On the Shape of Nucleons at High Energies
A scenario of the evolution of the shape of nucleons with increasing energy is described in the framework of an extended parton model, which consistently takes into account the transverse motion of the partons. At the energy <i>E</i> up to LHC, the nucleons have the form of a spheroid wh...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Particles |
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| Online Access: | https://www.mdpi.com/2571-712X/4/3/32 |
| _version_ | 1797517770046308352 |
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| author | Maksim L. Nekrasov |
| author_facet | Maksim L. Nekrasov |
| author_sort | Maksim L. Nekrasov |
| collection | DOAJ |
| description | A scenario of the evolution of the shape of nucleons with increasing energy is described in the framework of an extended parton model, which consistently takes into account the transverse motion of the partons. At the energy <i>E</i> up to LHC, the nucleons have the form of a spheroid which expands as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msqrt><mrow><mo form="prefix">ln</mo><mspace width="-0.166667em"></mspace><mi>E</mi></mrow></msqrt></semantics></math></inline-formula> in the transverse directions and grows linearly in <i>E</i> in the longitudinal direction. With a further increase in the energy, a mode of correlated behavior of the partons is established, which stops the longitudinal growth. Simultaneously, the expansion in the transverse directions changes to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">ln</mo><mspace width="-0.166667em"></mspace><mi>E</mi></mrow></semantics></math></inline-formula>, and a hollow mostly free of partons is formed inside the nucleons along the central axis in the direction of their motion. Numerical estimates of the corresponding parameters are obtained. |
| first_indexed | 2024-03-10T07:20:50Z |
| format | Article |
| id | doaj.art-fed7e43ba64e4d7585ec45a22ee232c7 |
| institution | Directory Open Access Journal |
| issn | 2571-712X |
| language | English |
| last_indexed | 2024-03-10T07:20:50Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Particles |
| spelling | doaj.art-fed7e43ba64e4d7585ec45a22ee232c72023-11-22T14:41:11ZengMDPI AGParticles2571-712X2021-08-014338139010.3390/particles4030032On the Shape of Nucleons at High EnergiesMaksim L. Nekrasov0Institute for High Energy Physics, NRC “Kurchatov Institute”, Protvino 142281, RussiaA scenario of the evolution of the shape of nucleons with increasing energy is described in the framework of an extended parton model, which consistently takes into account the transverse motion of the partons. At the energy <i>E</i> up to LHC, the nucleons have the form of a spheroid which expands as <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msqrt><mrow><mo form="prefix">ln</mo><mspace width="-0.166667em"></mspace><mi>E</mi></mrow></msqrt></semantics></math></inline-formula> in the transverse directions and grows linearly in <i>E</i> in the longitudinal direction. With a further increase in the energy, a mode of correlated behavior of the partons is established, which stops the longitudinal growth. Simultaneously, the expansion in the transverse directions changes to <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo form="prefix">ln</mo><mspace width="-0.166667em"></mspace><mi>E</mi></mrow></semantics></math></inline-formula>, and a hollow mostly free of partons is formed inside the nucleons along the central axis in the direction of their motion. Numerical estimates of the corresponding parameters are obtained.https://www.mdpi.com/2571-712X/4/3/32proton shapeinteraction regionimpact parametercross sectiondiffraction coneparton model |
| spellingShingle | Maksim L. Nekrasov On the Shape of Nucleons at High Energies Particles proton shape interaction region impact parameter cross section diffraction cone parton model |
| title | On the Shape of Nucleons at High Energies |
| title_full | On the Shape of Nucleons at High Energies |
| title_fullStr | On the Shape of Nucleons at High Energies |
| title_full_unstemmed | On the Shape of Nucleons at High Energies |
| title_short | On the Shape of Nucleons at High Energies |
| title_sort | on the shape of nucleons at high energies |
| topic | proton shape interaction region impact parameter cross section diffraction cone parton model |
| url | https://www.mdpi.com/2571-712X/4/3/32 |
| work_keys_str_mv | AT maksimlnekrasov ontheshapeofnucleonsathighenergies |