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This work describes a few-body dynamics method based on the Faddeev integral equations in momentum space for determining the total cross sections of fusion and breakup reactions with two- and three-body final channels in the continuum,…

Nuclear Theory · Physics 2026-04-27 Mikhail Egorov

The influence on fusion of coupling to the breakup process is investigated for reactions where at least one of the colliding nuclei has a sufficiently low binding energy for breakup to become an important process. Elastic scattering,…

Nuclear Theory · Physics 2008-11-26 C. Beck , N. Keeley , A. Diaz-Torres

Basing on the thickness (profile) function, previously obtained for the realistic Fermi type distribution of nucleons in nuclei, calculations are made of the microscopic eikonal phases of the nucleus-nucleus scattering and the total…

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

The production of $\alpha$-particles in reactions using both the strongly and weakly bound projectiles at energies around the Coulomb barrier show several interesting features. To understand these, the role of various reaction mechanisms…

Nuclear Experiment · Physics 2020-01-09 V. V. Parkar , V. Jha , S. Kailas

A theoretical model able to describe fragmentation reactions of three--body halo nuclei on different targets, from light to heavy, is used to compute neutron and core momentum distributions. Both Coulomb and nuclear interactions are…

Nuclear Theory · Physics 2009-11-06 E. Garrido , D. V. Fedorov , A. S. Jensen

In this contribution, the eikonal approximation developed by Roy Glauber to describe high-energy quantum collisions is presented. This approximation has been-and still is-extensively used to analyse reaction measurements performed to study…

Nuclear Theory · Physics 2019-12-17 Pierre Capel

A microscopic formalism for describing observed cross sections for deuteron breakup by three-nucleon nuclei was developed on the basis of the diffraction nuclear model. A general formula that describes the amplitude for the reaction…

Nuclear Theory · Physics 2016-07-04 Valery Kovalchuk

A phase space coalescence description based on the Wigner-function method for cluster formation in relativistic nucleus-nucleus collisions is presented. The momentum distributions of nuclear clusters d,t and He are predicted for central…

Nuclear Theory · Physics 2008-11-26 R. Mattiello , H. Sorge , H. Stöcker , W. Greiner

This paper gives new insight to the study of dynamical effects in proton breakup as compared to neutron breakup from a weakly bound state in an exotic nucleus. Following our recent work [Ravinder Kumar and Angela Bonaccorso, Phys. Rev. C84…

Nuclear Theory · Physics 2015-06-12 Ravinder Kumar , Angela Bonaccorso

The reaction mechanism of projectile fragmentation at intermediate energies has been investigated observing the target dependence of the production cross sections of very neutron-rich nuclei. Measurement of longitudinal momentum…

A relationship between the Coulomb inclusive break-up probability and the radiative capture reaction rate for weakly-bound three-body systems is established. This direct link provides a robust procedure to estimate the reaction rate for…

Nuclear Theory · Physics 2016-04-22 J. Casal , M. Rodríguez-Gallardo , J. M. Arias , J. Gómez-Camacho

The fundamental description of both structural properties and reactions of light nuclei in terms of constituent protons and neutrons interacting through nucleon-nucleon and three-nucleon forces is a long-sought goal of nuclear theory. I…

The theory of weakly bound cluster breakup, like halo nucleus breakup, needs an accurate treatment of the transitions from bound to continuum states induced by the nuclear and Coulomb potentials. When the transition probability is not very…

Nuclear Theory · Physics 2009-11-10 J. Margueron , A. Bonaccorso , D. M. Brink

A new method that accurately describes strongly correlated states and captures dynamical correlation is presented. It is derived as a modification of coupled-cluster theory with single and double excitations (CCSD) through consideration of…

Chemical Physics · Physics 2013-07-15 Daniel Kats , Frederick R. Manby

Halo nuclei are exotic nuclei which exhibit a strongly clusterised structure: they can be seen as one or two valence nucleons loosely bound to a core. Being observed at the ridge of the valley of stability, halo nuclei are studied mostly…

Nuclear Theory · Physics 2015-06-12 P. Capel , F. M. Nunes , H. Esbensen , R. C. Johnson

A variational technique to describe the ground and scattering states below the break-up threshold for a three-nucleon system is developed. The method consists in expanding the wave function in terms of correlated Harmonic Hyperspherical…

Nuclear Theory · Physics 2009-10-30 A. Kievsky , M. Viviani , S. Rosati

The heaviest particle-bound carbon isotope, $^{22}$C, is thought to have a Borromean three-body structure. We discuss and compare four-body, i.e. three-body projectile plus target, reaction model calculations of reaction cross sections for…

Nuclear Theory · Physics 2015-06-18 Y. Kucuk , J. A. Tostevin

Complete fusion excitation functions of reactions involving breakup are studied by using the empirical coupled-channel (ECC) model with breakup effects considered. An exponential function with two parameters is adopted to describe the…

Nuclear Theory · Physics 2016-01-25 Bing Wang , Wei-Juan Zhao , Alexis Diaz-Torres , En-Guang Zhao , Shan-Gui Zhou

The contribution of the two-nucleon emission in the longitudinal response for inclusive electron scattering reactions is studied. The model adopted to perform the calculations is based upon Correlated Basis Function theory but it considers…

Nuclear Theory · Physics 2008-11-26 Giampaolo Co' , Antonio M. Lallena

A new method of pseudo-state discretization is proposed for the method of continuum discretized coupled channels (CDCC) to deal with three-body breakup processes. We propose real- and complex-range Gaussian bases for the pseudo-state wave…

Nuclear Theory · Physics 2009-11-10 T. Matsumoto , T. Kamizato , K. Ogata , Y. Iseri , E. Hiyama , M. Kamimura , M. Yahiro