2019

Universality of the Poincar\'e gravitational form factor constraints

Lorcé, Cédric, Lowdon, Peter

Understand

Relativistic spin states are convention dependent.

In this work we prove that the zero momentum-transfer 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 Poincar\'e covariance of the states.

Built on

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Then

P. Lowdon, K. Y.-J. Chiu and S. J. Brodsky, Rigorous constraints on the matrix elements of the energy-momentum tensor , Phys. Lett. B 774
2017
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C. Lorcé, L. Mantovani and B. Pasquini, Spatial distribution of angular momentum inside the nucleon , Phys. Lett. B 776
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C. Lorcé, On the hadron mass decomposition , Eur. Phys. J. C 78
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M. V. Polyakov and P. Schweitzer, Forces inside hadrons: pressure, surface tension, mechanical radius, and all that , Int. J. Mod. Phys. A 33
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V. D. Burkert, L. Elouadrhiri and F. X. Girod, The pressure distribution inside the proton , Nature 557
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S. Kumano, Q.-T. Song and O. V. Teryaev, Hadron tomography by generalized distribution amplitudes in pion-pair production process γ ∗ γ → π 0 π 0 \gamma^{*}\gamma\rightarrow\pi^{0}\pi^{0} and gravitational form factors for pion , Phys. Rev. D 97
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C. Lorcé, The relativistic center of mass in field theory with spin , Eur. Phys. J. C 78
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K. Kumerički, Measurability of pressure inside the proton , Nature 570
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