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Atomic nuclei exhibit deformation, pairing correlations, and rotational symmetries. To meet these competing demands in a computationally tractable formalism, we revisit the use of general pair condensates with good particle number as a…

Nuclear Theory · Physics 2022-04-06 Yi Lu , Yang Lei , Calvin W. Johnson , Jia Jie Shen

We present our results on properties of ground states for nucleonic systems in the presence of random two-body interactions. In particular we present probability distributions for parity, seniority, spectroscopic (i.e., in the laboratory…

Nuclear Theory · Physics 2007-05-23 Y. M. Zhao , A. Arima , N. Shimizu , K. Ogawa , N. Yoshinaga , O. Scholten

We study weakly-bound deformed nuclei based on the coordinate-space Skyrme Hartree-Fock-Bogoliubov approach, in which a large box is employed for treating the continuum and surface diffuseness. Approaching the limit of core-halo deformation…

Nuclear Theory · Physics 2015-06-12 J. C. Pei , Y. N. Zhang , F. R. Xu

Ab initio studies of atomic nuclei are based on Hamiltonians including one-, two- and three-body operators with very complicated structures. Traditionally, matrix elements of such operators are expanded on a Harmonic Oscillator…

Nuclear Theory · Physics 2026-01-19 Alberto Scalesi , Carlo Barbieri , Enrico Vigezzi

We present an outline of an extensive study of the effects of collective couplings and nuclear deformations on integrated cross sections as well as on angular distributions in a consistent manner for neutron-induced reactions on nuclei in…

Nuclear Theory · Physics 2013-11-05 G. P. A. Nobre , A. Palumbo , D. Brown , M. Herman , S. Hoblit , F. S. Dietrich

We study the spin-parity distribution P(J$^{\pi}$,E) of $^{156}$Gd excited states above the neutron separation energy $S_{n}=8.536$ MeV \cite{156Gd_list_of_levels} that are expected to be populated via the 1-step neutron pickup reaction…

Nuclear Theory · Physics 2017-12-27 V. G. Gueorguiev , J. E. Escher

In the distributed nucleus approximation we represent the singular nucleus as smeared over a smallportion of a Cartesian grid. Delocalizing the nucleus allows us to solve the Poisson equation for theoverall electrostatic potential using a…

chem-ph · Physics 2009-10-28 Karthik A. Iyer , Michael P. Merrick , Thomas L. Beck

We show that when an isolated doublet of unbound states of a physical system becomes degenerate for some values of the control parameters of the system, the energy hypersurfaces representing the complex resonance energy eigenvalues as…

Quantum Physics · Physics 2007-05-23 E. Hernandez , A. Jauregui , A. Mondragon , L. Nellen

A generalized contour deformation method (GCDM) which combines complex rotation and translation in momentum space, is discussed. GCDM gives accurate results for bound, virtual (antibound), resonant and scattering states starting with a…

Nuclear Theory · Physics 2008-11-26 G. Hagen , M. Hjorth-Jensen , J. S. Vaagen

The coupled-channel theory is a natural way of treating nonelastic channels, in particular those arising from collective excitations characterized by nuclear deformations. A proper treatment of such excitations is often essential to the…

Nuclear Theory · Physics 2015-03-13 G. P. A. Nobre , A. Palumbo , F. S. Dietrich , M. Herman , D. Brown , S. Hoblit

The physics of open quantum systems is an interdisciplinary area of research. The nuclear "openness" manifests itself through the presence of the many-body continuum representing various decay, scattering, and reaction channels. As the…

Nuclear Theory · Physics 2015-06-17 A. T. Kruppa , G. Papadimitriou , W. Nazarewicz , N. Michel

The exact solvability of several nuclear models with non-degenerate single-particle energies is outlined and leads to a generalization of integrable Richardson-Gaudin models, like the $su(2)$-based fermion pairing, to any simple Lie…

Nuclear Theory · Physics 2007-05-23 J. Dukelsky , V. G. Gueorguiev , P. Van Isacker

Through ensemble learning with multitasking and complex connection neural networks, we aggregated nuclear properties, including ground state charge radii, binding energies, and single-particle state information obtained from the Kohn-Sham…

Nuclear Theory · Physics 2023-10-18 Zu-Xing Yang , Xiao-Hua Fan , Zhi-Pan Li , Haozhao Liang

A review is given of the relation between pairing, quasi-spin algebras and seniority. The former two concepts are closely connected, the relation being that the quasi-spin formalism allows an efficient solution of the pairing problem.…

Nuclear Theory · Physics 2015-05-20 P. Van Isacker

The Generalized Fermi Breakup recently demonstrated to be formally equivalent to the Statistical Multifragmentation Model, if the contribution of excited states are included in the state densities of the former, is implemented. Since this…

Nuclear Theory · Physics 2014-08-29 S. R. Souza , B. V. Carlson , R. Donangelo , W. G. Lynch , M. B. Tsang

A microscopic description of nuclei is important to understand the nuclear shell-model from fundamental principles. This is difficult to achieve for more than the lightest nuclei without an effective approximation scheme. The purpose of…

Nuclear Theory · Physics 2013-08-19 Gustav R. Jansen

Several relevant properties of the Na clusters were studied by using a projected spherical single particle states.The proposed model is able to describe in an unified fashion the spherical and deformed clusters. Photoabsorbtion cross…

Mesoscale and Nanoscale Physics · Physics 2011-12-06 A. A. Raduta , Al. H. Raduta , R. Budaca

Deep neural networks are often used to implement powerful generative models for real-world data. Notable applications include image denoising, as well as other classical inverse problems like compressed sensing and super-resolution. To…

Machine Learning · Computer Science 2026-02-23 Ruhui Jin , Dustin G. Mixon , Soledad Villar

In analogy with the Nilsson model, we calculate the splitting of spherical single-particle levels in a deformed field, but for cluster potentials. We study applications to alpha-cluster nuclei with two, three and four alpha particles, in…

Nuclear Theory · Physics 2018-09-26 A. H. Santana-Valdés , R. Bijker

We investigate the one-particle sector for the field-theoretical model of gravitationally induced decoherence for a scalar field in [1] with a special focus on the renormalisation of the one-particle master equation. In contrast to existing…

High Energy Physics - Theory · Physics 2025-10-20 Max Joseph Fahn , Kristina Giesel