Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics
Considering the formalism of symplectic quantum mechanics, we investigate a two-dimensional nonrelativistic strong interacting system, describing a bound heavy quark-antiquark state. The potential has a linear component that is analyzed in the context of generalized fractional derivatives. For this...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2023/8366154 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556819062456320 |
|---|---|
| author | R. R. Luz M. Abu-Shady G. X. A. Petronilo A. E. Santana R. G. G. Amorim |
| author_facet | R. R. Luz M. Abu-Shady G. X. A. Petronilo A. E. Santana R. G. G. Amorim |
| author_sort | R. R. Luz |
| collection | DOAJ |
| description | Considering the formalism of symplectic quantum mechanics, we investigate a two-dimensional nonrelativistic strong interacting system, describing a bound heavy quark-antiquark state. The potential has a linear component that is analyzed in the context of generalized fractional derivatives. For this purpose, the Schrödinger equation in phase space is solved with the linear potential. The ground state solution is obtained and analyzed through the Wigner function for the meson cc¯. One basic and fundamental result is that the fractional quantum phase-space analysis gives rise to the confinement of quarks in the meson, consistent with experimental results. |
| format | Article |
| id | doaj-art-688da17429b140e38d49d52f670cc27c |
| institution | Kabale University |
| issn | 1687-7365 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-688da17429b140e38d49d52f670cc27c2025-02-03T05:44:20ZengWileyAdvances in High Energy Physics1687-73652023-01-01202310.1155/2023/8366154Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum MechanicsR. R. Luz0M. Abu-Shady1G. X. A. Petronilo2A. E. Santana3R. G. G. Amorim4International Center of PhysicsDepartment of Mathematics and Computer ScienceInternational Center of PhysicsInternational Center of PhysicsGama FacultyConsidering the formalism of symplectic quantum mechanics, we investigate a two-dimensional nonrelativistic strong interacting system, describing a bound heavy quark-antiquark state. The potential has a linear component that is analyzed in the context of generalized fractional derivatives. For this purpose, the Schrödinger equation in phase space is solved with the linear potential. The ground state solution is obtained and analyzed through the Wigner function for the meson cc¯. One basic and fundamental result is that the fractional quantum phase-space analysis gives rise to the confinement of quarks in the meson, consistent with experimental results.http://dx.doi.org/10.1155/2023/8366154 |
| spellingShingle | R. R. Luz M. Abu-Shady G. X. A. Petronilo A. E. Santana R. G. G. Amorim Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics Advances in High Energy Physics |
| title | Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics |
| title_full | Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics |
| title_fullStr | Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics |
| title_full_unstemmed | Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics |
| title_short | Fractional Effective Quark-Antiquark Interaction in Symplectic Quantum Mechanics |
| title_sort | fractional effective quark antiquark interaction in symplectic quantum mechanics |
| url | http://dx.doi.org/10.1155/2023/8366154 |
| work_keys_str_mv | AT rrluz fractionaleffectivequarkantiquarkinteractioninsymplecticquantummechanics AT mabushady fractionaleffectivequarkantiquarkinteractioninsymplecticquantummechanics AT gxapetronilo fractionaleffectivequarkantiquarkinteractioninsymplecticquantummechanics AT aesantana fractionaleffectivequarkantiquarkinteractioninsymplecticquantummechanics AT rggamorim fractionaleffectivequarkantiquarkinteractioninsymplecticquantummechanics |