Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia

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Autori principali: Arifi, Ahmad Jafar, Suzuki, Kei
Natura: Preprint
Pubblicazione: 2025
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author Arifi, Ahmad Jafar
Suzuki, Kei
author_facet Arifi, Ahmad Jafar
Suzuki, Kei
contents The mass spectrum of hadrons in magnetic fields features avoided level-crossing structures arising from the mixing of spin eigenstates. In this work, we investigate the impact of level-crossing dynamics of charmonia subjected to time-dependent magnetic fields, where we particularly focus on the occupation probabilities of two or more states as they undergo transitions at avoided crossings. Using a static spectrum of charmonia in magnetic fields, we construct a multi-channel Landau-Zener Hamiltonian. Within this framework, we analyze the time evolution under several representative magnetic-field profiles, including linear ramps and Gaussian decays corresponding to single-passage dynamics, as well as Gaussian pulses realizing double-passage dynamics, and compute the occupation probabilities over a wide range of sweep rates and initial conditions. Our results show that nonadiabatic dynamics, including Landau-Zener transitions and Stückelberg interference, strongly influences the occupation probabilities of charmonia. These findings provide new insights into the real-time dynamics of magnetized hadrons and offer useful guidance for future lattice simulation studies.
format Preprint
id arxiv_https___arxiv_org_abs_2512_24072
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
Arifi, Ahmad Jafar
Suzuki, Kei
High Energy Physics - Phenomenology
Nuclear Theory
The mass spectrum of hadrons in magnetic fields features avoided level-crossing structures arising from the mixing of spin eigenstates. In this work, we investigate the impact of level-crossing dynamics of charmonia subjected to time-dependent magnetic fields, where we particularly focus on the occupation probabilities of two or more states as they undergo transitions at avoided crossings. Using a static spectrum of charmonia in magnetic fields, we construct a multi-channel Landau-Zener Hamiltonian. Within this framework, we analyze the time evolution under several representative magnetic-field profiles, including linear ramps and Gaussian decays corresponding to single-passage dynamics, as well as Gaussian pulses realizing double-passage dynamics, and compute the occupation probabilities over a wide range of sweep rates and initial conditions. Our results show that nonadiabatic dynamics, including Landau-Zener transitions and Stückelberg interference, strongly influences the occupation probabilities of charmonia. These findings provide new insights into the real-time dynamics of magnetized hadrons and offer useful guidance for future lattice simulation studies.
title Landau-Zener-Stückelberg-Majorana dynamics of magnetized quarkonia
topic High Energy Physics - Phenomenology
Nuclear Theory
url https://arxiv.org/abs/2512.24072