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We reexamine the Glauber model and calculate the total reaction cross section as a function of energy in the low and intermediate energy range, where many of the corrections in the model, are effective. The most significant effect in this…

Nuclear Theory · Physics 2008-11-26 Prashant Shukla

This work is concerned with the theoretical study of nuclear reactions between light charged ions at incident energies around and below the reactants Coulomb barrier, with a focus on the energy range of astrophysical interest for Big Bang…

Nuclear Theory · Physics 2023-07-06 Salvatore Simone Perrotta

Analytical expressions are derived for classical trajectories in repulsive Coulomb plus multi-step attractive potentials. Thereafter the closed form expressions are obtained for classical deflection functions. The expressions are expected…

Nuclear Theory · Physics 2007-05-23 S. K. Gupta , Arun K. Jain , B. M. Jyrwa

{\it Ab initio} quantum-mechanical calculations of the differential and integrated cross sections of the elastic scattering, Stark transitions, and Coulomb de-excitation at collisions of excited $\mu^- p$ and $\mu^- d$ atoms with hydrogen…

Nuclear Theory · Physics 2017-03-03 V. P. Popov , V. N. Pomerantsev

A geometric model for the direct contribution of the reaction cross section induced by light ions on different targets is presented. The model separates the total reaction cross section into two components, one for total fusion and another…

Nuclear Theory · Physics 2023-06-26 A. Serra , R. Lichtenthäler , O. C. B. Santos , K. C. C. Pires , U. Umbelino

Formally, the cross section for producing a heavy evaporation residue, {\sigma}EVR, in a fusion reaction can be written as. \begin{equation} \sigma_{\rm EVR}(E)=\frac{\pi h^2}{2\mu E}\sum\limits_{\ell=0}^\infty (2\ell+1)T(E,\ell)P_{\rm…

Nuclear Experiment · Physics 2017-12-06 Walter Loveland , Larry Yao

The quantum normal form approach to quantum transition state theory is used to compute the cumulative reaction probability for collinear exchange reactions. It is shown that for heavy atom systems like the nitrogen exchange reaction the…

Chemical Physics · Physics 2010-03-17 Arseni Goussev , Roman Schubert , Holger Waalkens , Stephen Wiggins

We develop general formalism of how to relate cross-section for exclusive processes to spatial image of reaction area. More precisely we show how to determine the spatial distribution of outgoing particles in the space of so-called nearest…

High Energy Physics - Phenomenology · Physics 2011-11-10 N. Bobrovskaya , M. V. Polyakov , A. N. Vall , A. A. Vladimirov

Elastic scattering cross sections of the $^{89}$Y($\alpha$,$\alpha$)$^{89}$Y reaction have been measured at energies E$_{c.m.}$ = 15.51 and 18.63 MeV. The high precision data for the semi-magic $N = 50$ nucleus $^{89}$Y are used to derive a…

A new method for the determination of the real part of the elastic scattering amplitude is examined for high energy proton-proton at small momentum transfer. This method allows us to decrease the number of model assumptions, to obtain the…

High Energy Physics - Phenomenology · Physics 2007-05-23 P. Gauron , B. Nicolescu , O. V. Selyugin

We use a three-body Continuum Discretized Coupled Channel (CDCC) model to investigate Coulomb and nuclear effects in breakup and reaction cross sections. The breakup of the projectile is simulated by a finite number of square integrable…

Nuclear Theory · Physics 2017-03-22 Pierre Descouvemont , L. Felipe Canto , Mahir S. Hussein

A recently proposed method based on dispersion theory, that allows to extract the scattering length of a hadronic two-body system from corresponding final-state interactions, is generalized to the situation where the Coulomb interaction is…

Nuclear Theory · Physics 2009-11-11 A. Gasparyan , J. Haidenbauer , C. Hanhart

A model for hot-fusion reactions leading to the synthesis of super-heavy nuclei is discussed. The values of the hot-fusion cross-sections obtained in the model agree with the available experimental data. The hot-fusion cross-sections are…

Nuclear Theory · Physics 2023-12-29 V. Yu. Denisov

In this contribution, I present a short overview of the theory of direct nuclear reactions, with special emphasis on the case of reactions induced by weakly-bound nuclei. After introducing some general results of quantum scattering theory,…

Nuclear Theory · Physics 2019-02-06 Antonio M. Moro

The elastic scattering, Stark transitions and Coulomb deexcitation of excited antiprotonic hydrogen atom in collisions with hydrogenic atom have been studied in the framework of the fully quantum-mechanical close-coupling method for the…

Nuclear Theory · Physics 2007-05-23 V. P. Popov , V. N. Pomerantsev

A computer program is presented which calculates the elastic and inelastic scattering in intermediate and high energy nuclear collisions. A coupled-channels method is used for Coulomb and nuclear excitations of E1, E2, E3, M1, and M2…

Nuclear Theory · Physics 2014-11-18 C. A. Bertulani , C. M. Campbell , T. Glasmacher

The measurements of high energy \bar p p and pp elastic at ISR, SPS and Tevatron colliders have provided usefull informations on the behavior of the scattering amplitude. A large step in energy domain is accomplished with the LHC collider…

High Energy Physics - Phenomenology · Physics 2015-06-15 Jacques Soffer

We report on a successful attempt to extract the cross-section for the high-energy scattering of colour dipoles of fixed transverse size off protons using electroproduction and photoproduction total cross-section data, subject to the…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. R. Forshaw , G. Kerley , G. Shaw

A theory of short-range correlations in two-nucleon removal due to elastic breakup (diffraction dissociation) on a light target is developed. Fingerprints of these correlations will appear in momentum distributions of back-to-back emission…

Nuclear Theory · Physics 2009-11-11 C. A. Bertulani

The nuclear fusion is a reaction to form a compound nucleus. It plays an important role in several circumstances in nuclear physics as well as in nuclear astrophysics, such as synthesis of superheavy elements and nucleosynthesis in stars.…

Nuclear Theory · Physics 2016-07-20 K. Hagino , N. Rowley , J. M. Yao