(<i>I</i>, <i>J<sup>P</sup></i>) = (1, 1/2<sup>+</sup>)Σ<i>NN</i> Quasibound State
JLab has recently found indications of the possible existence of a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Σ</mo><mi>N</mi><mi>N</mi></mrow></semant...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/14/11/2381 |
| _version_ | 1797463898203357184 |
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| author | Humberto Garcilazo Alfredo Valcarce |
| author_facet | Humberto Garcilazo Alfredo Valcarce |
| author_sort | Humberto Garcilazo |
| collection | DOAJ |
| description | JLab has recently found indications of the possible existence of a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Σ</mo><mi>N</mi><mi>N</mi></mrow></semantics></math></inline-formula> resonance at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mn>3.14</mn><mo>±</mo><mn>0.84</mn><mo>)</mo><mo>−</mo><mi>i</mi><mo>(</mo><mn>2.28</mn><mo>±</mo><mn>1.2</mn><mo>)</mo></mrow></semantics></math></inline-formula> MeV. In the past, using models that exploit symmetries between the two-baryon sector with and without strangeness, hyperon–nucleon interactions that reproduce the experimental data of the strangeness <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><mn>1</mn></mrow></semantics></math></inline-formula> sector have been derived. We make use of these interactions to review the existing Faddeev studies of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Λ</mo><mi>N</mi><mi>N</mi><mo>−</mo><mo>Σ</mo><mi>N</mi><mi>N</mi></mrow></semantics></math></inline-formula> system that show theoretical evidence of a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mi>I</mi><mo>,</mo><msup><mi>J</mi><mi>P</mi></msup><mo>)</mo></mrow><mo>=</mo><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>/</mo><msup><mn>2</mn><mo>+</mo></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Σ</mo><mi>N</mi><mi>N</mi></mrow></semantics></math></inline-formula> quasibound state near the threshold. The calculated position of the pole is at 2.92<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mspace width="0.166667em"></mspace><mo>−</mo><mi>i</mi><mspace width="0.166667em"></mspace></mrow></semantics></math></inline-formula>2.17 MeV, which is in reasonable agreement with the experimental findings. |
| first_indexed | 2024-03-09T17:57:17Z |
| format | Article |
| id | doaj.art-8b0c6b79c0cc4788ab6cc70b21b2c1b6 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-09T17:57:17Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-8b0c6b79c0cc4788ab6cc70b21b2c1b62023-11-24T10:13:06ZengMDPI AGSymmetry2073-89942022-11-011411238110.3390/sym14112381(<i>I</i>, <i>J<sup>P</sup></i>) = (1, 1/2<sup>+</sup>)Σ<i>NN</i> Quasibound StateHumberto Garcilazo0Alfredo Valcarce1Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, México D. F. 07738, MexicoDepartamento de Física Fundamental, Universidad de Salamanca, E-37008 Salamanca, SpainJLab has recently found indications of the possible existence of a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Σ</mo><mi>N</mi><mi>N</mi></mrow></semantics></math></inline-formula> resonance at <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mn>3.14</mn><mo>±</mo><mn>0.84</mn><mo>)</mo><mo>−</mo><mi>i</mi><mo>(</mo><mn>2.28</mn><mo>±</mo><mn>1.2</mn><mo>)</mo></mrow></semantics></math></inline-formula> MeV. In the past, using models that exploit symmetries between the two-baryon sector with and without strangeness, hyperon–nucleon interactions that reproduce the experimental data of the strangeness <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>−</mo><mn>1</mn></mrow></semantics></math></inline-formula> sector have been derived. We make use of these interactions to review the existing Faddeev studies of the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Λ</mo><mi>N</mi><mi>N</mi><mo>−</mo><mo>Σ</mo><mi>N</mi><mi>N</mi></mrow></semantics></math></inline-formula> system that show theoretical evidence of a <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mrow><mo>(</mo><mi>I</mi><mo>,</mo><msup><mi>J</mi><mi>P</mi></msup><mo>)</mo></mrow><mo>=</mo><mrow><mo>(</mo><mn>1</mn><mo>,</mo><mn>1</mn><mo>/</mo><msup><mn>2</mn><mo>+</mo></msup><mo>)</mo></mrow></mrow></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>Σ</mo><mi>N</mi><mi>N</mi></mrow></semantics></math></inline-formula> quasibound state near the threshold. The calculated position of the pole is at 2.92<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mspace width="0.166667em"></mspace><mo>−</mo><mi>i</mi><mspace width="0.166667em"></mspace></mrow></semantics></math></inline-formula>2.17 MeV, which is in reasonable agreement with the experimental findings.https://www.mdpi.com/2073-8994/14/11/2381multiquarksquark modelsfew-body systems |
| spellingShingle | Humberto Garcilazo Alfredo Valcarce (<i>I</i>, <i>J<sup>P</sup></i>) = (1, 1/2<sup>+</sup>)Σ<i>NN</i> Quasibound State Symmetry multiquarks quark models few-body systems |
| title | (<i>I</i>, <i>J<sup>P</sup></i>) = (1, 1/2<sup>+</sup>)Σ<i>NN</i> Quasibound State |
| title_full | (<i>I</i>, <i>J<sup>P</sup></i>) = (1, 1/2<sup>+</sup>)Σ<i>NN</i> Quasibound State |
| title_fullStr | (<i>I</i>, <i>J<sup>P</sup></i>) = (1, 1/2<sup>+</sup>)Σ<i>NN</i> Quasibound State |
| title_full_unstemmed | (<i>I</i>, <i>J<sup>P</sup></i>) = (1, 1/2<sup>+</sup>)Σ<i>NN</i> Quasibound State |
| title_short | (<i>I</i>, <i>J<sup>P</sup></i>) = (1, 1/2<sup>+</sup>)Σ<i>NN</i> Quasibound State |
| title_sort | i i i i j sup p sup i 1 1 2 sup sup σ i nn i quasibound state |
| topic | multiquarks quark models few-body systems |
| url | https://www.mdpi.com/2073-8994/14/11/2381 |
| work_keys_str_mv | AT humbertogarcilazo iiiijsuppsupi112supsupsinniquasiboundstate AT alfredovalcarce iiiijsuppsupi112supsupsinniquasiboundstate |