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Based on a simplest molecular orbital theory of H$_{2}^{+}$, a three-parameter model potential function is proposed to describe ground-state diatomic systems with closed-shell and/or S-type valence-shell constituents over a significantly…

Chemical Physics · Physics 2009-11-11 Rui-Hua Xie , Jiangbin Gong

We apply the realistic shell model which includes the coupling between many-particle (quasi-)bound states and the continuum of one-particle scattering states, called the Shell Model Embedded in the Continuum, to the spectroscopy of mirror…

Nuclear Theory · Physics 2009-10-31 K. Bennaceur , F. Nowacki , J. Okolowicz , M. Ploszajczak

At finite temperatures ($\geq 10^7$K), $^{76}$Se is abundant in the core of massive stars and electron capture on $^{76}$Se has a consequential role to play in the dynamics of core collapse. The present work may be classified into two main…

Nuclear Theory · Physics 2025-03-12 Jameel-Un Nabi , Mavra Ishfaq , Mahmut Boyukata , Muhammad Riaz

Entropy weak solutions with bounded periodic initial data are considered for the system of weakly nonlinear gas dynamics. Through a modified Glimm scheme, an approximate solution sequence is constructed, and then a priori estimates are…

Analysis of PDEs · Mathematics 2016-06-03 Peng Qu , Zhouping Xin

Background: Deformed neutron-rich magnesium isotopes constitute a fascinating territory where the interplay between collective rotation and single-particle motion is strongly affected by the neutron continuum. The unbound $fp$-shell nucleus…

Nuclear Theory · Physics 2016-11-07 K. Fossez , J. Rotureau , N. Michel , Quan Liu , W. Nazarewicz

A method for calculation of Gamow-Teller transition rates is developed by using the concept of the Projected Shell Model (PSM). The shell model basis is constructed by superimposing angular-momentum-projected multi-quasiparticle…

Nuclear Theory · Physics 2008-11-26 Zao-Chun Gao , Yang Sun , Y. -S. Chen

The structure of the unbound $^{15}$F nucleus is investigated using the inverse kinematics resonant scattering of a radioactive $^{14}$O beam impinging on a CH$_2$ target. The analysis of $^{1}$H($^{14}$O,p)$^{14}$O and…

Weakly bound states often occur in nuclear physics. To precisely understand their properties, the coupling to the continuum should be worked out explicitely. In a first step, we use a simple nuclear model in the continuum and on a lattice…

Nuclear Theory · Physics 2020-12-21 J. -J. Wu , Ulf-G. Meißner

In most nuclear many-body methods, observables are calculated using many-body wave functions explicitly. The variational two-particle reduced density matrix method is one of the few exceptions to the rule. Ground-state energies of both…

Nuclear Theory · Physics 2021-07-07 J. G. Li , N. Michel , W. Zuo , F. R. Xu

A technique for describing scattering states within the nuclear shell model is proposed. This technique is applied to scattering of nucleons by $\alpha$ particles based on ab initio No-Core Shell Model calculations of $^5$He and $^5$Li…

Nuclear Theory · Physics 2016-04-19 I. A. Mazur , A. M. Shirokov , A. I. Mazur , J. P. Vary

After a brief review of the theoretical description of nuclei based on nonrelativistic many-body theory and realistic hamiltonians, these lectures focus on its application to the analysis of the electroweak response. Special emphasis is…

Nuclear Theory · Physics 2015-05-13 Omar Benhar

The weak turbulence model, also known as the quasilinear theory in plasma physics, has been a cornerstone in modeling resonant particle-wave interactions in plasmas. This reduced model stems from the Vlasov-Poisson/Maxwell system under the…

Analysis of PDEs · Mathematics 2024-11-14 Kun Huang , Irene M. Gamba

We provide an investigation of the spectroscopic factor of resonance states in $A =5-8$ nuclei, utilizing the Gamow shell model (GSM). Within the GSM, the configuration mixing is taken into account exactly with the shell model framework,…

Nuclear Theory · Physics 2024-06-11 M. R. Xie , J. G. Li , N. Michel , H. H. Li , W. Zuo

Sturmian theory for nucleon-nucleus scattering is discussed in the presence of all the phenomenological ingredients necessary for the description of weakly-bound (or particle-unstable) light nuclear systems. Currently, we use a macroscopic…

Nuclear Theory · Physics 2008-11-26 L. Canton , K. Amos , S. Karataglidis , G. Pisent , J. P. Svenne , D. van der Knijff

The intrinsic dynamics of a system with open decay channels is described by an effective non-Hermitian Hamiltonian which at the same time allows one to find the external dynamics, - reaction cross sections. We discuss ways of incorporating…

Nuclear Theory · Physics 2009-11-07 Alexander Volya , Vladimir Zelevinsky

We consider collisional properties of weakly bound heteronuclear molecules (dimers) formed in a two-species mixture of atoms with a large mass difference. We focus on dimers containing light fermionic atoms as they manifest collisional…

Statistical Mechanics · Physics 2008-03-15 B. Marcelis , S. J. J. M. F. Kokkelmans , G. V. Shlyapnikov , D. S. Petrov

A realistic description of halo nuclei, characterized by low-lying breakup thresholds, requires a proper treatment of continuum effects. We have developed an ab initio approach, the no-core shell model with continuum (NCSMC), capable of…

Nuclear Theory · Physics 2026-05-26 Petr Navratil , Sofia Quaglioni , Guillaume Hupin , Michael Gennari , Kostas Kravvaris

An experimental overview of reactions induced by the stable, but weakly-bound nuclei 6Li, 7Li and 9Be, and by the exotic, halo nuclei 6He, 8B, 11Be and 17F on medium-mass targets, such as 58Ni, 59Co or 64Zn, is presented. Existing data on…

I review the current status of understanding the mechanism of the nonmesonic weak decays (NMWD) of hypernuclei. Long standing problem on the Gamma_n/Gamma_p ratio has been solved by considering short-range weak interactions properly. This…

Nuclear Theory · Physics 2009-11-10 Makoto Oka

We present a new and efficient method to obtain a Gamow shell-model basis and matrix elements generated by realistic nucleon-nucleon interactions. We derive a self-consistent Hartree-Fock potential from the renormalized N3LO interaction…

Nuclear Theory · Physics 2011-07-19 G. Hagen , M. Hjorth-Jensen , N. Michel