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In this work, we examine a numerical phase-field fracture framework in which the crack irreversibility constraint is treated with a primal-dual active set method and a linearization is used in the degradation function to enhance the…

Numerical Analysis · Mathematics 2023-07-05 Leon Maximilian Kolditz , Katrin Mang , Thomas Wick

As a model of a neutron halo nucleus we consider a neutron bound to an inert core by a zero range force. We study the breakup of this simple nucleus in the Coulomb field of a target nucleus. In the post-form DWBA (or, in our simple model…

Nuclear Theory · Physics 2007-05-23 Gerhard Baur , Kai Hencken , Dirk Trautmann

The set of parameters for alpha-nucleus potential is derived by using the data for both the alpha-decay half-lives and the fusion cross-sections around the barrier for reactions alpha+40Ca, alpha+59Co, alpha+208Pb. The alpha-decay…

Nuclear Theory · Physics 2009-11-11 V. Yu. Denisov , H. Ikezoe

In an experiment performed at the Facility for Rare Isotope Beams (FRIB) using the FRIB Decay Station initiator (FDSi), 15 new half lives of isotopes near $^{54}$Ca were measured. A new method of extracting lifetimes from experimental data,…

The possibility to control the $\alpha$ decay channel of atomic nuclei with electromagnetic fields of extreme intensities envisaged for the near future at multi-petawatt and exawatt laser facilities is investigated theoretically. Using both…

Nuclear Theory · Physics 2020-06-24 Adriana Pálffy , Sergey V. Popruzhenko

Cold reaction valleys in the radioactive decay of superheavy nuclei {286}^112, {292}^114 and {296}^116 are studied taking Coulomb and Proximity Potential as the interacting barrier. It is found that in addition to alpha particle, 8^Be,…

Nuclear Theory · Physics 2015-06-05 K. P. Santhosh , Sabina Sahadevan

An effective theory to treat the dense nuclear medium by the perturbative expansion method is proposed as a natural extension of the Heavy Baryon Chiral Perturbation Theory (HBChPT). Treating the Fermi momentum scale as a separate scale of…

High Energy Physics - Phenomenology · Physics 2007-05-23 Masayasu Harada , Dong-Pil Min , Tae-Sun Park , Chihiro Sasaki , Chaejun Song

High precision angular distribution data of ($\alpha$,$\alpha$) elastic scattering are presented for the nuclei $^{89}$Y, $^{92}$Mo, $^{106,110,116}$Cd, $^{112,124}$Sn, and $^{144}$Sm at energies around the Coulomb barrier. Such data with…

Nuclear Experiment · Physics 2015-05-05 P. Mohr , G. G. Kiss , Zs. Fülöp , D. Galaviz , Gy. Gyürky , E. Somorjai

In the present work, we systematically study the $\mathcal{\alpha}$ decay preformation factors $P_{\alpha}$ within the cluster-formation model and $\mathcal{\alpha}$ decay half-lives by the proximity potential 1977 formalism for nuclei…

Nuclear Theory · Physics 2019-04-18 Jun-Gang Deng , Jie-Cheng Zhao , Peng-Cheng Chu , Xiao-Hua Li

A phenomenological alpha-cluster model based on np-pair interactions and the charge symmetry of nuclear force allows one to estimate the Coulomb energy, the Coulomb radius R_C, the Coulomb energy of the last proton interaction with the…

Nuclear Theory · Physics 2018-06-26 G. K. Nie

We consider the overdamped Brownian dynamics of a particle starting inside a square potential well which, upon exiting the well, experiences a flat potential where it is free to diffuse. We calculate the particle's probability distribution…

Statistical Mechanics · Physics 2021-07-14 Oded Farago

The neutron and proton scattering with either deuteron or stable alpha particle can be modeled as a two particle system. In this paper, using Morse function as reference potential, inverse potentials have been computationally constructed…

Nuclear Theory · Physics 2022-09-27 Lalit Kumar , Shikha Awasthi , Anil Khachi , O. S. K. S Sastri

We present a microscopic model for the calculation of alpha-decay half lives employing potentials obtained from relativistic and non-relativistic self-consistent mean-field models. The nuclear and Coulomb potentials are used to obtain the…

Nuclear Theory · Physics 2009-11-11 Z. A. Dupre , T. J. Buervenich

We study weakly-bound deformed nuclei based on the coordinate-space Skyrme Hartree-Fock-Bogoliubov approach, in which a large box is employed for treating the continuum and surface diffuseness. Approaching the limit of core-halo deformation…

Nuclear Theory · Physics 2015-06-12 J. C. Pei , Y. N. Zhang , F. R. Xu

The study of nuclear breakup of halo and weakly bound particles has been one of the key ingredients in the understanding of exotic nuclei during the last thirty years. One of the most used methods to analyse data, in particular absolute…

Nuclear Theory · Physics 2018-09-14 Angela Bonaccorso , David M. Brink

Lifetime values for alpha decay in even-even nuclei with $Z=84-98$ and $N=128-152$ have been calculated in the superasymmetric fission model. The interaction between the alpha particle and the daughter nucleus has been formed in the double…

Nuclear Theory · Physics 2008-11-26 Madhubrata Bhattacharya , Subinit Roy , G. Gangopadhyay

Linear scaling quantum chemical methods for Density Functional Theory are extended to the condensed phase at the $\Gamma$-point. For the two-electron Coulomb matrix, this is achieved with a tree-code algorithm for fast Coulomb summation [J.…

Materials Science · Physics 2009-11-10 C. J. Tymczak , Matt Challacombe

Based on the quantum interference between two-identical-nucleus scattering at energies around the Coulomb barrier, the barrier positions for $^{58}$Ni+$^{58}$Ni and $^{16}$O+$^{16}$O are extracted from Mott oscillations in the angular…

Nuclear Theory · Physics 2018-07-31 Ning Wang , Yongxu Yang , Min Liu , Chengjian Lin

The nonmesonic weak decay of $\Lambda$ hypernuclei is studied using nuclear matter. We have developed a formalism which gives a microscopic interpretation of the process of emission of particles originated in this decay. More specifically,…

Nuclear Theory · Physics 2015-06-26 E. Bauer

A consistent microscopic diagrammatic approach is applied for the first time to the calculation of the nucleon emission spectra in the non-mesonic weak decay of Lambda-hypernuclei. We adopt a nuclear matter formalism extended to finite…

Nuclear Theory · Physics 2015-03-19 E. Bauer , G. Garbarino