Momentum space wave functions for the linear potential (doi:10.5072/FK2/A7BNVN)

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Document Description

Citation

Title:

Momentum space wave functions for the linear potential

Identification Number:

doi:10.5072/FK2/A7BNVN

Distributor:

Repositório ACNCA

Date of Distribution:

2025-12-30

Version:

1

Bibliographic Citation:

Stadler, Alfred, 2025, "Momentum space wave functions for the linear potential", https://doi.org/10.5072/FK2/A7BNVN, Repositório ACNCA, V1

Study Description

Citation

Title:

Momentum space wave functions for the linear potential

Identification Number:

doi:10.5072/FK2/A7BNVN

Identification Number:

10.5281/zenodo.14217822

Authoring Entity:

Stadler, Alfred (LIP ; University of Évora)

Producer:

Laboratório de Instrumentação e Física Experimental de Partículas

Grant Number:

CERN/FIS-PAR/0023/2021 - The structure of multiquarks CERN/FIS-PAR/0023/2021

Distributor:

Repositório ACNCA

Access Authority:

Stadler, Alfred

Depositor:

LIP

Date of Deposit:

2025-12-30

Holdings Information:

https://doi.org/10.5072/FK2/A7BNVN

Study Scope

Keywords:

Physics, Schrödinger equation, Momentum space, Linear potential, Integral equations, Nyström method

Abstract:

Normalized momentum space wave functions for the linear potential. The Schrödinger equation was solved with the methods described in "A simple high-accuracy method for solving bound-state equations with the Cornell potential in momentum space", Alfred Stadler, Elmar P. Biernat, Vasco Valverde. arXiv:2407.21789 [hep-ph] (to be pulished in Physical Review D). The wave functions correspond to the energie eigenvalues shown in Table VI of this work. The name of each file indicates the orbital angular momentum and which eigenstates it contains. For instance, wf_n1-5_l=0_np=1000_NL=5.txt contains the wave functions of the states n=1, 2, 3, 4, 5 for l=0, and wf_n6-10_l=3_np=1000.txt the wave functions of the states n=6, 7, 8, 9, 10 for l=3. Furthermore, np=1000 means that 1000 momentum integration points were used for the solution of the Schrödinger equation, and NL=5 or NL=15 means that 5 or 15 points were used for the Lagrange interpolations. Each data file in text format contains 6 columns and 1000 lines. Column 1 ist the momentum (GeV), columns 2-6 the wave functions. The momenta were generated according to Eq. (4.3) of the article, with p_0=1.

Notes:

Stadler, A. (2024). Momentum space wave functions for the linear potential (1.0.0) [Data set]. Zenodo. https://doi.org/10.5281/zenodo.14217823

Methodology and Processing

Sources Statement

Data Access

Notes:

<a href="http://creativecommons.org/licenses/by/4.0">CC BY 4.0</a>

Other Study Description Materials

Related Publications

Citation

Title:

Preprint: arXiv:2407.21789 (arXiv)

Identification Number:

2407.21789

Bibliographic Citation:

Preprint: arXiv:2407.21789 (arXiv)

Other Study-Related Materials

Label:

wf.zip

Notes:

application/zip