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In this sketch, some recent developments in Compton scattering off the deuteron are reviewed. The strong energy-dependence of the scalar magnetic dipole polarisability \beta_M1 turns out to be crucial to understand the data from Saskatoon…

Nuclear Theory · Physics 2009-11-10 Harald W. Griesshammer

We extend the ab initio no-core shell model/resonating-group method to include three-nucleon (3N) interactions for the description of nucleon-nucleus collisions. We outline the formalism, give algebraic expressions for the 3N-force…

The recent works by the present authors predicted that the real part of heavy-ion optical potentials changes its character from attraction to repulsion around the incident energy per nucleon E/A = 200 - 300 MeV on the basis of the complex…

Nuclear Theory · Physics 2011-01-20 T. Furumoto , Y. Sakuragi , Y. Yamamoto

There now exists a practical method (IP) for the routine inversion of $S$-matrix elements to produce the corresponding potential. It can be applied to spin-1/2 and spin-1 projectiles. We survey the ways that IP inversion can be applied in…

Nuclear Theory · Physics 2007-05-23 R. S. Mackintosh

We study the nonlinear Schr\"odinger equation with an inverse-square potential in dimensions $3\leq d \leq 6$. We consider both focusing and defocusing nonlinearities in the mass-supercritical and energy-subcritical regime. In the focusing…

Analysis of PDEs · Mathematics 2018-01-01 Jing Lu , Changxing Miao , Jason Murphy

Deuteron breakup in collision with a ${}^{24}\mathrm{Mg}$ nucleus is studied using rigorous three-body scattering equations, extended to include also the excitation of the nucleus. Predictions based on local and nonlocal nucleon-nucleus…

Nuclear Theory · Physics 2024-11-13 A. Deltuva , D. Jurčiukonis

Nuclear shape and orientation degrees of freedom are incorporated into the calculation of the double-folding nuclear potential within the relativistic mean-field (RMF) formalism. The quadrupole deformations ($\beta_2$), nuclear densities…

Nuclear Theory · Physics 2024-08-30 Shilpa Rana , M. Bhuyan , Raj Kumar , B. V. Carlson

Central idea: To obtain the interaction potential using the inverse scattering method, we have employed the Physics-Informed Machine Learning (PIML) approach. In this framework, the machine learning algorithm is guided by the underlying…

The proton structure function is re-deduced from the data of deep inelastic electron-proton scattering after enhanced correction that is made due to the multiple scattering effect. The Glauber approach is used to account for the multiple…

High Energy Physics - Phenomenology · Physics 2007-05-23 N. M. Hassan , W. R. El-Harby , R. W. El-Moualed And M. T. Hussein

Based on the extended optical model approach in which the polarization potential is decomposed into direct reaction (DR) and fusion parts, simultaneous $\chi^{2}$ analyses are performed for elastic scattering and fusion cross section data…

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

Three types of microscopic nucleus-nucleus optical potentials are constructed using three patterns for their real and imaginary parts. Two of these patterns are the real $V^H$ and imaginary $W^H$ parts of the potential which reproduces the…

Nuclear Theory · Physics 2007-05-23 K. M. Hanna , K. V. Lukyanov , V. K. Lukyanov , B. Slowinski , E. V. Zemlyanaya

The inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-zero boundary conditions at infinity is thoroughly discussed. We delve into the analytical properties of the Jost eigenfunctions and scrutinize…

Exactly Solvable and Integrable Systems · Physics 2024-06-13 Peng-Fei Han , Wen-Xiu Ma , Ru-Suo Ye , Yi Zhang

It was recently shown [Y. Suzuki, L. Lacombe, K. Watanabe, and N. T. Maitra, Phys. Rev. Lett. 119, 263401 (2017)] that peak and valley structures in the exact exchange-correlation potential of time-dependent density functional theory are…

Chemical Physics · Physics 2018-07-04 Lionel Lacombe , Yasumitsu Suzuki , Kazuyuki Watanabe , Neepa T. Maitra

In order to treat tensor force explicitly, we propose a microscopic model for nuclear structure based on antisymmetrized molecular dynamics (AMD). As a result of the present study, it is found that some extentions of the AMD method are…

We derive local microscopic optical potentials $U$ systematically for polarized proton scattering at 65~MeV using the local-potential version of the Melbourne $g$-matrix folding model. As target nuclei, we take $^{6}$He and neutron-rich Ne…

Nuclear Theory · Physics 2015-06-15 Masakazu Toyokawa , Kosho Minomo , Masanobu Yahiro

Elastic scattering of antiprotons on deuteron and 3He targets is studied within the Glauber-Sitenko theory. In case of pbar-d scattering, the single- and double pbar-N scattering mechanisms and the full spin dependence of the elementary…

Nuclear Theory · Physics 2012-12-13 J. Haidenbauer , Yu. N. Uzikov

The $\bar{\nu}_e + {^2{\rm H}} \rightarrow e^+ + n + n$, $\nu_e + {^2{\rm H}} \rightarrow e^- + p + p$, $\bar{\nu}_l + {^2{\rm H}} \rightarrow \bar{\nu}_l + {^2{\rm H}}$, $\nu_l + {^2{\rm H}} \rightarrow \nu_l + {^2{\rm H}}$, $\bar{\nu}_l +…

Nuclear Theory · Physics 2018-07-18 J. Golak , R. Skibinski , K. Topolnicki , H. Witala , A. Grassi , H. Kamada , L. E. Marcucci

We employ the chiral nucleon-nucleon potential derived using the method of unitary transformation up to next-to-next-to-leading order (NNLO) to study bound and scattering states in the two-nucleon system. The predicted partial wave phase…

Nuclear Theory · Physics 2009-11-06 E. Epelbaum , H. Kamada , A. Nogga , H. Witala , W. Gloeckle , Ulf-G. Meissner

We present the first successful potential model description of Li-6 -- He-4 scattering. The differential cross-sections for three energies and the vector analyzing powers for two energies were fitted by a single potential with energy…

Nuclear Theory · Physics 2019-08-15 R. S. Mackintosh , S. G. Cooper , V. I. Kukulin

The proton-inelastic scattering from $^{6,8}$He and $^{7,11}$Li nuclei are studied in a folding model approach. A finite-range, momentum, density and isospin dependent nucleon-nucleon interaction (SBM) is folded with realistic density…

Nuclear Theory · Physics 2008-11-26 D. Gupta , C. Samanta