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We investigate the relation between the known decompositions of the nucleon spin into its constituents, thereby clarifying in what respect they are common and in what respect they are different essentially. The decomposition recently…

高能物理 - 唯象学 · 物理学 2014-11-20 M. Wakamatsu

Based on gauge-invariant decomposition of covariant angular momentum tensor of QCD in an arbitrary Lorentz frame, we investigate the relation between the known decompositions of the nucleon spin into its constituents, thereby clarifying in…

高能物理 - 唯象学 · 物理学 2015-03-17 Masashi Wakamatsu

The question whether the total gluon angular momentum in the nucleon can be decomposed into its spin and orbital parts without conflict with the gauge-invariance principle has been an object of long-lasting debate. Despite a remarkable…

高能物理 - 唯象学 · 物理学 2015-05-20 Masashi Wakamatsu

In a recent paper, we have shown that the way of gauge-invariant decomposition of the nucleon spin is not necessarily unique, but there still exists a preferable decomposition from the observational viewpoint. What was not complete in this…

高能物理 - 唯象学 · 物理学 2011-02-16 M. Wakamatsu

In a series of papers, we have established the existence of two gauge-invariant decompositions of the nucleon spin, which are physically nonequivalent. The orbital angular momenta of quarks and gluons appearing in these two decompositions…

高能物理 - 唯象学 · 物理学 2015-06-04 Masashi Wakamatsu

A non-uniqueness problem of gauge invariant separation of quark and gluon contributions to nucleon spin is considered. We show that there is a wide number of gauge invariant spin decompositions each of them reduces to the canonical one in a…

高能物理 - 唯象学 · 物理学 2012-06-22 P. M. Zhang , D. G. Pak

We discuss the uniqueness or non-uniqueness problem of the decomposition of the gluon field into the physical and pure-gauge components, which is the basis of the recently proposed two physically inequivalent gauge-invariant decompositions…

高能物理 - 唯象学 · 物理学 2015-06-15 Masashi Wakamatsu

We consider a non-uniqueness problem of gauge invariant nucleon spin decomposition. A gauge invariant decomposition with a generalized Coulomb constraint for the physical gluon has been constructed. The decomposition scheme is consistent…

高能物理 - 唯象学 · 物理学 2012-04-24 D. G. Pak , P. M. Zhang

A general consensus now is that there are two physically inequivalent complete decompositions of the nucleon spin, i.e. the decomposition of the canonical type and that of mechanical type. The well-known Jaffe-Manohar decomposition is of…

高能物理 - 唯象学 · 物理学 2016-09-21 Masashi Wakamatsu

There are different operators of quark and gluon momenta, orbital angular momenta, and gluon spin in the nucleon structure study. The precise meaning of these operators are studied based on gauge invariance, Lorentz covariance and canonical…

高能物理 - 唯象学 · 物理学 2015-09-30 Fan Wang , X. S. Chen , W. M. Sun , P. M. Zhang , C. W. Wong

The recent controversy on the nucleon spin decomposition problem is critically overviewed. We argue that there exist two and only two physically inequivalent gauge-invariant decompositions of the longitudinal nucleon spin, contrary to the…

高能物理 - 唯象学 · 物理学 2022-03-02 Masashi Wakamatsu

We argue against the rapidly spreading idea of gauge-invariant-extension (GIE) approach in the nucleon spin decomposition problem, which implies the existence of infinitely many gauge-invariant decomposition of the nucleon spin.

高能物理 - 唯象学 · 物理学 2015-06-16 Masashi Wakamatsu

We discuss the shortfalls of existing resolutions of the long-standing gauge invariance problem of the canonical decomposition of the nucleon spin to the spin and angular momentum of quarks and gluons. We provide two logically flawless…

核理论 · 物理学 2015-05-20 Y. M. Cho , Mo-Lin Ge , Pengming Zhang

It is unavoidable to deal with the quark and gluon momentum and angular momentum contributions to the nucleon momentum and spin in the study of nucleon internal structure. However, we never have the quark and gluon momentum, orbital angular…

高能物理 - 唯象学 · 物理学 2009-09-07 Fan Wang , X. S. Chen , X. F. Lu , W. M. Sun , T. Goldman

How do the quark and gluon share the nucleon momentum? How does the nucleon spin distribute among its constituents? What means the quark and gluon momentum, spin and orbital angular momentum? These problems are analyzed and a solution is…

高能物理 - 唯象学 · 物理学 2015-06-18 Fan Wang , W. M. Sun , X. S. Chen , P. M. Zhang

In recent papers, we have established the existence of gauge-invariant decomposition of nucleon spin, each term of which can be related to known high-energy deep-inelastic-scattering observables. A subtlety remains, however, for the…

高能物理 - 唯象学 · 物理学 2011-08-12 Masashi Wakamatsu

We demonstrate that there exist two kinds of gauge-invariant decompositions of the nucleon spin, which are physically inequivalent. The quark and gluon orbital angular momenta (OAMs) appearing in one decomposition are basically the…

高能物理 - 唯象学 · 物理学 2015-05-30 Masashi Wakamatsu

The general question, crucial to an understanding of the internal structure of the nucleon, of how to split the total angular momentum of a photon or gluon into spin and orbital contributions is one of the most important and interesting…

高能物理 - 唯象学 · 物理学 2015-07-01 E. Leader , C. Lorce

By separating the gluon field into physical and pure-gauge components, the usual Poincar\'e subalgebra for an interacting system can be reconciled with gauge-invariance when decomposing the total rotation and translation generators of QCD…

高能物理 - 唯象学 · 物理学 2012-03-07 Xiang-Song Chen

One intriguing issue in the nucleon spin decomposition problem is the existence of two types of decompositions, which are representably characterized by two different orbital angular momenta (OAMs) of quarks. The one is the manifestly…

高能物理 - 唯象学 · 物理学 2018-05-09 M. Wakamatsu , Y. Kitadono , P. -M. Zhang
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