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Nuclear Astrophysics requires the knowledge of reaction rates over a wide range of nuclei and temperatures. In recent calculations the nuclear level density - as an important ingredient to the statistical model (Hauser-Feshbach) - has shown…

Astrophysics · Physics 2009-10-28 T. Rauscher , F. -K. Thielemann , K. -L. Kratz

Model calculations of nuclear properties are peformed using quantum computing algorithms on simulated and real quantum computers. The models are a realistic calculation of deuteron binding based on effective field theory, and a simplified…

Nuclear Theory · Physics 2022-05-12 Isaac Hobday , Paul D Stevenson , James Benstead

A new method for calculation of shell model intrinsic density matrices, defined as two-particle density matrices integrated over the centre-of-mass position vector of two last particles and complemented with isospin variables, has been…

Nuclear Theory · Physics 2007-05-23 A. Deveikis , G. Kamuntavicius

Microscopic Combinatorial approach is used to calculate the state and level densities with fixed exciton numbers, in some actinide nuclei. Deformed Saxon-Woods shell model was used as a basis from which all posible configurations were…

Nuclear Theory · Physics 2019-08-17 F. Garcia , O Rodriguez , F. Guzman , H. Dias , J. D. T Arruda-Neto , M. S. Hussein , A. K. Kerman

Kernel density estimation is a convenient way to estimate the probability density of a distribution given the sample of data points. However, it has certain drawbacks: proper description of the density using narrow kernels needs large data…

Data Analysis, Statistics and Probability · Physics 2015-02-27 Anton Poluektov

Conventional diagonalization methods to calculate nuclear energy levels in the framework of the configuration-interaction (CI) shell model approach are prohibited in very large model spaces. The shell model Monte Carlo (SMMC) is a powerful…

Nuclear Theory · Physics 2025-01-08 Y. Alhassid , M. Bonett-Matiz , C. N. Gilbreth , S. Vartak

While the shell model Monte Carlo approach has been successful in the microscopic calculation of nuclear state densities, it has been difficult to calculate accurately state densities of odd-even heavy nuclei. This is because the projection…

Nuclear Theory · Physics 2013-04-30 C. Özen , Y. Alhassid , H. Nakada

The dependence of the nuclear level density on intrinsic deformation is an important input to dynamical nuclear processes such as fission. Auxiliary-field Monte Carlo (AFMC) method is a powerful method for computing nuclear level densities.…

Nuclear Theory · Physics 2018-09-26 M. T. Mustonen , C. N. Gilbreth , Y. Alhassid , G. F. Bertsch

A systematic study of nuclear level densities has been carried out within the relativistic Hartree-Bogoliubov plus combinatorial framework. Calculations were performed for even-even nuclei with available experimental data, based on the…

Nuclear Theory · Physics 2026-05-07 Pengxiang Du , Jian Li

An important input into reaction theory is the density of states or the level density. Spectral distribution theory (also known as nuclear statistical spectroscopy) characterizes the secular behavior of the density of states through moments…

Nuclear Theory · Physics 2015-06-26 Edgar Teran , Calvin W. Johnson

In the independent-particle model, the nuclear level density is determined from the neutron and proton single-particle level densities. The single-particle level density for the positive-energy continuum levels is important at high…

Nuclear Theory · Physics 2009-11-10 R. J. Charity , L. G. Sobotka

We extend the shell-model Monte Carlo applications to the rare-earth region to include the odd-even nucleus ${}^{161}$Dy. The projection on an odd number of particles leads to a sign problem at low temperatures making it impractical to…

Nuclear Theory · Physics 2015-06-05 Cem Özen , Yoram Alhassid , Hitoshi Nakada

We systematically study the nuclear level densities of superheavy nuclei, including odd systems, using the single-particle energies obtained with the Woods-Saxon potential diagonalization. Minimization over many deformation parameters for…

The response function approach is proposed to include vibrational state in calculation of level density. The calculations show rather strong dependence of level density on the relaxation times of collective state damping.

Nuclear Theory · Physics 2017-08-23 V. A. Plujko , A. N. Gorbachenko

An electron density functional approach for the calculation of the nuclear multipole moments is presented. The electronic matrix elements entering the experimentally observed hyperfine electron-nucleus interaction constants in atoms are…

Nuclear Theory · Physics 2007-05-23 R. L. Pavlov , P. P. Raychev , V. P. Garistov , M. Dimitrova-Ivanovich , J. Maruani

We calculate microscopically total and parity-projected level densities for $\beta$-stable even-even nuclei between Fe and Ge, using the shell model Monte Carlo methods in the complete $(pf+0g_{9/2})$-shell. A single-particle level density…

Nuclear Theory · Physics 2009-10-31 H. Nakada , Y. Alhassid

A fully microscopic model for the description of nuclear level density (NLD) in spherical nuclei is proposed. The model is derived by combining the partition function of the exact pairing solution plus the independent-particle model at…

Nuclear Theory · Physics 2020-12-02 N. Quang Hung , N. Dinh Dang , L. Tan Phuc , N. Ngoc Anh , T. Dong Xuan , T. V. Nhan Hao

Rigorous statistical methods for estimating thermonuclear reaction rates and nucleosynthesis are becoming increasingly established in nuclear astrophysics. The main challenge being faced is that experimental reaction rates are highly…

Nuclear Experiment · Physics 2015-06-22 Christian Iliadis , Richard Longland , Alain Coc , F. X. Timmes , Art E. Champagne

A highly efficient formulation of moment equations for stochastic reaction networks is introduced. It is based on a set of binomial moments that capture the combinatorics of the reaction processes. The resulting set of equations can be…

Statistical Mechanics · Physics 2015-05-20 Baruch Barzel , Ofer Biham

We demonstrate that the matter density distribution in the surface region is determined well by the use of the relatively low-intensity beams that become available at the upcoming radioactive beam facilities. Following the method used in…

Nuclear Theory · Physics 2009-11-07 Akihisa Kohama , Ryoichi Seki , Akito Arima , Shuhei Yamaji