QCD inequalities for hadron interactions
We derive generalizations of the Weingarten-Witten QCD mass inequalities for particular multihadron systems. For systems of any number of identical pseudoscalar mesons of maximal isospin, these inequalities prove that near threshold interactions between the constituent mesons must be repulsive and t...
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/97170 https://orcid.org/0000-0002-0400-8363 |
| _version_ | 1811094966526541824 |
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| author | Detmold, William |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Detmold, William |
| author_sort | Detmold, William |
| collection | MIT |
| description | We derive generalizations of the Weingarten-Witten QCD mass inequalities for particular multihadron systems. For systems of any number of identical pseudoscalar mesons of maximal isospin, these inequalities prove that near threshold interactions between the constituent mesons must be repulsive and that no bound states can form in these channels. Similar constraints in less symmetric systems are also extracted. These results are compatible with experimental results (where known) and recent lattice QCD calculations, and also lead to a more stringent bound on the nucleon mass than previously derived, m[subscript N] ≥ 3/2m[subscript π]. |
| first_indexed | 2024-09-23T16:08:22Z |
| format | Article |
| id | mit-1721.1/97170 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:08:22Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/971702022-10-02T06:34:56Z QCD inequalities for hadron interactions Detmold, William Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Detmold, William We derive generalizations of the Weingarten-Witten QCD mass inequalities for particular multihadron systems. For systems of any number of identical pseudoscalar mesons of maximal isospin, these inequalities prove that near threshold interactions between the constituent mesons must be repulsive and that no bound states can form in these channels. Similar constraints in less symmetric systems are also extracted. These results are compatible with experimental results (where known) and recent lattice QCD calculations, and also lead to a more stringent bound on the nucleon mass than previously derived, m[subscript N] ≥ 3/2m[subscript π]. United States. Dept. of Energy (Early Career Research Award DE-SC0010495) Solomon Buchsbaum AT&T Research Fund 2015-06-03T12:29:45Z 2015-06-03T12:29:45Z 2015-06 2015-01 2015-06-02T22:00:03Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/97170 Detmold, William. "QCD inequalities for hadron interactions." Phys. Rev. Lett. 114, 222001 (June 2015). © 2015 American Physical Society https://orcid.org/0000-0002-0400-8363 en http://dx.doi.org/10.1103/PhysRevLett.114.222001 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Detmold, William QCD inequalities for hadron interactions |
| title | QCD inequalities for hadron interactions |
| title_full | QCD inequalities for hadron interactions |
| title_fullStr | QCD inequalities for hadron interactions |
| title_full_unstemmed | QCD inequalities for hadron interactions |
| title_short | QCD inequalities for hadron interactions |
| title_sort | qcd inequalities for hadron interactions |
| url | http://hdl.handle.net/1721.1/97170 https://orcid.org/0000-0002-0400-8363 |
| work_keys_str_mv | AT detmoldwilliam qcdinequalitiesforhadroninteractions |