluster systems in the momentum space is given. When a sharply cut-off Coulomb force with a cut-off radius $\rho$ is introduced at the level of constituent particles, two-cluster…

Nuclear Theory · Physics 2012-09-03 Yoshikazu Fujiwara , Kenji Fukukawa

We introduce TERMS, an open-source Fortran program to simulate near-field and far-field optical properties of clusters of particles. The program solves rigorously the Maxwell equations via the superposition T-matrix method, where incident…

Computational Physics · Physics 2022-04-13 Dmitri Schebarchov , Atefeh Fazel-Najafabadi , Eric C. Le Ru , Baptiste Auguié

One of the open problems in nuclear structure is how to predict properties of finite nuclei from the knowledge of a bare nucleon-nucleon interaction of the meson-exchange type. We point out that a promising starting point consists in…

Nuclear Theory · Physics 2014-11-20 Nguyen Van Giai , Brett V. Carlson , Zhongyu Ma , Hermann Wolter

The particle-hole Density Matrix Renormalization Group (p-h DMRG) method is discussed as a possible new approach to large-scale nuclear shell-model calculations. Following a general description of the method, we apply it to a class of…

Nuclear Theory · Physics 2011-05-12 J. Dukelsky , S. Pittel , S. S. Dimitrova , M. V. Stoitsov

A multi-channel algebraic scattering theory, to find solutions of coupled-channel scattering problems with interactions determined by collective models, has been structured to ensure that the Pauli principle is not violated. Positive…

Nuclear Theory · Physics 2009-11-11 K. Amos , P. Fraser , S. Karataglidis , D. van der Knijff , J. P Svenne , L. Canton , G. Pisent

We propose a novel statistical approach to the analysis of experimental data obtained in nucleus-nucleus collisions at high energies which borrows from methods developed within the context of Random Matrix Theory. It is applied to the…

Nuclear Experiment · Physics 2009-12-31 R. G. Nazmitdinov , E. I. Shahaliev , M. K. Suleymanov , S. Tomsovic

We use the R-matrix theory to fit low-energy data on nuclear reactions involved in Big Bang nucleosynthesis. A special attention is paid to the rate uncertainties which are evaluated on statistical grounds. We provide S factors and reaction…

The G-matrix equation is most straightforwardly formulated in the resonating-group method if the quark-exchange kernel is directly used as the driving term for the infinite sum of all the ladder diagrams. The inherent energy-dependence…

Nuclear Theory · Physics 2009-11-06 Yoshikazu Fujiwara , Michio Kohno , Choki Nakamoto , Yasuyuki Suzuki

We consider a hierarchy of many particle systems on the line with polynomial potentials separable in parabolic coordinates. Using the Lax representation, written in terms of $2\times 2$ matrices for the whole hierarchy, we construct the…

High Energy Physics - Theory · Physics 2009-10-22 J. C. Eilbeck , V. Z. Enol'skii , V. B. Kuznetsov , D. V. Leykin

This paper proposes a data-driven method to solve the fixed-energy inverse scattering problem for radially symmetric potentials using radial basis function (RBF) neural networks in an open-loop control system. The method estimates the…

Nuclear Theory · Physics 2026-02-09 Gábor Balassa

A new approach to large-scale nuclear structure calculations, based on the Density Matrix Renormalization Group (DMRG), is described. The method is tested in the context of a problem involving many identical nucleons constrained to move in…

Nuclear Theory · Physics 2011-05-12 J. Dukelsky , S. Pittel

To fully leverage the power of image simulation to corroborate and explain patterns and structures in atomic resolution microscopy (e.g., electron and scanning probe), an initial correspondence between the simulation and experimental image…

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