• Home
  • Search
  • The $^{12}C$ continuum in a microscopic coupled channel calculation
  • https://doi.org/10.15120/gr-2014-1-theory-02Copy DOI Icon

The $^{12}C$ continuum in a microscopic coupled channel calculation

  • Abstract
  • Literature Map
  • Similar Papers
Abstract

For the description of scattering processes and resonances a proper treatment of the continuum is necessary. To achieve such a description in a microscopic many-body approach one has to connect compact configurations that describe the internal part of the wave function with external cluster configurations representing the open channels. We have developed such an approach within fermionic molecular dynamics (FMD). FMD uses a wave-packet basis that allows to describe the internal parts of the wave function and the external cluster channels on equal footing. The matching to the asymptotic behavior as given by two point-like clusters interacting only via Coulomb is performed in the microscopic R-matrix formalism. As a first example we discuss the continuum states in C. We previously studied C in bound state approximation [1]. The focus was on the properties of the Hoyle state, which lies just above the Be-He threshold. Whereas the bound state approximation is expected to work well for a very narrow resonance like the Hoyle state this is no longer true for other resonances like the second 2 state. The resonance position and width for this state could only be determined very recently by direct excitation with photons [2]. The existence and the nature of other states in the continuum is still hotly debated. To address these questions we extend our calculations with a proper treatment of the continuum. Before doing the full FMD calculation a study within the microscopic αcluster model has been performed. The microscopic cluster model with full antisymmetrization and employing a phenomenological two-body interaction proved to be successful in describing many properties of C. In the internal region the Hilbert space is built from three-α configurations on a triangular grid. In the external region Be-He configurations are added. The Be eigenstates are obtained in bound state approximation by diagonalizating configurations up to 9 fm distance. Our results will have to be checked for convergence with respect to increasing the number of included Be (pseudo-) states. Technically the challenge is related to the restoration of rotational symmetry. First the intrinsic wave functions for Be have to be projected on good angular momentum. In a second step the Be-He configurations (with different orientations of the Be spin) have to be projected on total angular momentum. For solving the Schrodinger equation with the microscopic R-matrix method, Hamiltonian and norm kernels for the different channels have to be calculated. In Fig. 1 the calculated phase shifts (from the diagonal

Similar Papers
  • Research Article
  • Citations1

Analysis Study of Fuzzy C-Mean Algorithm Implemented on Abnormal MR Brain Images

  • Jun 18, 2015
  • Figshare
  • Journals Iosr +3
  • Research Article
  • Citations3

Crude Protein Profiling of Varieties of Capsicum annuum and Capsicum frutescens using SDS-PAGE.

  • May 12, 2015
  • Figshare
  • Journals Iosr +2
  • Research Article

Efficient and Secure Key Management Scheme for Mobile Ad Hoc Networks

  • Aug 22, 2015
  • Figshare
  • M El-Bashary +2
  • Research Article

Recent Advances in Modularity Optimization and Their Application in Retailing

  • Jan 01, 2014
  • Repository KITopen (Karlsruhe Institute of Technology)
  • Andreas Geyer-Schulz +1
  • Research Article

Dense Stellar Systems– Old and Young MODEST-5b

  • Jul 16, 2004
  • Astronomische Nachrichten
  • Spurzem +13
  • Research Article
  • Citations2

Dynamic Layered Clustering Routing Algorithm in Underwater Sensor Networks

  • Jun 19, 2015
  • 电子与信息学报
  • Hong Chang-Jian +2
  • Conference Article

Energy-efficient Clustering with Fast Data Compression in Sensor Networks

  • Nov 09, 2006
  • Xiaoling Wu +4
  • Supplementary Content

Adaptive Resource Relocation in Virtualized Heterogeneous Clusters

  • Jan 01, 2010
  • ANU Open Research (Australian National University)
  • Muhammad Atif
  • Research Article

Fairly Power Allocation Scheme in Downlink NOMA Systems

  • Jan 01, 2020
  • 电子科技大学学报
  • Xinji Tian +2

Clustering of the Potential of Customers' Internet Bandwidth Upgrade on FTTH Broadband

  • Apr 30, 2021
  • Sasa Ani Arnomo
  • PDF
  • Supplementary Content
  • Citations32

Capturing Consumer Preferences for Value Chain Improvements in the Mango Industry of Pakistan

  • Sep 01, 2015
  • AgEcon Search (University of Minnesota, USA)
  • Hammad Badar +2
  • Research Article
  • Citations2

Tendencias y características de los viajeros que visitan la ciudad de Pereira por medio de técnicas de minería de datos

  • Dec 30, 2017
  • Scientia et technica (Universidad Tecnológica de Pereira)
  • Diego Fernando Salcedo Toro
  • Conference Article
  • Citations7

Benefits and Barriers of University Industry Collaborations from a Researcher's Perspective: Development of Formative Scales and Cluster Analysis

  • Jun 17, 2015
  • CBS Research Portal (Copenhagen Business School)
  • Thomas Kilian +2
  • Research Article

Early Folding Biases in the Folding Free-Energy Surface of βα-Repeat Proteins: A Dissertation

  • Feb 02, 2015
  • R Paul Nobrega
  • Research Article

PLASE: a Novel Planar Surface Extraction Method for the Autonomous Navigation of Micro-Air Vehicle

  • Jan 01, 2012
  • Research Repository (Delft University of Technology)
  • Juveria Siddiqui +3
Cactus Communications logo

Copyright 2026 Cactus Communications. All rights reserved.