The <inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> Interaction in Higher Partial Waves
We present a chiral <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N<...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-08-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/8/1434 |
| _version_ | 1797521948594405376 |
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| author | Albert Feijoo Daniel Gazda Volodymyr Magas Àngels Ramos |
| author_facet | Albert Feijoo Daniel Gazda Volodymyr Magas Àngels Ramos |
| author_sort | Albert Feijoo |
| collection | DOAJ |
| description | We present a chiral <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> interaction model that has been developed and optimized in order to account for the experimental data of inelastic <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> reaction channels that open at higher energies. In particular, we study the effect of the higher partial waves, which originate directly from the chiral Lagrangian, as they could supersede the role of high-spin resonances employed in earlier phenomenological models to describe meson-baryon cross sections in the 2 GeV region. We present a detailed derivation of the partial wave amplitudes that emerge from the chiral SU(3) meson-baryon Lagrangian up to the d-waves and next-to-leading order in the chiral expansion. We implement a nonperturbative unitarization in coupled channels and optimize the model parameters to a large pool of experimental data in the relevant energy range where these new contributions are expected to be important. The obtained results are encouraging. They indicate the ability of the chiral higher partial waves to extend the description of the scattering data to higher energies and to account for structures in the reaction cross-sections that cannot be accommodated by theoretical models limited to the s-waves. |
| first_indexed | 2024-03-10T08:20:43Z |
| format | Article |
| id | doaj.art-a98647ea3958410daba47d94a3740f48 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T08:20:43Z |
| publishDate | 2021-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-a98647ea3958410daba47d94a3740f482023-11-22T10:01:25ZengMDPI AGSymmetry2073-89942021-08-01138143410.3390/sym13081434The <inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> Interaction in Higher Partial WavesAlbert Feijoo0Daniel Gazda1Volodymyr Magas2Àngels Ramos3Instituto de Física Corpuscular (Centro Mixto CSIC-UV), Institutos de Investigación de Paterna, Apartados 22085, 46071 Valencia, SpainNuclear Physics Institute of the Czech Academy of Sciences, 25068 Řež, Czech RepublicDepartament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, SpainDepartament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, SpainWe present a chiral <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> interaction model that has been developed and optimized in order to account for the experimental data of inelastic <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> reaction channels that open at higher energies. In particular, we study the effect of the higher partial waves, which originate directly from the chiral Lagrangian, as they could supersede the role of high-spin resonances employed in earlier phenomenological models to describe meson-baryon cross sections in the 2 GeV region. We present a detailed derivation of the partial wave amplitudes that emerge from the chiral SU(3) meson-baryon Lagrangian up to the d-waves and next-to-leading order in the chiral expansion. We implement a nonperturbative unitarization in coupled channels and optimize the model parameters to a large pool of experimental data in the relevant energy range where these new contributions are expected to be important. The obtained results are encouraging. They indicate the ability of the chiral higher partial waves to extend the description of the scattering data to higher energies and to account for structures in the reaction cross-sections that cannot be accommodated by theoretical models limited to the s-waves.https://www.mdpi.com/2073-8994/13/8/1434chiral Lagrangianunitarizationresonances<i><span style="text-decoration: overline">K</span>N</i> interaction |
| spellingShingle | Albert Feijoo Daniel Gazda Volodymyr Magas Àngels Ramos The <inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> Interaction in Higher Partial Waves Symmetry chiral Lagrangian unitarization resonances <i><span style="text-decoration: overline">K</span>N</i> interaction |
| title | The <inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> Interaction in Higher Partial Waves |
| title_full | The <inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> Interaction in Higher Partial Waves |
| title_fullStr | The <inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> Interaction in Higher Partial Waves |
| title_full_unstemmed | The <inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> Interaction in Higher Partial Waves |
| title_short | The <inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mi>K</mi><mo stretchy="false">¯</mo></mover><mi>N</mi></mrow></semantics></math></inline-formula> Interaction in Higher Partial Waves |
| title_sort | inline formula math display inline semantics mrow mover accent true mi k mi mo stretchy false ¯ mo mover mi n mi mrow semantics math inline formula interaction in higher partial waves |
| topic | chiral Lagrangian unitarization resonances <i><span style="text-decoration: overline">K</span>N</i> interaction |
| url | https://www.mdpi.com/2073-8994/13/8/1434 |
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