The primary objective of this study is to investigate hadronic molecules of using a one-boson-exchange model, which incorporates exchanges of vector and pseudoscalar mesons in the t-channel, as well as the pion exchange in the u-channel. Additionally, careful consideration is given to the three-body effects resulting from the on-shell pion originating from . Then the BESIII data of the process is fitted using the scattering amplitude with or . The analysis reveals that both the and assumptions for scattering provide good descriptions of the data, with similar fit qualities. Notably, the parameters obtained from the best fits indicate the existence of bound states, denoted by and for the and states, respectively. The current experimental data, including the η polar angular distribution, cannot distinguish which bound state contributes to the process, or if both are involved. Therefore, we propose further explorations of this process, as well as other processes, in upcoming experiments with many more events to disentangle the different possibilities.
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"surname": "Dong",
"given_names": "Xiang-Kun",
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"value": "Helmholtz-Institut f\u00fcr Strahlen- und Kernphysik, Bethe Center for Theoretical Physics, Universit\u00e4t Bonn, Bonn, Germany"
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"full_name": "Dong, Xiang-Kun",
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"surname": "Ji",
"given_names": "Teng",
"affiliations": [
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"country": "Germany",
"value": "Helmholtz-Institut f\u00fcr Strahlen- und Kernphysik, Bethe Center for Theoretical Physics, Universit\u00e4t Bonn, Bonn, Germany"
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"full_name": "Ji, Teng",
"orcid": "0000-0003-0366-1042",
"email": "teng@hiskp.uni-bonn.de"
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{
"surname": "Guo",
"given_names": "Feng-Kun",
"affiliations": [
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"country": "China",
"value": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China"
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{
"country": "China",
"value": "School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China"
},
{
"country": "China",
"value": "Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing, China"
},
{
"country": "China",
"value": "Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou, China"
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"full_name": "Guo, Feng-Kun",
"orcid": "0000-0002-2919-2064",
"email": "fkguo@itp.ac.cn"
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{
"surname": "Mei\u00dfner",
"given_names": "Ulf-G.",
"affiliations": [
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"country": "Germany",
"value": "Helmholtz-Institut f\u00fcr Strahlen- und Kernphysik, Bethe Center for Theoretical Physics, Universit\u00e4t Bonn, Bonn, Germany"
},
{
"country": "Germany",
"value": "Institute for Advanced Simulation (IAS-4), Forschungszentrum J\u00fclich, J\u00fclich, Germany"
},
{
"country": "Georgia",
"value": "Tbilisi State University, Tbilisi, Georgia"
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"full_name": "Mei\u00dfner, Ulf-G.",
"orcid": "0000-0003-1254-442X",
"email": "meissner@hiskp.uni-bonn.de"
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{
"surname": "Zou",
"given_names": "Bing-Song",
"affiliations": [
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"country": "China",
"value": "CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China"
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{
"country": "China",
"value": "School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China"
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{
"country": "China",
"value": "Peng Huanwu Collaborative Center for Research and Education, Beihang University, Beijing, China"
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{
"country": "China",
"value": "Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou, China"
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{
"country": "China",
"value": "Department of Physics, Tsinghua University, Beijing, China"
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"full_name": "Zou, Bing-Song",
"orcid": "0000-0002-3000-7540",
"email": "zoubs@itp.ac.cn"
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"title": "Hints of the = 0 And 1 Molecules in the / \u2192 \u2032 Decay"
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"source": "Elsevier",
"value": "The primary objective of this study is to investigate hadronic molecules of <math><msup><mrow><mi>K</mi></mrow><mrow><mo>\u204e</mo></mrow></msup><msub><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mn>1270</mn><mo>)</mo></math> using a one-boson-exchange model, which incorporates exchanges of vector and pseudoscalar mesons in the t-channel, as well as the pion exchange in the u-channel. Additionally, careful consideration is given to the three-body effects resulting from the on-shell pion originating from <math><msub><mrow><mi>K</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mn>1270</mn><mo>)</mo><mo>\u2192</mo><msup><mrow><mi>K</mi></mrow><mrow><mo>\u204e</mo></mrow></msup><mi>\u03c0</mi></math>. Then the BESIII data of the <math><mi>J</mi><mo>/</mo><mi>\u03c8</mi><mo>\u2192</mo><mi>\u03d5</mi><mi>\u03b7</mi><msup><mrow><mi>\u03b7</mi></mrow><mrow><mo>\u2032</mo></mrow></msup></math> process is fitted using the <math><msup><mrow><mi>K</mi></mrow><mrow><mo>\u204e</mo></mrow></msup><msub><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mn>1270</mn><mo>)</mo></math> scattering amplitude with <math><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mrow><mn>0</mn></mrow><mrow><mo>\u2212</mo><mo>\u2212</mo></mrow></msup></math> or <math><msup><mrow><mn>1</mn></mrow><mrow><mo>\u2212</mo><mo>\u2212</mo></mrow></msup></math>. The analysis reveals that both the <math><msup><mrow><mi>J</mi></mrow><mrow><mi>P</mi><mi>C</mi></mrow></msup><mo>=</mo><msup><mrow><mn>0</mn></mrow><mrow><mo>\u2212</mo><mo>\u2212</mo></mrow></msup></math> and <math><msup><mrow><mn>1</mn></mrow><mrow><mo>\u2212</mo><mo>\u2212</mo></mrow></msup></math> assumptions for <math><msup><mrow><mi>K</mi></mrow><mrow><mo>\u204e</mo></mrow></msup><msub><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mn>1270</mn><mo>)</mo></math> scattering provide good descriptions of the data, with similar fit qualities. Notably, the parameters obtained from the best fits indicate the existence of <math><msup><mrow><mi>K</mi></mrow><mrow><mo>\u204e</mo></mrow></msup><msub><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mn>1270</mn><mo>)</mo></math> bound states, denoted by <math><mi>\u03d5</mi><mo>(</mo><mn>2100</mn><mo>)</mo></math> and <math><msub><mrow><mi>\u03d5</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>(</mo><mn>2100</mn><mo>)</mo></math> for the <math><msup><mrow><mn>1</mn></mrow><mrow><mo>\u2212</mo><mo>\u2212</mo></mrow></msup></math> and <math><msup><mrow><mn>0</mn></mrow><mrow><mo>\u2212</mo><mo>\u2212</mo></mrow></msup></math> states, respectively. The current experimental data, including the \u03b7 polar angular distribution, cannot distinguish which <math><msup><mrow><mi>K</mi></mrow><mrow><mo>\u204e</mo></mrow></msup><msub><mrow><mover><mrow><mi>K</mi></mrow><mrow><mo>\u00af</mo></mrow></mover></mrow><mrow><mn>1</mn></mrow></msub><mo>(</mo><mn>1270</mn><mo>)</mo></math> bound state contributes to the <math><mi>J</mi><mo>/</mo><mi>\u03c8</mi><mo>\u2192</mo><mi>\u03d5</mi><mi>\u03b7</mi><msup><mrow><mi>\u03b7</mi></mrow><mrow><mo>\u2032</mo></mrow></msup></math> process, or if both are involved. Therefore, we propose further explorations of this process, as well as other processes, in upcoming experiments with many more <math><mi>J</mi><mo>/</mo><mi>\u03c8</mi></math> events to disentangle the different possibilities."
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