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The shell model Monte Carlo (SMMC) approach allows for the microscopic calculation of statistical and collective properties of heavy nuclei using the framework of the configuration-interaction shell model in very large model spaces. We…

核理论 · 物理学 2015-06-23 C. Özen , Y. Alhassid , H. Nakada

We introduce a novel method within the shell model Monte Carlo approach to calculate the ground-state energy of a finite-size system with an odd number of particles by using the asymptotic behavior of the imaginary-time single-particle…

核理论 · 物理学 2015-06-03 Abhishek Mukherjee , Y. Alhassid

The shell model Monte Carlo (SMMC) method is a powerful method for calculating exactly (up to statistical errors) thermal observables and statistical properties of atomic nuclei. However, its application has been limited by a sign problem…

核理论 · 物理学 2025-01-08 Y. Alhassid , P. Fanto , C. Özen

We apply a spin-projection method to calculate microscopically the level densities of a family of nickel isotopes $^{59-64}$Ni using the shell model Monte Carlo approach in the complete $pfg_{9/2}$ shell. Accurate ground-state energies of…

核理论 · 物理学 2016-07-13 M. Bonett-Matiz , Abhishek Mukherjee , Y. Alhassid

The shell-model Monte Carlo (SMMC) technique transforms the traditional nuclear shell-model problem into a path-integral over auxiliary fields. We describe below the method and its applications to four physics issues: calculations of sdpf-…

核理论 · 物理学 2009-10-31 D. J. Dean , J. A. White

The Shell Model Monte Carlo (SMMC) approach has been applied to calculate level densities and partition functions to temperatures up to ~ 1.5 - 2 MeV, with the maximal temperature limited by the size of the configuration space. Here we…

核理论 · 物理学 2009-11-10 Y. Alhassid , G. F. Bertsch , L. Fang

We use the auxiliary-fields Monte Carlo method for the shell model in the complete $(pf+0g_{9/2})$-shell to calculate level densities. We introduce parity projection techniques which enable us to calculate the parity dependence of the level…

核理论 · 物理学 2009-10-30 H. Nakada , Y. Alhassid

The spin and parity dependent nuclear level densities (NLD) are calculated for medium-heavy nuclei using shell model techniques. The NLD are used to calculate cross sections and reaction rates of interest for nuclear astrophysics and…

核理论 · 物理学 2018-01-17 Mihai Horoi , Jayani Dissanayake

Quantum Monte Carlo methods find fruitful application in large shell model problems. These methods reduce the imaginary-time many-body evolution operator to a coherent superposition of one-body evolutions in a fluctuating one-body field;…

核理论 · 物理学 2008-02-03 S. E. Koonin

We present a new combinatorial method for the calculation of the nuclear level density. It is based on a Monte Carlo technique, in order to avoid a direct counting procedure which is generally impracticable for high-A nuclei. The Monte…

核理论 · 物理学 2008-11-26 N. Cerf

The knowledge of the nuclear level density is necessary for understanding various reactions including those in the stellar environment. Usually the combinatorics of Fermi-gas plus pairing is used for finding the level density. Recently a…

核理论 · 物理学 2016-06-22 Roman Sen'kov , Vladimir Zelevinsky

We report on the development of a new shell-model Monte Carlo algorithm which uses the proton-neutron formalism. Shell model Monte Carlo methods, within the isospin formulation, have been successfully used in large-scale shell-model…

核理论 · 物理学 2015-06-26 C. Ozen , D. J. Dean

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…

We introduce spin projection methods in the shell model Monte Carlo approach and apply them to calculate the spin distribution of level densities for iron-region nuclei using the complete $(pf+g_{9/2})$-shell. We compare the calculated…

核理论 · 物理学 2008-11-26 Y. Alhassid , S. Liu , H. Nakada

We investigate the nature and impact of shell effects on nuclear level density (NLD) and particle emission probability as a function of temperature in a microscopic theoretical framework of Statistical Model for nuclei ranging from neutron…

核理论 · 物理学 2023-03-03 Mamta Aggarwal

Simple methods in the frame work of the broken pair model have been worked out for odd-odd nuclei. The reliability of the model has been tested by reproducing the shell model results of limiting cases in which the broken pair model exactly…

核理论 · 物理学 2007-07-01 I. M. Hamammu , S. Haq , J. M. Eldahomi

Accurate knowledge of the nuclear level density is important both from a theoretical viewpoint as a powerful instrument for studying nuclear structure and for numerous applications. For example, astrophysical reactions responsible for the…

核理论 · 物理学 2017-10-10 S. Karampagia , R. A. Senkov , V. Zelevinsky

We introduce a novel method to obtain level densities in large-scale shell-model calculations. Our method is a stochastic estimation of eigenvalue count based on a shifted Krylov-subspace method, which enables us to obtain level densities…

We present calculations of nuclear level densities that are based upon the detailed microphysics of the interacting shell model yet are also computationally tractable. To do this, we combine in a novel fashion several previously disparate…

核理论 · 物理学 2007-05-23 Calvin W. Johnson , Jameel-Un Nabi , W. Erich Ormand

We present Shell Model Monte Carlo calculations for nuclei within the full major shell 50-82 for both protons and neutrons. The interaction is determined solely by self-consistency and odd-even mass differences. The methods are illustrated…

核理论 · 物理学 2009-01-23 Y. Alhassid , G. F. Bertsch , D. J. Dean , S. E. Koonin