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We perform a first-principle calculation of optical potentials for nucleon elastic scattering off medium-mass isotopes. Fully based on a saturating chiral Hamiltonian, the optical potentials are derived by folding nuclear density…

Nuclear Theory · Physics 2024-03-22 Matteo Vorabbi , Carlo Barbieri , Vittorio Somà , Paolo Finelli , Carlotta Giusti

Double folding potential is constructed using the M3Y interaction and the matter densities of the projectile and target nuclei obtained from four microscopic energy density functional (EDF) models. The elastic scattering cross sections for…

Nuclear Theory · Physics 2024-01-17 Kyoungsu Heo , Hana Gil , Ki-Seok Choi , K. S. Kim , Chang Ho Hyun , W. Y. So

In this paper, we have made a comparative study of alpha-alpha scattering using different phenomenological models like Morse, double Gaussian, double Hulthen, Malfliet-Tjon and double exponential for the nuclear interaction and atomic…

Nuclear Theory · Physics 2023-07-26 Ayushi Awasthi , O. S. K. S. Sastri

The scattering of two and more particles at low energies is described by the so called effective-range expansion. The leading terms of this expansion are the scattering length and effective range. The analytic expressions for both of the…

Nuclear Theory · Physics 2021-10-06 Evgeny Z. Liverts

Differential cross sections for $^3$He-$\alpha$ scattering were measured in the energy range up to 3 MeV. These data together with other available experimental results for $^3$He $+ \alpha$ and $^3$H $+ \alpha$ scattering were analyzed in…

Nuclear Theory · Physics 2008-11-26 P. Mohr , H. Abele , R. Zwiebel , G. Staudt , H. Krauss , H. Oberhummer , A. Denker , J. W. Hammer , G. Wolf

We develop for the first time a microscopic global nucleon-nucleus optical potential with quantified uncertainties suitable for analyzing nuclear reaction experiments at next-generation rare-isotope beam facilities. Within the improved…

Nuclear Theory · Physics 2021-11-10 T. R. Whitehead , Y. Lim , J. W. Holt

In the density distribution of a deformed target-nucleus, the spherical $\lambda = 0$ and the deformed $\lambda = 2$ parts were considered. On this basis, the corresponding potential parts $U_0$ and $U^{(2)}_{int}$ of a double -folding…

Nuclear Theory · Physics 2007-06-06 K. V. Lukyanov , E. V. Zemlyanaya , I. N. Kuchtina , V. K. Lukyanov , Z. Metawei , K. M. Hanna

The molecular algebraic model based on three and four alpha clusters is used to describe the inelastic scattering of alpha particles populating low-lying states in $^{12}$C and $^{16}$O. Optical potentials and inelastic formfactors are…

Nuclear Theory · Physics 2021-02-03 J. Casal , L. Fortunato , E. G. Lanza , A. Vitturi

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…

Total reaction cross sections are predicted for nucleons scattering from various nuclei. Projectile energies to 300 MeV are considered. So also are mass variations of those cross sections at selected energies. All predictions have been…

Nuclear Theory · Physics 2009-11-07 K. Amos , S. Karataglidis , P. K. Deb

We study the $K^{+}d$ scattering at low energies using the optical potential. Our optical potential consists of the first-order and second-order terms. The total, integrated elastic and elastic differential cross sections at incident kaon…

Nuclear Theory · Physics 2010-05-25 Takashi Takaki

The $\gamma$ process in supernova explosions is thought to explain the origin of proton-rich isotopes between Se and Hg, the so-called $p$ nuclei. The majority of the reaction rates for $\gamma$ process reaction network studies has to be…

A pair of scattering potentials are called $\alpha$-equivalent if they have identical scattering properties for incident plane waves with wavenumber $k\leq\alpha$ (energy $k^2\leq\alpha^2$.) We use a recently developed multidimensional…

Quantum Physics · Physics 2019-02-14 Farhang Loran , Ali Mostafazadeh

The coupled-channel technique augments a non-relativistic distorted wave born approximation scattering calculation to include a coupling to virtual states from the negative energy region. It has been found to be important in low energy…

Nuclear Theory · Physics 2023-11-29 S. P. Weppner , Prakrut Patel , C. Miller , C. Ogg , I. Mazumdar

Three-body nuclear reactions in two-nucleon plus core systems are described in the framework of exact scattering equations including the core excitation. A nucleon-core optical potential is constructed that can be easily adjusted to the…

Nuclear Theory · Physics 2015-02-18 A. Deltuva

We develop a method to construct a microscopic optical potential from chiral interactions for nucleon-nucleus scattering. The optical potential is constructed by combining the Green's function approach with the coupled-cluster method. To…

Nuclear Theory · Physics 2017-02-17 J. Rotureau , P. Danielewicz , G. Hagen , F. Nunes , T. Papenbrock

Processes involving alpha particles and alpha-like nuclei comprise a major part of stellar nucleosynthesis and hypothesized mechanisms for thermonuclear supernovae. In an effort towards understanding alpha processes from first principles,…

The sensitivity of nucleon-nucleus elastic scattering to the off-shell behavior of realistic nucleon-nucleon interactions is investigated when on-shell equivalent nucleon-nucleon potentials are used. The study is based on applications of…

Nuclear Theory · Physics 2008-11-26 H. F. Arellano , F. A. Brieva , M. Sander , H. V. von Geramb

In this work we extend a previously derived $n$- $^9$Be optical potential up to 500 MeV and apply it to the system $n$- $^{12}$C, finding excellent results for the energy dependence of the total cross sections. Results obtained with a…

Nuclear Theory · Physics 2023-10-24 Imane Moumene , Angela Bonaccorso

\begin{description} \item[Background] Fusion reactions play an important role in nucleosynthesis and in applications to society. Yet they remain challenging to model. \item[Purpose] In this work, we investigate the features of the…

Nuclear Theory · Physics 2025-07-16 J. Rangel , B. Pinheiro , V. A. B. Zagatto , J. Lubian , F. M. Nunes , L. F. Canto