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By using the method of hyperspherical functions within the appropriate for this method $K_{\min}$ approximation, the simple three-cluster model for description of the ground state and the continuous spectrum states of \6He is developed. It…

Nuclear Theory · Physics 2007-05-23 G. F. Filippov , I. Yu. Rybkin , S. V. Korennov

The vector analyzing power has been measured for the elastic scattering of neutron-rich 6He from polarized protons at 71 MeV/nucleon making use of a newly constructed solid polarized proton target operated in a low magnetic field and at…

The $^6$He+$^{12}$C elastic scattering data at beam energies of 3, 38.3 and 41.6 MeV/nucleon are studied utilizing the microscopic optical potentials obtained by a double-folding procedure and also by using those inherent in the high-energy…

We investigate inclusive electron scattering reactions on two-neutron halo nuclei in the quasielastic region. Expressions for the cross section and structure functions are given assuming that the halo nucleus can be described as a…

Nuclear Theory · Physics 2009-11-06 E. Garrido , E. Moya de Guerra

We review the latest variational calculations of the ground state properties of doubly closed shell nuclei, from $^{12}$C to $^{208}$Pb, with semirealistic and realistic two- and three-nucleon interactions. The studies are carried on within…

Nuclear Theory · Physics 2011-04-15 A. Fabrocini , F. Arias de Saavedra , G. P. Co'

We employ the multipole expansion within the unified electroweak theory to develop a complete calculation method of the electron scattering cross section for light nuclei. The specific calculations for 6,7Li and 7Be nuclei indicate that the…

Nuclear Theory · Physics 2025-05-06 Vo Minh Truong , Nguyen Quang Hung

Bound-state-like wave functions are used to determine the scattering matrix corresponding to low energy $N-d$ and $p-^3$He collisions. To this end, the coupled channel form of the integral relations derived from the Kohn variational…

Nuclear Theory · Physics 2015-05-30 A. Kievsky , M. Viviani , L. E. Marcucci

The 4He3 system is investigated using a hard-core version of the Faddeev differential equations and realistic 4He-4He interactions. We calculate the binding energies of the 4He trimer but concentrate in particular on scattering observables.…

Atomic and Molecular Clusters · Physics 2007-05-23 A. K. Motovilov , W. Sandhas , S. A. Sofianos , E. A. Kolganova

Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions in all three directions. A relation between the exact energy eigenvalue in…

High Energy Physics - Lattice · Physics 2010-02-03 Song He , Xu Feng , Chuan Liu

We analyze the quantum phase transition in the Bose-Hubbard model borrowing two tools from quantum-information theory, i.e. the ground-state fidelity and entanglement measures. We consider systems at unitary filling comprising up to 50…

Other Condensed Matter · Physics 2008-05-26 Pierfrancesco Buonsante , Alessandro Vezzani

Based on an approach recently proposed by us, simultaneous $\chi^{2}$-analyses are performed for elastic scattering, direct reaction (DR) and fusion cross sections data for the $^{6}$He+$^{209}$Bi system at near-Coulomb-barrier energies to…

Nuclear Theory · Physics 2009-11-07 B. T. Kim , W. Y. So , S. W. Hong , T. Udagawa

This paper presents a simple and effective new numerical scheme for the computation of electrostatic fields exterior to a collection of close-to-touching discs. The method is presented in detail for the two-cylinder case. The key idea is to…

Numerical Analysis · Mathematics 2014-09-09 D. G. Crowdy , S. Tanveer , T. Delillo

The B-spline R-matrix and the convergent close-coupling methods are used to study electron collisions with neutral beryllium over an energy range from threshold to 100 eV. Coupling to the target continuum significantly affects the results…

Atomic Physics · Physics 2016-06-07 Oleg Zatsarinny , Klaus Bartschat , Dmitry V. Fursa , Igor Bray

We obtain an exact many-body scattering eigenstate in an open quantum dot system. The scattering state is not in the form of the Bethe eigenstate in the sense that the wave-number set of the incoming plane wave is not conserved during the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Akinori Nishino , Takashi Imamura , Naomichi Hatano

Local scale transformations are made to vary the long range properties of harmonic oscillator orbitals conventionally used in model structure calculations of nuclear systems. The transformations ensure that those oscillator states…

Nuclear Theory · Physics 2009-11-07 S. Karataglidis , K. Amos , B. G. Giraud

We discuss the extension of the oscillator-basis $J$-matrix formalism on the case of true $A$-body scattering. The formalism is applied to loosely-bound $^{11}$Li and $^6$He nuclei within three-body cluster models ${\rm {^9Li}}+n+n$ and…

Nuclear Theory · Physics 2014-11-18 Yu. A. Lurie , A. M. Shirokov

We try to explain the differences in the 6He dipole strength function in refs. [1] and [2]. We perform the full basis calculation of the strength function with the same renormalized interaction as in [1] and show that the size of the basis,…

Nuclear Theory · Physics 2008-11-26 D. V. Fedorov , A. Cobis , A. S. Jensen

The direct comparison of two different continuum discretization methods towards the solution of a composite particle scattering off a nucleus is presented. The first approach -- the Continumm-Discretized Coupled Channel method -- is based…

Nuclear Theory · Physics 2008-11-26 O. A. Rubtsova , V. I. Kukulin , A. M. Moro

Scattering processes are a fundamental way of experimentally probing distributions and properties of systems in several areas of physics. Considering two-body scattering at low energies, when the de Broglie wavelength is larger than the…

Quantum Physics · Physics 2023-08-01 Mathias Macêdo-Lima , Lucas Madeira