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Global spin alignment of vector mesons is a sensitive probe of system vorticity and particle production mechanism in relativistic heavy ion collisions. The measurement of global spin alignment is gaining increasing interest and deserves…

Nuclear Experiment · Physics 2018-10-25 A. H. Tang , B. Tu , C. S. Zhou

We argue that spin alignment of the vector mesons observed in unpolarized hadron-hadron collisions is closely related to the single spin left-right asymmetry observed in transversely polarized hadron-hadron collisions. We present the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Qing-hua Xu , Zuo-tang Liang

Using the phase-space formulation of quantum mechanics, we derive a four-component Wigner equation for a system composed of spin-1/2 fermions (typically, electrons) including the Zeeman effect and the spin-orbit coupling. This Wigner…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Jerome Hurst , Paul-Antoine Hervieux , Giovanni Manfredi

Recent experimental results on global polarization of hyperons and spin alignment of vector mesons in heavy-ion collisions are reviewed, especially in context of the energy dependence and particle species dependence. New results on local…

Nuclear Experiment · Physics 2022-04-08 Takafumi Niida

The axial vector and tensor charge, defined as the first moments of the forward nucleon matrix elements of corresponding quark currents, are essential for characterizing the spin structure of the nucleon. However, the transversity…

High Energy Physics - Phenomenology · Physics 2009-11-07 Leonard Gamberg , Gary R. Goldstein

On the basis of the Wigner unitary representations of the covering group ISL(2,C) of the Poincar\'{e} group, we obtain spin-tensor wave functions of free massive particles with arbitrary spin. The wave functions automatically satisfy the…

High Energy Physics - Theory · Physics 2018-02-28 A. P. Isaev , M. A. Podoinitsyn

We investigate the spacetime evolution of spin polarization within a hydrodynamic framework based on the de Groot--van Leeuwen--van Weert expressions for energy-momentum and spin tensors. The system's deviation from boost invariance results…

High Energy Physics - Phenomenology · Physics 2025-02-18 Wojciech Florkowski , Radoslaw Ryblewski , Rajeev Singh

We develop a bottom-up formulation of spin-kinetic theory for hot and/or dense plasmas. We introduce scalar and axial-vector phase-space functions as dynamical variables that parametrize both spin-averaged and spin-dependent distribution…

Nuclear Theory · Physics 2026-01-21 Zonglin Mo , Yi Yin

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

Spin-charge separation, a crucial ingredient in 2D models of strongly correlated systems, in mostly considered in condensed matter applications. In this paper we present a relativistic field-theoretic model in which charged particles of…

High Energy Physics - Theory · Physics 2015-06-19 M. C. Diamantini , C. A. Trugenberger

In a recently proposed model in which a vector non-Abelian gauge field interacts with an antisymmetric tensor field, it has been shown that the tensor field possesses no physical degrees of freedom. This formal demonstration is tested by…

High Energy Physics - Theory · Physics 2009-11-11 F. Chishtie , M. Gagné-Portelance , T. Hanif , S. Homayouni , D. G. C. McKeon

Recent e+e- annihilation experiments show a striking spin alignment of vector mesons produced in the fragmentation of a polarized quark.We show that these data imply a simple relation between the polarization of the anti-quark, which is…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zuo-tang Liang

There are two types of polarizations in spin-1 hadrons, and they are vector and tensor polarizations. The latter is a unique one since it does not exist in the spin-1/2 proton. The vector-polarized PDFs are the same for both the proton and…

High Energy Physics - Phenomenology · Physics 2023-01-18 S. Kumano , Qin-Tao Song

This article first introduces the notion of weighted singular value decomposition (WSVD) of a tensor via the Einstein product. The WSVD is then used to compute the weighted Moore-Penrose inverse of an arbitrary-order tensor. We then define…

Numerical Analysis · Mathematics 2025-08-07 Aaisha Be , Vaibhav Shekhar , Debasisha Mishra

We present a systematic study of the proton spin structure in terms of measurable parton distributions. For a transversely-polarizedproton, we derive a polarization sum rule from the leading generalized parton distributions appearing in…

High Energy Physics - Phenomenology · Physics 2012-10-18 Xiangdong Ji , Xiaonu Xiong , Feng Yuan

We propose a (3+1)D linear set of covariant vector equations, which unify the spin 0 ``new Dirac equation'' with its spin 1/2 counterpart, proposed by Staunton. Our equations describe a spin (0,1/2) supermultiplet with different numbers of…

High Energy Physics - Theory · Physics 2008-11-26 Peter A. Horvathy , Mikhail S. Plyushchay , Mauricio Valenzuela

The global and local spin polarization measurements of $\Lambda$ ($\bar{\Lambda}$) hyperons by STAR and ALICE Collaborations open up an immense interest in investigating the spin polarization dynamics in heavy-ion collisions. Recent studies…

High Energy Physics - Phenomenology · Physics 2025-05-30 Bhagyarathi Sahoo , Captain R. Singh , Raghunath Sahoo

In this paper we study the polarization tensor of photons in a QED plasma in the presence of a magnetic field. We do it both at vanishing and at finite temperature. We use two different methods to compute the polarization tensor components…

High Energy Physics - Phenomenology · Physics 2009-10-28 Ulf H. Danielsson , Dario Grasso

We have investigated the collisional corrections to the spin polarization pseudo-vector, $\delta\mathcal{P}^{\mu}$, using quantum kinetic theory in Chapman-Enskog expansion. We derive the spin Boltzmann equation incorporating M{\o}ller…

High Energy Physics - Phenomenology · Physics 2025-03-11 Shuo Fang , Shi Pu

Space-time evolution of spin polarization within the framework of hydrodynamics with spin based on de Groot - van Leeuwen - van Weert forms of energy-momentum and spin tensors is studied. Due to the non-boost invariant flow in the system…

High Energy Physics - Phenomenology · Physics 2022-03-10 Wojciech Florkowski , Radoslaw Ryblewski , Rajeev Singh , Gabriel Sophys
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