Transversity generalized parton distributions in spin-3/2 particles
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866914128348577792 |
|---|---|
| author | Fu, Dongyan Dong, Yubing Kumano, S. |
| author_facet | Fu, Dongyan Dong, Yubing Kumano, S. |
| contents | The definitions of the quark and gluon transversity generalized parton distributions (GPDs) in spin-3/2 particles are obtained in the light-cone gauge. It is found that they contain 16 independent components for each parton. Their even or odd property is found in terms of skewness variable, and the odd transversity GPDs vanish in the forward limit. There are 16 amplitudes with helicity flip of quark or gluon. We conclude that all the amplitudes, unpolarized, polarized, and transversity amplitudes, have a common factor $F(ζ)$ carrying all the complex part. Here, the variable $ζ$ is the helicity difference $ζ=(λ' -λ)-(μ' - μ)$ for the amplitude $\mathcal{A}_{λ' μ',λμ}$. This kinematical factor is associated with the transfer of the orbital angular momentum in the quark- and gluon-spin-3/2 particle scattering amplitudes. We also derive another main physical quantity, transversity distribution, from the transversity GPDs in the forward limit for the spin-3/2 particles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11561 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transversity generalized parton distributions in spin-3/2 particles Fu, Dongyan Dong, Yubing Kumano, S. High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory The definitions of the quark and gluon transversity generalized parton distributions (GPDs) in spin-3/2 particles are obtained in the light-cone gauge. It is found that they contain 16 independent components for each parton. Their even or odd property is found in terms of skewness variable, and the odd transversity GPDs vanish in the forward limit. There are 16 amplitudes with helicity flip of quark or gluon. We conclude that all the amplitudes, unpolarized, polarized, and transversity amplitudes, have a common factor $F(ζ)$ carrying all the complex part. Here, the variable $ζ$ is the helicity difference $ζ=(λ' -λ)-(μ' - μ)$ for the amplitude $\mathcal{A}_{λ' μ',λμ}$. This kinematical factor is associated with the transfer of the orbital angular momentum in the quark- and gluon-spin-3/2 particle scattering amplitudes. We also derive another main physical quantity, transversity distribution, from the transversity GPDs in the forward limit for the spin-3/2 particles. |
| title | Transversity generalized parton distributions in spin-3/2 particles |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment High Energy Physics - Lattice Nuclear Theory |
| url | https://arxiv.org/abs/2402.11561 |