Alternative calculation of the physical mass of the p-meson
We have derived an expression for the physical mass and width of the ρ-meson in vacuum from its spectral function, calculated in the vector meson dominance model when a ρ 0 meson couples to two virtual pions π +–π −. The propagator is computed after evaluating the ρ-meson self-energy. The real part...
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| Formato: | Artículo |
| Lenguaje: | inglés |
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World Scientific Publishing Company
2005
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| Acceso en línea: | http://eprints.uanl.mx/8962/1/ALTERNATIVE%20CALCULATION%20OF%20THE%20PHYSICAL%20MASS%20OF.pdf |
| _version_ | 1824370881551400960 |
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| author | Morones Ramírez, Rubén Mejía Rosales, Sergio |
| author_facet | Morones Ramírez, Rubén Mejía Rosales, Sergio |
| author_sort | Morones Ramírez, Rubén |
| collection | Repositorio Institucional |
| description | We have derived an expression for the physical mass and width of the ρ-meson in vacuum from its spectral function, calculated in the vector meson dominance model when a ρ 0 meson couples to two virtual pions π +–π −. The propagator is computed after evaluating the ρ-meson self-energy. The real part of the ρ-meson self-energy is given by a divergent integral and needs to be regularized; the regularization is done by using a double subtracted dispersion relation. The result leads to a closed analytical expression which allow us to evaluate the spectral function in a closed way. The physical mass, defined as the magnitude of the four-momentum |k| for which the spectral function S(k 2 ) attains its maximum value, is obtained, and it gives a value of 770 MeV, which is in total agreement with the reported experimental value of the ρ-meson mass |
| format | Article |
| id | eprints-8962 |
| institution | UANL |
| language | English |
| publishDate | 2005 |
| publisher | World Scientific Publishing Company |
| record_format | eprints |
| spelling | eprints-89622016-02-05T21:42:02Z http://eprints.uanl.mx/8962/ Alternative calculation of the physical mass of the p-meson Morones Ramírez, Rubén Mejía Rosales, Sergio QC Física We have derived an expression for the physical mass and width of the ρ-meson in vacuum from its spectral function, calculated in the vector meson dominance model when a ρ 0 meson couples to two virtual pions π +–π −. The propagator is computed after evaluating the ρ-meson self-energy. The real part of the ρ-meson self-energy is given by a divergent integral and needs to be regularized; the regularization is done by using a double subtracted dispersion relation. The result leads to a closed analytical expression which allow us to evaluate the spectral function in a closed way. The physical mass, defined as the magnitude of the four-momentum |k| for which the spectral function S(k 2 ) attains its maximum value, is obtained, and it gives a value of 770 MeV, which is in total agreement with the reported experimental value of the ρ-meson mass World Scientific Publishing Company 2005 Article PeerReviewed text en cc_by_nc_nd http://eprints.uanl.mx/8962/1/ALTERNATIVE%20CALCULATION%20OF%20THE%20PHYSICAL%20MASS%20OF.pdf http://eprints.uanl.mx/8962/1.haspreviewThumbnailVersion/ALTERNATIVE%20CALCULATION%20OF%20THE%20PHYSICAL%20MASS%20OF.pdf Morones Ramírez, Rubén y Mejía Rosales, Sergio (2005) Alternative calculation of the physical mass of the p-meson. Modern Physics Letters A, 20 (1). pp. 61-67. ISSN 0217-7323 |
| spellingShingle | QC Física Morones Ramírez, Rubén Mejía Rosales, Sergio Alternative calculation of the physical mass of the p-meson |
| thumbnail | https://rediab.uanl.mx/themes/sandal5/images/online.png |
| title | Alternative calculation of the physical mass of the p-meson |
| title_full | Alternative calculation of the physical mass of the p-meson |
| title_fullStr | Alternative calculation of the physical mass of the p-meson |
| title_full_unstemmed | Alternative calculation of the physical mass of the p-meson |
| title_short | Alternative calculation of the physical mass of the p-meson |
| title_sort | alternative calculation of the physical mass of the p meson |
| topic | QC Física |
| url | http://eprints.uanl.mx/8962/1/ALTERNATIVE%20CALCULATION%20OF%20THE%20PHYSICAL%20MASS%20OF.pdf |
| work_keys_str_mv | AT moronesramirezruben alternativecalculationofthephysicalmassofthepmeson AT mejiarosalessergio alternativecalculationofthephysicalmassofthepmeson |