Work

Modified Lüscher zeta-function and the modified effective range expansion in the presence of a long-range force

Year: 2025

Type: article

Abstract: A bstract An efficient numerical algoritm is proposed for the calculation of the modified Lüscher zeta-function in the presence of a long-range force. Using the formalism developed in ref. JHEP05(2024)168 for the analysis of synthetic data on the finite-volume energy levels in a toy model, it is demonstrated that, in contrast to the standard Lüscher approach, the truncation of the higher partial waves has very little effect on the final result. Furthermore, the regularization and renormalization of the modified Lüscher zeta-function is discussed in detail, as well as the problems arising within the cutoff regularization. It is shown that, using the renormalization scheme proposed in the present paper, one obtains modified effective range expansion parameters of natural size in all partial waves.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep10(2025)197

Authors: Rishabh Bubna, Hans-Werner Hammer, Bai-Long Hoid, Jin-Yi Pang, Akaki Rusetsky, Jia-Jun Wu

Institutions: University of Bonn, GSI Helmholtz Centre for Heavy Ion Research, Technische Universität Darmstadt, Johannes Gutenberg University Mainz, University of Shanghai for Science and Technology, Tbilisi State University, University of Chinese Academy of Sciences

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Deutsche Forschungsgemeinschaft, National Natural Science Foundation of China, Bundesministerium für Bildung und Forschung, Chinese Academy of Sciences, Ministerium für Kultur und Wissenschaft des Landes Nordrhein-Westfalen, National Key Research and Development Program of China

Awards: G1094733649, G138487567, G2505060883, G256797447, G328816031, FOR 5327: PhotonPhotonWechselwirkungen innerhalb und jenseits des Standardmodells vollständige Nutzung des Entdeckungspotentials von MESA bis hin zum LHC, TRR 110: Symmetrien und Strukturbildung in der Quantenchromodynamik, G5537187932, G6851651439, G6925452005, Verbundprojekt 05P2024 (ErUM-FSP T07) - Aufbau von NUSTAR bei FAIR: NUSTAR-THEORIE für FAIR Phase-0 Experimente, SFB 1245: Atomkerne: Von fundamentalen Wechselwirkungen zu Struktur und Sternen, G8216640622, G8776819963, G89332433, G904559116

OpenAlex ID: W4415482144

FWCI: 0.491

Cites: 32

Cited by: 1

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