Helium-4 gravitational form factors: Exchange currents - INSPIRE

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Helium-4 gravitational form factors: Exchange currents

Fangcheng He
(
- SUNY, Stony Brook
)
,
Ismail Zahed
(
- SUNY, Stony Brook
)

Jun 11, 2024

17 pages

Published in:

Phys.Rev.C 110 (2024) 5, 054302

Published: Nov 1, 2024

e-Print:

2406.07412 [nucl-th]

DOI:

10.1103/PhysRevC.110.054302 (publication)

View in:

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Abstract: (APS)

We evaluate the leading exchange corrections to the helium-4 gravitational form factors (GFFs) to momenta of the order of the nucleon mass. We use both the K-harmonic method with simple pair nucleon potential, and a Jastrow trial function using the Argonne

v_{14}

potential, to evaluate the helium-4 GFFs. The exchange current contributions include the pair interaction, plus the seagull and the pion exchange interactions, modulo the recoil corrections. To estimate the off-shellness of the pion nucleon coupling in this momenta range, we discuss the results using either the pseudoscalar (PS) or pseudovector (PV) pion-nucleon couplings. When the PV coupling is used, the pair diagram contribution is higher order in the nonrelativistic expansion. The results for the helium-4 A-GFF are comparable to those given by the impulse approximation, especially for the PS coupling using both the K-harmonic method and variational method. The exchange current contributions with the PS coupling for the charge form factor of helium-4, yield better agreement with the existing data over a broad range of momenta, especially when the Argonne

v_{14}

potential including the D-wave admixture is used.

Note:

17 pages, 6 figures

References(49)

Figures(15)

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