Mixed-Mode Calculations in Nuclear Physics

نویسندگان

  • V. G. Gueorguiev
  • J. P. Draayer
چکیده

The one-dimensional harmonic oscillator in a box problem is used to introduce the concept of a mixed-mode shell-model scheme. The method combines low-lying “pure mode” states of a system to achieve a better description in situations where complete calculations cannot be done and the dynamics is driven by a combination of modes. The scheme is tested for real nuclei by combining traditional spherical states, which yield a diagonal representation of the single-particle interaction, with collective SU(3) configurations that track deformation. An application to the ds-shell Mg nucleus, using the realistic twobody interaction of Wildenthal, is explored to test the validity of the concept. The results shown that the mixed-mode scheme reproduces the correct binding energy of Mg (within 2% of the exact result) as well as low-energy configurations that have greater than 90% overlap with exact solutions in a space that spans less than 10% of the full space. In the pf-shell, the Kuo-Brown-3 interaction is used to illustrate coherent structures of the low-lying states of Cr. Alternative basis sets are suggested for future mixed-mode shell-model studies. Typically, two competing modes characterize the structure of a nuclear system. One is the single-particle mode that is the underpinning of the meanfield concept; the other is the many-particle collective behavior manifested in the nuclear deformation. The spherical shell model is the theory of choice

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hybrid Phantom Applications to Nuclear Medicine

Annually, many people are irradiated for diagnostic and therapeutic purposes. Assessment of radiation dose and its related risks to patients are important issues in radiation protection dosimetry. The complex mathematical calculations of the absorbed and effective doses are now done with computers. The calculations are performed with the help of anthropomorphic computational models of human bod...

متن کامل

Numerical Calculation of Resonant Frequencies and Modes of a Three-Atom Photonic Molecule and a Photonic Crystal in an External Cavity

In the present paper, resonant frequencies and modes of a three-atom photonic molecule and a photonic crystal placed within a cavity are numerically calculated. First, governing formulation in transverse electric field mode (TE) is obtained using Maxwell equations. Then, an algorithm based on a finite difference scheme and matrix algebra is presented. The algorithm is then implemented in a comp...

متن کامل

Enhancement of the Dose on 12 MV Linac with Free Flattening Filter Mode

Purpose: In the last years, some studies investigated dosimetric benefits of a free flattening filter for the photon mode in the radiotherapy field. This study aims to provide a theoretical study published and analysis of basic dosimetric properties for a Saturne 43 Linac head to implement free flattening filter beams clinically. Material and Methods: Thi...

متن کامل

Generator coordinate calculations for breathing-mode giant monopole resonance in the relativistic mean-field theory.

The breathing-mode giant monopole resonance (GMR) is studied within the framework of the relativistic mean-field theory using the Generator Coordinate Method (GCM). The constrained incompressibility and the excitation energy of isoscalar giant monopole states are obtained for finite nuclei with various sets of Lagrangian parameters. A comparison is made with the results of nonrelativistic const...

متن کامل

Mixed-mode shell-model theory for nuclear structure studies

We introduce a shell-model theory that combines traditional spherical states, which yield a diagonal representation of the usual single-particle interaction, with collective configurations that track deformations, and test the validity of this mixed-mode, oblique-basis shell-model scheme on Mg. The correct binding energy ~within 2% of the full-space result! as well as low-energy configurations ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008