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We review the recent progress on studying the nuclear collective dynamics by solving the Boltzmann-Uehling-Uhlenbeck (BUU) equation with the lattice Hamiltonian method treating the collision term by the full-ensemble stochastic collision…

Nuclear Theory · Physics 2020-10-16 Rui Wang , Zhen Zhang , Lie-Wen Chen , Yu-Gang Ma

Rather than using the geometric method employed in the original Extended Quantum Molecular Dynamics (EQMD) model, this article employs a stochastic approach to analyze the collision term and examine the width of the isovector giant dipole…

Nuclear Theory · Physics 2026-02-25 Chen-Zhong Shi , Xiang-Zhou Cai , Yu-Gang Ma

We study the nuclear iso-scalar giant quadruple resonance~(ISGQR) based on the Boltzmann-Uehling-Uhlenbeck~(BUU) transport equation. The mean-field part of the BUU equation is described by the Skyrme nucleon-nucleon effective interaction,…

Nuclear Theory · Physics 2021-10-13 Yi-Dan Song , Rui Wang , Zhen Zhang , Yu-Gang Ma

A phenomenological macroscopic model of the Giant Dipole Resonance (GDR) damping width of cold- and hot-nuclei with ground-state spherical and near-spherical shapes is developed. The model is based on a generalized Fermi Liquid model which…

Nuclear Theory · Physics 2009-11-07 S. F. Mughabghab , A. A. Sonzogni

We have studied the isoscalar giant quadruple resonance (ISGQR) and the isovector giant dipole resonance (IVGDR) in $^{208}$Pb based on an improved isospin-dependent Boltzmann-Uehling-Uhlenbeck transport approach using an improved isospin-…

Nuclear Theory · Physics 2020-08-07 Jun Xu , Wen-Tao Qin

The systematic study of the correlation between the experimental giant dipole resonance (GDR) width and the average deformation <\beta> of the nucleus at finite excitation is presented for the mass region A ~ 59 to 208. We show that the…

The properties of the giant-dipole resonance (GDR) are calculated as a function of excitation energy, angular momentum, and the compound nucleus particle decay width in the nuclei $^{120}$Sn and $^{208}$Pb, and are compared with recent…

Nuclear Theory · Physics 2009-10-30 W. E. Ormand , P. F. Bortignon , R. A. Broglia , A. Bracco

We use the Burnett spectral method to solve the Boltzmann equation whose collision term is modeled by separate treatments for the low-frequency part and high-frequency part of the solution. For the low-frequency part representing the sketch…

Numerical Analysis · Mathematics 2021-10-25 Zhenning Cai , Yanli Wang

We apply the collision-based hybrid introduced in \cite{hauck} to the Boltzmann equation with the BGK operator and a hyperbolic scaling. An implicit treatment of the source term is used to handle stiffness associated with the BGK operator.…

Numerical Analysis · Mathematics 2023-06-21 Minwoo Shin , Cory D. Hauck , Ryan G. McClarren

The Boltzmann-Uehling-Uhlenbeck (BUU) Model, which includes the Fermi motion, the mean field, individual nucleon-nucleon (N-N) interactions and the Pauli blocking effect etc., is used to calculate the total reaction cross section $\sigma_R$…

Nuclear Theory · Physics 2009-11-10 C. Zhong , X. Z. Cai , W. Q. Shen , H. Y. Zhang , Y. B. Wei , J. G. Chen , Y. G. Ma , W. Guo , D. Q. Fang

The high-order hybridizable discontinuous Galerkin (HDG) method combining with an implicit iterative scheme is used to find the steady-state solution of the Boltzmann equation with full collision integral on two-dimensional triangular…

Fluid Dynamics · Physics 2020-02-19 Wei Su , Peng Wang , Yonghao Zhang , Lei Wu

The giant dipole resonance's (GDR) width and shape at finite temperature and angular momentum are described within the phonon damping model (PDM), which predicts an overall increase in the GDR's total width at low and moderate temperature…

Nuclear Theory · Physics 2015-06-11 Nguyen Dinh Dang

A detailed derivation of the collisional widths of collective vibrations is presented in both quantal and semi-classical frameworks by considering the linearized limits of the extended TDHF and the BUU model with a non-Markovian binary…

Nuclear Theory · Physics 2008-11-26 S. Ayik , O. Yilmaz , A. Gokalp , P. Schuck

Photonuclear reactions at energies covering the giant dipole resonance (GDR) region are analyzed with an approach based on nuclear photoabsorption followed by the process of competition between light particle evaporation and fission for the…

Nuclear Theory · Physics 2010-06-28 Tapan Mukhopadhyay , D. N. Basu

Recently, a variant of the Bohr Hamiltonian was proposed where the mass term is allowed to depend on the beta variable of nuclear deformation. Analytic solutions of this modified Hamiltonian have been obtained using the Davidson and the…

Nuclear Theory · Physics 2019-12-25 D. Petrellis , Dennis Bonatsos , N. Minkov

The energy spectrum of the high energy gamma-rays in coincidence with the prompt gamma rays has been measured for the spontaneous fission of 252Cf. The nucleus-nucleus coherent bremsstrahlung of the accelerating fission fragments is…

Nuclear Experiment · Physics 2014-11-20 Deepak Pandit , S. Mukhopadhyay , Srijit Bhattacharya , Surajit Pal , A. De , S. R. Banerjee

The Boltzmann equation, an integro-differential equation for the molecular distribution function in the physical and velocity phase space, governs the fluid flow behavior at a wide range of physical conditions, including compressible,…

Computational Physics · Physics 2018-11-15 Shashank Jaiswal , Alina A. Alexeenko , Jingwei Hu

The pygmy dipole resonance (PDR) is studied in various medium-heavy nuclei by using a Gogny interaction in a self-consistent Hartree-Fock plus Random Phase Approximation method. We compare the details of the PDR structure with those of the…

Nuclear Theory · Physics 2015-06-15 G. Co' , V. De Donno , M. Anguiano , A. M. Lallena

We study mutual dissociation of heavy nuclei in peripheral collisions at ultrarelativistic energies. Earlier this process was proposed for beam luminosity monitoring via simultaneous registration of forward and backward neutrons in zero…

Nuclear Theory · Physics 2008-11-26 I. A. Pshenichnov , J. P. Bondorf , I. N. Mishustin , A. Ventura , S. Masetti

The Lippmann-Schwinger equation for the nucleon-nucleon $t$-matrix as well as the corresponding Bethe-Goldstone equation to determine the Brueckner reaction matrix in nuclear matter are reformulated in terms of the resolvents for the total…

Nuclear Theory · Physics 2016-09-21 H. Müther , O. A. Rubtsova , V. I. Kukulin , V. N. Pomerantsev
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