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The polarization of the $\Lambda$ particle offers the unique opportunity to study the hydrodynamic gradients in the Quark-Gluon Plasma formed in heavy-ion collisions. However, the theoretical formula commonly used to calculate polarization…

Nuclear Theory · Physics 2023-12-12 Andrea Palermo

We derive an expression for the local transverse polarization of a boost-invariant expanding system of massive particles, which involves a set of dynamical spin moments. Starting from spin kinetic theory, we obtain a closed set of equations…

High Energy Physics - Phenomenology · Physics 2023-12-12 Nora Weickgenannt , Jean-Paul Blaizot

The concept of the Wigner function is used to construct a semi-classical kinetic theory describing the evolution of the axial-current phase-space density of spin-1/2 particles in the relaxation time approximation. The resulting approach can…

High Energy Physics - Phenomenology · Physics 2021-02-01 Samapan Bhadury , Wojciech Florkowski , Amaresh Jaiswal , Avdhesh Kumar , Radoslaw Ryblewski

Starting with the polarization dependent Wigner function of vector mesons, we derive an expression for the 00-component ($\rho_{00}$) of spin density matrix in terms of the second order gradients of the vector meson distribution functions.…

Nuclear Theory · Physics 2024-03-29 Avdhesh Kumar , Philipp Gubler , Di-Lun Yang

Motivated by the key role of shear induced polarization in understanding the local spin polarization puzzle of $\Lambda$ hyperons in heavy ion collisions, we perform a complete analysis of spin polarization of massive fermion in a quantum…

High Energy Physics - Phenomenology · Physics 2024-12-02 Ziyue Wang , Shu Lin

The tensor polarization of particles and nuclei is constant in a coordinate system rotating with the same angular velocity as the spin. In the laboratory frame, it rotates with this angular velocity. The general equation defining the…

High Energy Physics - Phenomenology · Physics 2019-05-01 Alexander J. Silenko

We develop a quantum spin-density-matrix framework for heavy-quark spin dynamics in relativistic heavy-ion collisions. Starting from an initial polarization induced along the magnetic-field direction, we derive the evolution equation for…

High Energy Physics - Phenomenology · Physics 2026-05-08 Sunil Jaiswal , Sourav Dey , Amaresh Jaiswal

We derive relativistic dissipative spin hydrodynamics from kinetic theory featuring a nonlocal collision term using the method of moments. In this framework, the components of the spin tensor are dynamical variables which obey…

Nuclear Theory · Physics 2022-11-23 Nora Weickgenannt , David Wagner , Enrico Speranza , Dirk H. Rischke

Recently advocated expressions for the phase-space dependent spin-1/2 density matrices of particles and antiparticles are analyzed in detail and reduced to the forms linear in the Dirac spin operator. This allows for a natural determination…

The spontaneous spin polarization of strongly interacting matter due to axial-vector and tensor type interactions is studied at zero temperature and high baryon-number densities. We start with the mean-field Lagrangian for the axial-vector…

High Energy Physics - Phenomenology · Physics 2018-06-20 Tomoyuki Maruyama , Eiji Nakano , Kota Yanase , Naotaka Yoshinaga

We review the theoretical framework for the calculation of particle polarization in relativistic heavy ion collisions within the hydrodynamical model. The covariant decomposition of the mean spin vector is presented and open theoretical…

Nuclear Theory · Physics 2018-03-14 F. Becattini

We revisit the spin effects induced by thermal vorticity by calculating them directly from the spin-dependent distribution functions. For the spin-1/2 particles, we give the polarization up to the first order of thermal vorticity and…

High Energy Physics - Phenomenology · Physics 2023-11-17 Jian-Hua Gao , Shi-Zheng Yang

We calculate the Wigner function for massive spin-1/2 particles in an inhomogeneous electromagnetic field to leading order in the Planck constant $\hbar$. Going beyond leading order in $\hbar$ we then derive a generalized Boltzmann equation…

High Energy Physics - Phenomenology · Physics 2021-02-03 Nora Weickgenannt , Xin-li Sheng , Enrico Speranza , Qun Wang , Dirk H. Rischke

The concept of a common local spin equilibrium for both spin-1/2 and spin-1 particles is incorporated into a thermal model of particle production in heavy-ion collisions at the top RHIC energies. We show that an effective spin polarization…

High Energy Physics - Phenomenology · Physics 2026-02-20 Soham Banerjee , Samapan Bhadury , Wojciech Florkowski , Amaresh Jaiswal , Radoslaw Ryblewski

The role of dynamical chiral condensate in spin polarization is investigated in a kinetic theory framework. Transport equations for quark matter are derived in the mean-field approximation for the Nambu--Jona-Lasinio model. The dynamical…

High Energy Physics - Phenomenology · Physics 2021-01-11 Ziyue Wang , Pengfei Zhuang

We propose an improved quark coalescence model for spin alignment of vector mesons and polarization of baryons by spin density matrix with phase space dependence. The spin density matrix is defined through Wigner functions. Within the model…

Nuclear Theory · Physics 2020-09-16 Xin-Li Sheng , Qun Wang , Xin-Nian Wang

In this paper, we study the properties of gravitational waves in the scalar-tensor-vector gravity theory. The polarizations of the gravitational waves are investigated by analyzing the relative motion of the test particles. It is found that…

General Relativity and Quantum Cosmology · Physics 2019-12-19 Yunqi Liu , Wei-Liang Qian , Yungui Gong , Bin Wang

We review recent theoretical and experimental developments in spin dynamics and polarization phenomena in relativistic systems, with a particular focus on heavy-ion collisions. The large angular momentum and magnetic field generated in…

Nuclear Theory · Physics 2026-05-14 Sourav Dey , Arpan Das , Hiranmaya Mishra , Amaresh Jaiswal

We briefly review the foundations of a new relativistic fluid dynamics framework for polarized systems of particles with spin one half. Using this approach we numerically study the dynamics of the spin polarization of a rotating medium…

We calculate the Wigner function for charged spin-1 particles in inhomogeneous classical electromagnetic fields, going to first order in a power series in $\hbar$. The Boltzmann equation for the scalar distribution function obtained from…

Nuclear Theory · Physics 2022-07-29 David Wagner , Nora Weickgenannt , Enrico Speranza