Journal article
Useful Bases for Problems in Nuclear and Particle Physics
Journal of Computational Physics, Vol.134(2), pp.231-235
07/01/1997
DOI: 10.1006/jcph.1997.5688
Abstract
J.Comput.Phys. 134 (1997) 231-235 A set of exactly computable orthonormal basis functions that are useful in
computations involving constituent quarks is presented. These basis functions
are distinguished by the property that they fall off algebraically in momentum
space and can be exactly Fourier-Bessel transformed. The configuration space
functions are associated Laguerre polynomials multiplied by an exponential
weight, and their Fourier-Bessel transforms can be expressed in terms of Jacobi
polynomials in $\Lambda^2/(k^2 + \Lambda^2)$. A simple model of a meson
containing a confined quark-antiquark pair shows that this basis is much better
at describing the high-momentum properties of the wave function than the
harmonic-oscillator basis.
Details
- Title: Subtitle
- Useful Bases for Problems in Nuclear and Particle Physics
- Creators
- B. D Keister - Carnegie Mellon UniversityW. N Polyzou - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Journal of Computational Physics, Vol.134(2), pp.231-235
- DOI
- 10.1006/jcph.1997.5688
- ISSN
- 0021-9991
- eISSN
- 1090-2716
- Language
- English
- Date published
- 07/01/1997
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984428771402771
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