dorsal/arxiv
View SchemaUseful Bases for Problems in Nuclear and Particle Physics
| Authors | B. D. Keister, W. N. Polyzou |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9611049 |
| URL | https://arxiv.org/abs/nucl-th/9611049 |
| DOI | 10.1006/jcph.1997.5688 |
| Journal | J.Comput.Phys. 134 (1997) 231-235 |
Abstract
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.
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"abstract": "A set of exactly computable orthonormal basis functions that are useful in\ncomputations involving constituent quarks is presented. These basis functions\nare distinguished by the property that they fall off algebraically in momentum\nspace and can be exactly Fourier-Bessel transformed. The configuration space\nfunctions are associated Laguerre polynomials multiplied by an exponential\nweight, and their Fourier-Bessel transforms can be expressed in terms of Jacobi\npolynomials in $\\Lambda^2/(k^2 + \\Lambda^2)$. A simple model of a meson\ncontaining a confined quark-antiquark pair shows that this basis is much better\nat describing the high-momentum properties of the wave function than the\nharmonic-oscillator basis.",
"arxiv_id": "nucl-th/9611049",
"authors": [
"B. D. Keister",
"W. N. Polyzou"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1006/jcph.1997.5688",
"journal_ref": "J.Comput.Phys. 134 (1997) 231-235",
"title": "Useful Bases for Problems in Nuclear and Particle Physics",
"url": "https://arxiv.org/abs/nucl-th/9611049"
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