Gravitational form factors of a spin one particle

Polyakov, Maxim V.; Sun, Bao-Dong

doi:10.1103/physrevd.100.036003

Cited by 52 publications

(56 citation statements)

References 29 publications

(64 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Notice that a spin-1 hadron like the ρ-meson has 6 form factors of the total EMT [24,75,76]. Our D ρ-meson corresponds to the form factors D 0 (t) = − G 3 (t) in the notations of respectively [75] or [76]. Studies of other ρ-meson EMT form factors will be left to future investigations.…”

Section: B ρ Mesonmentioning

confidence: 99%

Energy momentum tensor and the D term in the bag model

et al. 2020

View full text Add to dashboard Cite

The energy-momentum tensor (EMT) form factors pave new ways for exploring hadron structure. Especially the D-term related to the EMT form factor D(t) has received a lot of attention due to its attractive physical interpretation in terms of mechanical properties. We study the nucleon EMT form factors and the associated densities in the bag model which we formulate for an arbitrary number of colors Nc and show that the EMT form factors are consistently described in this model in the large-Nc limit. The simplicity of the model allows us to test in a lucid way many theoretical concepts related to EMT form factors and densities including recently introduced concepts like normal and tangential forces, or monopole and quadrupole contributions to the angular momentum distribution. We also study the D-terms of ρ-meson, Roper resonance, other N * states and ∆-resonances. Among the most interesting outcomes is the lucid demonstration of the deeper connection of EMT conservation, stability, the virial theorem and the negative sign of the D-term.

show abstract

Section: B ρ Mesonmentioning

confidence: 99%

Energy momentum tensor and the D term in the bag model

et al. 2020

View full text Add to dashboard Cite

show abstract

“…These terms are crucial in the study of the mechanical properties of hadrons, and receive different contributions from quarks and gluons. In particular, a general expression for Ji's relation which is valid for quarks and gluons separately would require the inclusion of such additional terms, as observed in [10,11]. One approach to derive these terms is to write a parametrisation of the EMT for arbitrary spin states as an expansion in terms of spin multipoles 9 .…”

Section: Applicationsmentioning

confidence: 99%

Poincaré constraints on the gravitational form factors for massive states with arbitrary spin

2019

View full text Add to dashboard Cite

In this work we analyse the constraints imposed by Poincaré symmetry on the gravitational form factors appearing in the Lorentz decomposition of the energy-momentum tensor matrix elements for massive states with arbitrary spin. By adopting a distributional approach, we prove for the first time non-perturbatively that the zero momentum transfer limit of the leading two form factors in the decomposition are completely independent of the spin of the states. It turns out that these constraints arise due to the general Poincaré transformation and on-shell properties of the states, as opposed to the specific characteristics of the individual Poincaré generators themselves. By expressing these leading form factors in terms of generalised parton distributions, we subsequently derive the linear and angular momentum sum rules for states with arbitrary spin.1 Here we have chosen to define a single form factor G(q 2 ) for the component involving the Lorentz generator, so G(q 2 ) = A(q 2 ) + B(q 2 ) in comparison with [13] for the spin-1 2 case.

show abstract

“…Comparing this representation with Eq. (20) it immediately follows that the form factors must satisfy the following constraints…”

Section: Angular Momentum Matrix Elementmentioning

confidence: 99%

“…The form factors that appear in the Lorentz covariant decomposition of the energy-momentum tensor (EMT), the so-called gravitational form factors (GFFs), enter into the physics of many different phenomena, including gravitational scattering [1,2] and the internal properties of hadrons, such as mass, spin and pressure [3][4][5][6][7][8][9][10][11][12][13][14][15]. In recent years there has been a significant drive to characterise the properties of these objects for target states of different spin [6,7,10,12,13,[16][17][18][19][20], due to their connection to generalised parton distributions (GPDs) [21]. By constraining GPDs via the GFFs, this could help, for example, in providing new insights into the dynamics of quarks and gluons within composite states.…”

Section: Introductionmentioning

confidence: 99%

Universality of the Poincaré gravitational form factor constraints

Lorcé

Lowdon

2020

Eur. Phys. J. C

View full text Add to dashboard Cite

Relativistic spin states are convention dependent. In this work we prove that the zero momentumtransfer limits of the leading two form factors in the decomposition of the energy-momentum tensor matrix elements are independent of this choice. In particular, we demonstrate that these constraints are insensitive to whether the corresponding states are massive or not, and that they arise purely due to the Poincaré covariance of the states.

show abstract

Gravitational form factors of a spin one particle

Cited by 52 publications

References 29 publications

Energy momentum tensor and the D term in the bag model

Energy momentum tensor and the D term in the bag model

Poincaré constraints on the gravitational form factors for massive states with arbitrary spin

Universality of the Poincaré gravitational form factor constraints

Contact Info

Product

Resources

About