Origin of the nucleon gravitational form factor $B_N(t)$: Exposition in light-front holographic QCD
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| Format: | Preprint |
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2026
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| _version_ | 1866915950066925568 |
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| author | Cao, Xianghui Gurjar, Bheemsehan Mondal, Chandan Chen, Chen Li, Yang |
| author_facet | Cao, Xianghui Gurjar, Bheemsehan Mondal, Chandan Chen, Chen Li, Yang |
| contents | Recent lattice QCD simulations and phenomenological models indicate that the nucleon's gravitational form factor $B_N(t)$ remains remarkably small at finite momentum transfer $t$. While $B_N(0) = 0$ is a known consequence of the equivalence principle, the physical origin of its suppression at finite $t$ has not been fully elucidated. In this work, we demonstrate that the smallness of $B_N(t)$ arises from a fundamental cancellation within the nucleon's wave functions. Using light-front holographic QCD, we show that $B_N(t)$ is governed by an antisymmetric factor in the longitudinal dynamics that leads to the exact vanishing of the form factor in the symmetric limit and significant suppression for realistic nucleon structures. Our results suggest that the smallness of $B_N(t)$ is a signature of the nucleon's dominant S-wave character, providing a formal justification for its frequent omission in practical applications like near-threshold $J/ψ$ production. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_19141 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Origin of the nucleon gravitational form factor $B_N(t)$: Exposition in light-front holographic QCD Cao, Xianghui Gurjar, Bheemsehan Mondal, Chandan Chen, Chen Li, Yang High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory Recent lattice QCD simulations and phenomenological models indicate that the nucleon's gravitational form factor $B_N(t)$ remains remarkably small at finite momentum transfer $t$. While $B_N(0) = 0$ is a known consequence of the equivalence principle, the physical origin of its suppression at finite $t$ has not been fully elucidated. In this work, we demonstrate that the smallness of $B_N(t)$ arises from a fundamental cancellation within the nucleon's wave functions. Using light-front holographic QCD, we show that $B_N(t)$ is governed by an antisymmetric factor in the longitudinal dynamics that leads to the exact vanishing of the form factor in the symmetric limit and significant suppression for realistic nucleon structures. Our results suggest that the smallness of $B_N(t)$ is a signature of the nucleon's dominant S-wave character, providing a formal justification for its frequent omission in practical applications like near-threshold $J/ψ$ production. |
| title | Origin of the nucleon gravitational form factor $B_N(t)$: Exposition in light-front holographic QCD |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory Nuclear Theory |
| url | https://arxiv.org/abs/2601.19141 |