Relativistic spin dynamics for vector mesons

Sheng, Xin-Li; Oliva, Lucia; Liang, Zuo-Tang; Wang, Qun; Wang, Xin-Nian

doi:10.1103/physrevd.109.036004

Title: Relativistic spin dynamics for vector mesons

Journal Article · 05 February 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/physrevd.109.036004 · OSTI ID:2284037

Sheng, Xin-Li ^[1];

^[2]; Liang, Zuo-Tang ^[3];

^[4]; Wang, Xin-Nian ^[5]

Istituto Nazionale di Fisica Nucleare (INFN), Firenze (Italy); Central China Normal University, Wuhan (China)
University of Catania (Italy); National Inst. of Nuclear Physics (INFN), Catania (Italy)
Shandong Univ., Qingdao, Shandong (China)
Univ. of Science and Technology of China, Hefei (China)
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

We propose a relativistic theory for spin density matrices of vector mesons based on Kadanoff-Baym equations in the closed-time-path formalism. The theory puts the calculation of spin observables such as the spin density matrix element ρ₀₀ for vector mesons on a solid ground. Within the theory we formulate ρ₀₀ for Φ mesons into a factorization form in separation of momentum and spacetime variables. We argue that the main contribution to ρ₀₀ at lower energies should be from the Φ fields that can polarize the strange quark and antiquark in the same way as electromagnetic fields. The key observation is that there is correlation inside the Φ meson wave function between the Φ field that polarizes the strange quark and that polarizes the strange antiquark. This is reflected by the fact that the contributions to ρ₀₀ are all in squares of fields that are nonvanishing even if the fields may strongly fluctuate in spacetime. The fluctuation of strong force fields can be extracted from ρ₀₀ of unflavored vector mesons as links to fundamental properties of quantum chromodynamics.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); USDOE Office of Science (SC), High Energy Physics (HEP); National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: AC02-05CH11231; 12135011; 11890713

OSTI ID:: 2284037

Alternate ID(s):: OSTI ID: 2433809

Journal Information:: Physical Review. D., Vol. 109, Issue 3; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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