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We propose a model for the quantum harmonic oscillator on a discrete lattice which can be written in supersymmetric form, in contrast with the more direct discretization of the harmonic oscillator. Its ground state is easily found to be…

Quantum Physics · Physics 2015-05-30 Manuel Valiente

In this work we present a new method of approximating the continuum wavefunctions with a discrete basis set. This method aims to be at least compatible with other well known methods of the electronic structure theory to describe processes…

Chemical Physics · Physics 2019-09-18 Mateusz S. Szczygieł , Michał Lesiuk , Robert Moszynski

The scattering phase shift encodes a good amount of physical information which can be used to study resonances from scattering data. Among others, it can be used to calculate the continuum density of states and the collision time in a…

High Energy Physics - Phenomenology · Physics 2017-08-23 M. Nowakowski , N. G. Kelkar

We introduce the transition-density formalism, an efficient and general method for calculating the interaction of external probes with light nuclei. One- and two-body transition densities that encode the nuclear structure of the target are…

Nuclear Theory · Physics 2020-12-30 Harald W. Griesshammer , Judith A. McGovern , Andreas Nogga , Daniel R. Phillips

Fixed energy inverse scattering theory has been used to define central and spin-orbit Schr\"odinger potentials for the scattering of 5 eV polarized electrons from Xe atoms. The results are typical for a range of such data; including…

Atomic Physics · Physics 2009-11-06 A. Lovell , K. Amos

Elastic scattering observables (differential cross section and analyzing power) are calculated for the reaction $^6$He(p,p)$^6$He at projectile energies starting at 71 MeV/nucleon. The optical potential needed to describe the reaction is…

Nuclear Theory · Physics 2013-05-30 S. P. Weppner , Ch. Elster

Scattering of 2 particles of spin 0 and 1/2 is evaluated based on a basis constructed from the momentum and the helicity states (the momentum-helicity basis). This shortly called three-dimensional (3D) technique is a good alternative to the…

Nuclear Theory · Physics 2007-12-10 I. Fachruddin , I. Abdulrahman

The exact two-particle energy eigenstates in an asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum are…

High Energy Physics - Lattice · Physics 2009-11-10 Xin Li , Chuan Liu

We present a symmetry-projected configuration mixing scheme to describe ground and excited states, with well defined quantum numbers, of the two-dimensional Hubbard model with nearestneighbor hopping and periodic boundary conditions.…

Strongly Correlated Electrons · Physics 2013-06-28 R. Rodríguez-Guzmán , K. W. Schmid , Carlos A. Jiménez-Hoyos , Gustavo E. Scuseria

We apply the Hulth\`en-Kohn method suggested by V. D. Efros [Phys. Rev. C 99, 034620 (2019)] for calculating various observables in the continuum and discrete spectrum using two-body interactions in single- and coupled-channel systems. This…

Nuclear Theory · Physics 2025-09-04 M. A. Sharaf , A. M. Shirokov , W. Du , J. P. Vary

The population and decay of two-nucleon resonances offer exciting new opportunities to explore dripline phenomena. The understanding of these systems requires a solid description of the three-body (core+N+N) continuum. The identification of…

Nuclear Theory · Physics 2019-01-08 J. Casal , J. Gómez-Camacho

The elastic neutron-${}^3\mathrm{H}$ scattering at intermediate energies is studied using rigorous integral equations solved in the momentum-space partial-wave basis. The four-particle transition operators are expanded into…

Nuclear Theory · Physics 2025-02-24 A. Deltuva

We present measurements of differential cross sections and analyzing powers for the elastic 2H(~d; d)d scattering process. The data were obtained using a 130 MeV polarized deuteron beam. Cross sections and spin observables of the elastic…

The "soft dipole" E1 strength function is calculated for the transition from the $^{6}$He $0^+$ ground state to the $1^-$ continuum $^{4}$He+$n$+$n$. The calculations were performed within the hyperspherical harmonics formalism. The…

Nuclear Theory · Physics 2020-07-22 L. V. Grigorenko , N. B. Shulgina , M. V. Zhukov

In this paper, the approach for considering fast charged particles scattering on targets of complex structure, which contain some isolated substructures, is introduced. Based on this approach, the differential cross section for scattering…

High Energy Physics - Theory · Physics 2025-09-16 V. D. Omelchenko

The role of different continuum components in the weakly-bound nucleus $^6$He is studied by coupling unbound spd-waves of $^5$He by means of simple pairing contact-delta interaction. The results of our previous investigations in a model…

Nuclear Theory · Physics 2018-08-28 Jagjit Singh , L. Fortunato , A. Vitturi , R. Chatterjee

A method to identify and characterize three-body resonances in a discrete basis is discussed in the context of two-nucleon emitters. For this purpose, a resonance operator is introduced and diagonalized in a basis of energy pseudostates…

Nuclear Theory · Physics 2020-01-14 J. Casal , J. Gómez-Camacho

Theoretical study is presented for a spinor Bose-Einstein condensate, whose two components are coupled by copropagating Raman beams with different orbital angular momenta. The investigation is focused on the behavior of the ground state of…

Quantum Gases · Physics 2021-01-04 Y. Duan , Y. M. Bidasyuk , A. Surzhykov

The series of calculations of differential cross sections and analyzing powers (Ay) of the elastic proton scattering on isotopes 6He and 8He was presented in the framework of the theory of Glauber multiple diffraction scattering. The…

Nuclear Theory · Physics 2013-04-23 E. Ibraeva , O. Imambekov , A. Dzhazairov-Kahramanov

We investigate the use of proton-nucleus elastic scattering experiments using secondary beams of 6He and 8He to determine the physical structure of these nuclei. The sensitivity of these experiments to nuclear structure is examined by using…

Nuclear Theory · Physics 2009-11-06 Stephen P. Weppner , Charlotte Elster , Ofir Garcia