Regge-like relation and a universal description of heavy–light systems
Abstract Using the Regge-like formula $$(M-m_Q)^2=\pi \sigma L$$ (M-mQ)2=πσL between hadron mass M and angular momentum L with a heavy quark mass $$m_Q$$ mQ and a string tension $$\sigma $$ σ , we analyze all the heavy–light systems, i.e., $$D/D_s/B/B_s$$ D/Ds/B/Bs mesons and charmed and bottom bary...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-017-5512-3 |
| _version_ | 1811224712269791232 |
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| author | Kan Chen Yubing Dong Xiang Liu Qi-Fang Lü Takayuki Matsuki |
| author_facet | Kan Chen Yubing Dong Xiang Liu Qi-Fang Lü Takayuki Matsuki |
| author_sort | Kan Chen |
| collection | DOAJ |
| description | Abstract Using the Regge-like formula $$(M-m_Q)^2=\pi \sigma L$$ (M-mQ)2=πσL between hadron mass M and angular momentum L with a heavy quark mass $$m_Q$$ mQ and a string tension $$\sigma $$ σ , we analyze all the heavy–light systems, i.e., $$D/D_s/B/B_s$$ D/Ds/B/Bs mesons and charmed and bottom baryons. Numerical plots are obtained for all the heavy–light mesons of experimental data whose slope becomes nearly equal to 1/2 of that for light hadrons. Assuming that charmed and bottom baryons consist of one heavy quark and one light cluster of two light quarks (diquark), we apply the formula to all the heavy–light baryons including the recently discovered $$\Omega _c$$ Ωc and find that these baryons experimentally measured satisfy the above formula. We predict the average mass values of B, $$B_s$$ Bs , $$\Lambda _b$$ Λb , $$\Sigma _c$$ Σc , $$\Xi _c$$ Ξc , and $$\Omega _c$$ Ωc with $$L=2$$ L=2 to be 6.01, 6.13, 6.15, 3.05, 3.07, and 3.34 GeV, respectively. Our results on baryons suggest that these baryons can be safely regarded as heavy quark–light cluster configuration. We also find a universal description for all the heavy–light mesons as well as baryons, i.e., one unique line is enough to describe both of charmed and bottom heavy–light systems. Our results suggest that instead of mass itself, gluon flux energy is essential to obtain a linear trajectory. Our method gives a straight line for $$B_c$$ Bc although the curved parent Regge trajectory was suggested before. |
| first_indexed | 2024-04-12T08:53:51Z |
| format | Article |
| id | doaj.art-518ecf0859964636b8a091a3221c1642 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-04-12T08:53:51Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-518ecf0859964636b8a091a3221c16422022-12-22T03:39:30ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-01-0178111110.1140/epjc/s10052-017-5512-3Regge-like relation and a universal description of heavy–light systemsKan Chen0Yubing Dong1Xiang Liu2Qi-Fang Lü3Takayuki Matsuki4School of Physical Science and Technology, Lanzhou UniversityInstitute of High Energy Physics, CASSchool of Physical Science and Technology, Lanzhou UniversityInstitute of High Energy Physics, CASTokyo Kasei UniversityAbstract Using the Regge-like formula $$(M-m_Q)^2=\pi \sigma L$$ (M-mQ)2=πσL between hadron mass M and angular momentum L with a heavy quark mass $$m_Q$$ mQ and a string tension $$\sigma $$ σ , we analyze all the heavy–light systems, i.e., $$D/D_s/B/B_s$$ D/Ds/B/Bs mesons and charmed and bottom baryons. Numerical plots are obtained for all the heavy–light mesons of experimental data whose slope becomes nearly equal to 1/2 of that for light hadrons. Assuming that charmed and bottom baryons consist of one heavy quark and one light cluster of two light quarks (diquark), we apply the formula to all the heavy–light baryons including the recently discovered $$\Omega _c$$ Ωc and find that these baryons experimentally measured satisfy the above formula. We predict the average mass values of B, $$B_s$$ Bs , $$\Lambda _b$$ Λb , $$\Sigma _c$$ Σc , $$\Xi _c$$ Ξc , and $$\Omega _c$$ Ωc with $$L=2$$ L=2 to be 6.01, 6.13, 6.15, 3.05, 3.07, and 3.34 GeV, respectively. Our results on baryons suggest that these baryons can be safely regarded as heavy quark–light cluster configuration. We also find a universal description for all the heavy–light mesons as well as baryons, i.e., one unique line is enough to describe both of charmed and bottom heavy–light systems. Our results suggest that instead of mass itself, gluon flux energy is essential to obtain a linear trajectory. Our method gives a straight line for $$B_c$$ Bc although the curved parent Regge trajectory was suggested before.http://link.springer.com/article/10.1140/epjc/s10052-017-5512-3 |
| spellingShingle | Kan Chen Yubing Dong Xiang Liu Qi-Fang Lü Takayuki Matsuki Regge-like relation and a universal description of heavy–light systems European Physical Journal C: Particles and Fields |
| title | Regge-like relation and a universal description of heavy–light systems |
| title_full | Regge-like relation and a universal description of heavy–light systems |
| title_fullStr | Regge-like relation and a universal description of heavy–light systems |
| title_full_unstemmed | Regge-like relation and a universal description of heavy–light systems |
| title_short | Regge-like relation and a universal description of heavy–light systems |
| title_sort | regge like relation and a universal description of heavy light systems |
| url | http://link.springer.com/article/10.1140/epjc/s10052-017-5512-3 |
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