There is a long-standing anomaly in the ratio of the decay width for $$\psi (3770)\rightarrow D^0\overline{D^0}$$ to that for $$\psi (3770)\rightarrow D^+D^-$$ at the level of $$9.5\,\sigma $$ . A similar anomaly exists for the ratio of $$\phi (1020)\rightarrow K_\text {L}^0K_\text {S}^0$$ to $$\phi (1020)\rightarrow K^+K^-$$ at $$2.1\,\sigma $$ . In this study, we reassess the anomaly through the lens of a Gaussian wave-packet formalism. Our comprehensive calculations include the localization of the overlap of the wave packets near the mass thresholds and the composite nature of the initial-state vector mesons. The results align within a $$\sim 1 \sigma $$ confidence level with the Particle Data Group’s central values for a physically reasonable value of the form-factor parameter, indicating a resolution to these anomalies. We also check the deviation of a wave-packet resonance from the Briet–Wigner shape and find that wide ranges of the wave-packet size are consistent with the experimental data.
{ "_oai": { "updated": "2024-03-23T00:31:44Z", "id": "oai:repo.scoap3.org:81201", "sets": [ "EPJC" ] }, "authors": [ { "affiliations": [ { "country": "Japan", "value": "Department of Physics, Faculty of Science, Hokkaido University, Sapporo, 060-0810, Japan", "organization": "Hokkaido University" }, { "country": "Japan", "value": "Natural Science Center, Keio University, Yokohama, 223-8521, Japan", "organization": "Keio University" } ], "surname": "Ishikawa", "email": "ishikawa@particle.sci.hokudai.ac.jp", "full_name": "Ishikawa, Kenzo", "given_names": "Kenzo" }, { "affiliations": [ { "country": "Japan", "value": "Department of Physics, Faculty of Science, Tokyo Institute of Technology, Tokyo, 152-8550, Japan", "organization": "Tokyo Institute of Technology" } ], "surname": "Jinnouchi", "email": "jinnouchi@phys.titech.ac.jp", "full_name": "Jinnouchi, Osamu", "given_names": "Osamu" }, { "affiliations": [ { "country": "India", "value": "Department of Physics, Shiv Nadar Institution of Eminence, Gautam Buddha Nagar, 201314, India", "organization": "Shiv Nadar Institution of Eminence" } ], "surname": "Nishiwaki", "email": "kenji.nishiwaki@snu.edu.in", "full_name": "Nishiwaki, Kenji", "given_names": "Kenji" }, { "affiliations": [ { "country": "Japan", "value": "Department of Mathematics, Tokyo Woman\u2019s Christian University, Tokyo, 167-8585, Japan", "organization": "Tokyo Woman\u2019s Christian University" } ], "surname": "Oda", "email": "odakin@lab.twcu.ac.jp", "full_name": "Oda, Kin-ya", "given_names": "Kin-ya" } ], "titles": [ { "source": "Springer", "title": "Wave-packet effects: a solution for isospin anomalies in vector-meson decay" } ], "dois": [ { "value": "10.1140/epjc/s10052-023-12077-7" } ], "publication_info": [ { "page_end": "32", "journal_title": "European Physical Journal C", "material": "article", "journal_volume": "83", "artid": "s10052-023-12077-7", "year": 2023, "page_start": "1", "journal_issue": "10" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-03-23T00:30:47.974785", "source": "Springer", "method": "Springer", "submission_number": "7ba03dd0e8ac11eeae4696b6a0e1ccbd" }, "page_nr": [ 32 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "81201", "record_creation_date": "2023-10-30T21:30:22.594374", "_files": [ { "checksum": "md5:bdc9bb5fc233221d7d0d4574eb940aa4", "filetype": "xml", "bucket": "73a4f2e4-da19-4272-b5bc-e54363a45322", "version_id": "49cf8970-0d95-4338-b3a3-049536ebd1dc", "key": "10.1140/epjc/s10052-023-12077-7.xml", "size": 21808 }, { "checksum": "md5:351d38b924ecb9c1f795568d734732d9", "filetype": "pdf/a", "bucket": "73a4f2e4-da19-4272-b5bc-e54363a45322", "version_id": "bb86464a-ca23-470e-90f6-9e20a4183329", "key": "10.1140/epjc/s10052-023-12077-7_a.pdf", "size": 3271793 } ], "collections": [ { "primary": "European Physical Journal C" } ], "arxiv_eprints": [ { "categories": [ "hep-ph", "hep-ex" ], "value": "2308.09933" } ], "abstracts": [ { "source": "Springer", "value": "There is a long-standing anomaly in the ratio of the decay width for $$\\psi (3770)\\rightarrow D^0\\overline{D^0}$$ <math> <mrow> <mi>\u03c8</mi> <mrow> <mo>(</mo> <mn>3770</mn> <mo>)</mo> </mrow> <mo>\u2192</mo> <msup> <mi>D</mi> <mn>0</mn> </msup> <mover> <msup> <mi>D</mi> <mn>0</mn> </msup> <mo>\u00af</mo> </mover> </mrow> </math> to that for $$\\psi (3770)\\rightarrow D^+D^-$$ <math> <mrow> <mi>\u03c8</mi> <mrow> <mo>(</mo> <mn>3770</mn> <mo>)</mo> </mrow> <mo>\u2192</mo> <msup> <mi>D</mi> <mo>+</mo> </msup> <msup> <mi>D</mi> <mo>-</mo> </msup> </mrow> </math> at the level of $$9.5\\,\\sigma $$ <math> <mrow> <mn>9.5</mn> <mspace width=\"0.166667em\"></mspace> <mi>\u03c3</mi> </mrow> </math> . A similar anomaly exists for the ratio of $$\\phi (1020)\\rightarrow K_\\text {L}^0K_\\text {S}^0$$ <math> <mrow> <mi>\u03d5</mi> <mrow> <mo>(</mo> <mn>1020</mn> <mo>)</mo> </mrow> <mo>\u2192</mo> <msubsup> <mi>K</mi> <mtext>L</mtext> <mn>0</mn> </msubsup> <msubsup> <mi>K</mi> <mtext>S</mtext> <mn>0</mn> </msubsup> </mrow> </math> to $$\\phi (1020)\\rightarrow K^+K^-$$ <math> <mrow> <mi>\u03d5</mi> <mrow> <mo>(</mo> <mn>1020</mn> <mo>)</mo> </mrow> <mo>\u2192</mo> <msup> <mi>K</mi> <mo>+</mo> </msup> <msup> <mi>K</mi> <mo>-</mo> </msup> </mrow> </math> at $$2.1\\,\\sigma $$ <math> <mrow> <mn>2.1</mn> <mspace width=\"0.166667em\"></mspace> <mi>\u03c3</mi> </mrow> </math> . In this study, we reassess the anomaly through the lens of a Gaussian wave-packet formalism. Our comprehensive calculations include the localization of the overlap of the wave packets near the mass thresholds and the composite nature of the initial-state vector mesons. The results align within a $$\\sim 1 \\sigma $$ <math> <mrow> <mo>\u223c</mo> <mn>1</mn> <mi>\u03c3</mi> </mrow> </math> confidence level with the Particle Data Group\u2019s central values for a physically reasonable value of the form-factor parameter, indicating a resolution to these anomalies. We also check the deviation of a wave-packet resonance from the Briet\u2013Wigner shape and find that wide ranges of the wave-packet size are consistent with the experimental data." } ], "imprints": [ { "date": "2023-10-30", "publisher": "Springer" } ] }