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Nonrelativistic Heavy Quarkonium Model Descended from a Quasi-Particle Approach
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open access |
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This is a post-peer-review, pre-copyedit version of an article published in Few-body systems. The final authenticated version is available online at: https://doi.org/10.1007/s00601-022-01782-w
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Description |
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Abstract
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A Schr¨odinger-type equation for a heavy quarkonium in terms of the dynamical quark mass is obtained in a quasi-particle (QP) approach by Llanes-Estrada and Cotanch. To observe the relationship between the obtained equation and the constituent quark (potential) model equation, we treat the dynamical quark mass by a constant parameter M and expand the equation in 1/M up to order (1/M). The equation reduces to that of the traditional nonrelativistic constituent quark(CQ) model when a nonlocal interaction is neglected. We investigate the nonrelativistic model where the dynamical quark mass M in the Schr¨odinger-type equation is treated as a free parameter and call it the quasi-quark (QQ) model. To elucidate the role of the nonlocal interaction and to observe the reliability of the QQ model, we studied the charmonium S-wave states.
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Springer Wien
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journal article |
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AM |
Identifier |
HDL
http://hdl.handle.net/2115/91233
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isVersionOf
DOI
https://doi.org/10.1007/s00601-022-01782-w
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Journal |
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PISSN
0177-7963
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EISSN
1432-5411
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NCID
AA1067897X
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Few-Body Systems
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Volume Number64
Issue Number1
Page Start2
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Oaidate |
2024-03-02 |