{"title":"介质修正Cornell势汤川项差分散射截面研究","authors":"Siddhartha Solanki, Manohar Lal, Vineet Kumar Agotiya","doi":"10.1155/2022/1456538","DOIUrl":null,"url":null,"abstract":"In the present work, we have studied the differential scattering cross-section for ground states of charmonium and bottomonium in the frame work of the medium-modified form of quark-antiquark potential and Born approximation using the nonrelativistic quantum chromodynamics approach. To reach this end, quasiparticle (QP) Debye mass depending upon baryonic chemical potential (<span><svg height=\"9.39034pt\" style=\"vertical-align:-3.42943pt\" version=\"1.1\" viewbox=\"-0.0498162 -5.96091 11.8797 9.39034\" width=\"11.8797pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,6.89,3.132)\"></path></g></svg>)</span> and temperature has been employed, and hence the variation of differential scattering cross-section with baryonic chemical potential and temperature at fixed value of the scattering angle (<svg height=\"9.49473pt\" style=\"vertical-align:-0.2063999pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 6.59789 9.49473\" width=\"6.59789pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g></svg>=<svg height=\"10.1628pt\" style=\"vertical-align:-0.2064095pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.95639 17.4724 10.1628\" width=\"17.4724pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"></path></g><g transform=\"matrix(.013,0,0,-0.013,6.241,0)\"></path></g><g transform=\"matrix(.0091,0,0,-0.0091,12.481,-5.741)\"></path></g></svg>) has been studied. The variation of differential scattering cross-section with scattering angle <svg height=\"9.49473pt\" style=\"vertical-align:-0.2063999pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.28833 6.59789 9.49473\" width=\"6.59789pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-230\"></use></g></svg> (in degree) at fixed temperature and baryonic chemical potential has also been studied. We have also studied the effect of impact parameter and transverse momentum on differential scattering cross-section at <span><svg height=\"10.1628pt\" style=\"vertical-align:-0.2064095pt\" version=\"1.1\" viewbox=\"-0.0498162 -9.95639 17.738 10.1628\" width=\"17.738pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,0,0)\"><use xlink:href=\"#g113-230\"></use></g><g transform=\"matrix(.013,0,0,-0.013,10.107,0)\"></path></g></svg><span></span><span><svg height=\"10.1628pt\" style=\"vertical-align:-0.2064095pt\" version=\"1.1\" viewbox=\"21.320183800000002 -9.95639 17.524 10.1628\" width=\"17.524pt\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\"><g transform=\"matrix(.013,0,0,-0.013,21.37,0)\"><use xlink:href=\"#g113-58\"></use></g><g transform=\"matrix(.013,0,0,-0.013,27.611,0)\"><use xlink:href=\"#g113-49\"></use></g><g transform=\"matrix(.0091,0,0,-0.0091,33.897,-5.741)\"><use xlink:href=\"#g50-112\"></use></g></svg>.</span></span>","PeriodicalId":7498,"journal":{"name":"Advances in High Energy Physics","volume":" 10","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2022-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Study of Differential Scattering Cross-Section Using Yukawa Term of Medium-Modified Cornell Potential\",\"authors\":\"Siddhartha Solanki, Manohar Lal, Vineet Kumar Agotiya\",\"doi\":\"10.1155/2022/1456538\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present work, we have studied the differential scattering cross-section for ground states of charmonium and bottomonium in the frame work of the medium-modified form of quark-antiquark potential and Born approximation using the nonrelativistic quantum chromodynamics approach. To reach this end, quasiparticle (QP) Debye mass depending upon baryonic chemical potential (<span><svg height=\\\"9.39034pt\\\" style=\\\"vertical-align:-3.42943pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -5.96091 11.8797 9.39034\\\" width=\\\"11.8797pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,6.89,3.132)\\\"></path></g></svg>)</span> and temperature has been employed, and hence the variation of differential scattering cross-section with baryonic chemical potential and temperature at fixed value of the scattering angle (<svg height=\\\"9.49473pt\\\" style=\\\"vertical-align:-0.2063999pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 6.59789 9.49473\\\" width=\\\"6.59789pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g></svg>=<svg height=\\\"10.1628pt\\\" style=\\\"vertical-align:-0.2064095pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.95639 17.4724 10.1628\\\" width=\\\"17.4724pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"></path></g><g transform=\\\"matrix(.013,0,0,-0.013,6.241,0)\\\"></path></g><g transform=\\\"matrix(.0091,0,0,-0.0091,12.481,-5.741)\\\"></path></g></svg>) has been studied. The variation of differential scattering cross-section with scattering angle <svg height=\\\"9.49473pt\\\" style=\\\"vertical-align:-0.2063999pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.28833 6.59789 9.49473\\\" width=\\\"6.59789pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-230\\\"></use></g></svg> (in degree) at fixed temperature and baryonic chemical potential has also been studied. We have also studied the effect of impact parameter and transverse momentum on differential scattering cross-section at <span><svg height=\\\"10.1628pt\\\" style=\\\"vertical-align:-0.2064095pt\\\" version=\\\"1.1\\\" viewbox=\\\"-0.0498162 -9.95639 17.738 10.1628\\\" width=\\\"17.738pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,0,0)\\\"><use xlink:href=\\\"#g113-230\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,10.107,0)\\\"></path></g></svg><span></span><span><svg height=\\\"10.1628pt\\\" style=\\\"vertical-align:-0.2064095pt\\\" version=\\\"1.1\\\" viewbox=\\\"21.320183800000002 -9.95639 17.524 10.1628\\\" width=\\\"17.524pt\\\" xmlns=\\\"http://www.w3.org/2000/svg\\\" xmlns:xlink=\\\"http://www.w3.org/1999/xlink\\\"><g transform=\\\"matrix(.013,0,0,-0.013,21.37,0)\\\"><use xlink:href=\\\"#g113-58\\\"></use></g><g transform=\\\"matrix(.013,0,0,-0.013,27.611,0)\\\"><use xlink:href=\\\"#g113-49\\\"></use></g><g transform=\\\"matrix(.0091,0,0,-0.0091,33.897,-5.741)\\\"><use xlink:href=\\\"#g50-112\\\"></use></g></svg>.</span></span>\",\"PeriodicalId\":7498,\"journal\":{\"name\":\"Advances in High Energy Physics\",\"volume\":\" 10\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2022-11-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in High Energy Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1155/2022/1456538\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, PARTICLES & FIELDS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advances in High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1155/2022/1456538","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
Study of Differential Scattering Cross-Section Using Yukawa Term of Medium-Modified Cornell Potential
In the present work, we have studied the differential scattering cross-section for ground states of charmonium and bottomonium in the frame work of the medium-modified form of quark-antiquark potential and Born approximation using the nonrelativistic quantum chromodynamics approach. To reach this end, quasiparticle (QP) Debye mass depending upon baryonic chemical potential () and temperature has been employed, and hence the variation of differential scattering cross-section with baryonic chemical potential and temperature at fixed value of the scattering angle (=) has been studied. The variation of differential scattering cross-section with scattering angle (in degree) at fixed temperature and baryonic chemical potential has also been studied. We have also studied the effect of impact parameter and transverse momentum on differential scattering cross-section at .
期刊介绍:
Advances in High Energy Physics publishes the results of theoretical and experimental research on the nature of, and interaction between, energy and matter. Considering both original research and focussed review articles, the journal welcomes submissions from small research groups and large consortia alike.