Motivated by the present interest in the heavy quark effective theory, we construct a model for heavy mesons based on a relativistic bound state wave equation, the Gross equation. The kernel we use is based on scalar confining and vector Coulomb potentials. Wave functions are treated to leading order and energies to order 1/MQ in the heavy-light systems, and to order 1/M2Q in heavy-heavy systems. Our results are in good agreement with experimental measurements. This model may be used to study weak decay properties in the framework of the heavy quark effective theory and ultimately to extract Vcb from experimental data.
","abstract_html":"<p>Motivated by the present interest in the heavy quark effective theory, we construct a model for heavy mesons based on a relativistic bound state wave equation, the Gross equation. The kernel we use is based on scalar confining and vector Coulomb potentials. Wave functions are treated to leading order and energies to order 1/<sub>MQ</sub> in the heavy-light systems, and to order 1/<sub>M</sub><sup>2</sup><sub>Q</sub> in heavy-heavy systems. Our results are in good agreement with experimental measurements. This model may be used to study weak decay properties in the framework of the heavy quark effective theory and ultimately to extract V<sub>cb</sub> from experimental data.</p>","abstract_has_math":false,"creators":["Zeng, Jialin"],"institution":null,"degree_name":"Doctor of Philosophy (PhD)","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["J. W. Van Orden","James L. Cox, Jr.","Ali A. Nowroozi","Paul Ulmer","Kar Y. Lee"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1995,"date_issued":"1995-10-01T07:00:00Z","date_published":"1995-10-01T07:00:00Z","updated_at":"2026-07-24T03:34:18Z","subjects":["Gross equation","Mesons","Quark models","Elementary Particles and Fields and String Theory"],"languages":[],"rights":["In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
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"]},{"key":"dc:title","label":"Title","values":["A Relativistic Model for Heavy Mesons"]}]}],"canonical_facts":{"dc:contributor":["J. W. Van Orden","James L. Cox, Jr.","Ali A. Nowroozi","Paul Ulmer","Kar Y. Lee"],"dc:creator":["Zeng, Jialin"],"dc:date.available":["2019-02-22T08:00:00Z"],"dc:description.abstract":["Motivated by the present interest in the heavy quark effective theory, we construct a model for heavy mesons based on a relativistic bound state wave equation, the Gross equation. The kernel we use is based on scalar confining and vector Coulomb potentials. Wave functions are treated to leading order and energies to order 1/MQ in the heavy-light systems, and to order 1/M2Q in heavy-heavy systems. Our results are in good agreement with experimental measurements. This model may be used to study weak decay properties in the framework of the heavy quark effective theory and ultimately to extract Vcb from experimental data.
"],"dc:identifier":["https://digitalcommons.odu.edu/physics_etds/95"],"dc:rights":["In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
"],"dc:subject":["Gross equation","Mesons","Quark models","Elementary Particles and Fields and String Theory"],"dc:title":["A Relativistic Model for Heavy Mesons"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Doctor of Philosophy (PhD)"]},"updated_at":"2026-07-24T03:34:18Z"}