skip to main content

SciTech ConnectSciTech Connect

Title: Independent bases on the spatial wavefunction of four-identical-particle systems

We construct the independent bases on the spatial wavefunction of four-identical-particle systems classified under the rotational group SO(3) and the permutation group S{sub 4} with the usage of transformation coefficients that relate wavefunctions described in one set of internal coordinates with those in another. The basis functions for N⩽ 2 are presented in the explicit expressions based on the harmonic oscillator model. Such independent bases are supposed to play a key role in the construction of the wavefunctions of the five-quark states and the variation calculation of four-body systems. Our prescription avoids the spurious states and can be programmed for arbitrary N.
Authors:
; ;  [1]
  1. School of Physical Science and Technology, Southwest University, Chongqing 400715 (China)
Publication Date:
OSTI Identifier:
22217735
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FOUR-BODY PROBLEM; HARMONIC OSCILLATOR MODELS; HARMONIC OSCILLATORS; QUARK MODEL; QUARKS; SO-3 GROUPS