Rummukainen-Gottlieb formula on a two-particle system with different masses
A proposal by Luscher enables us to extract the elastic scattering phases from two-particle energy spectrum in a cubic box using lattice simulations. Rummukainen and Gottlieb further extend it to the moving frame, which is devoted to the system of two identical particles. In this work, we generalize...
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description | A proposal by Luscher enables us to extract the elastic scattering phases from two-particle energy spectrum in a cubic box using lattice simulations. Rummukainen and Gottlieb further extend it to the moving frame, which is devoted to the system of two identical particles. In this work, we generalize Rummukainen-Gottlieb's formula to the generic two-particle states where two particles are explicitly distinguishable, namely, the masses of the two particles are different. Their relations with the elastic scattering phases of two-particle energy spectrum in the continuum are obtained for both C sub(4)v and C sub(2)v symmetries. Our analytical results will be very helpful for the study of some resonances, such as kappa, vector kaon, and so on. |
doi_str_mv | 10.1103/PhysRevD.85.014506 |
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Rummukainen and Gottlieb further extend it to the moving frame, which is devoted to the system of two identical particles. In this work, we generalize Rummukainen-Gottlieb's formula to the generic two-particle states where two particles are explicitly distinguishable, namely, the masses of the two particles are different. Their relations with the elastic scattering phases of two-particle energy spectrum in the continuum are obtained for both C sub(4)v and C sub(2)v symmetries. Our analytical results will be very helpful for the study of some resonances, such as kappa, vector kaon, and so on.</description><identifier>ISSN: 1550-7998</identifier><identifier>EISSN: 1550-2368</identifier><identifier>EISSN: 1089-4918</identifier><identifier>DOI: 10.1103/PhysRevD.85.014506</identifier><language>eng</language><subject>Cosmology ; Elastic scattering ; Energy use ; Gravitation ; Kaons ; Mathematical analysis ; Phases ; Simulation ; Vectors (mathematics)</subject><ispartof>Physical Review D (Particles, Fields, Gravitation and Cosmology), 2012-01, Vol.85 (1), Article 014506</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c280t-76d68ce58bf6f2ca61d525eb79785b408a7d7b7dfe6ae70d592c8a908711a7f53</citedby><cites>FETCH-LOGICAL-c280t-76d68ce58bf6f2ca61d525eb79785b408a7d7b7dfe6ae70d592c8a908711a7f53</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,2876,2877,27924,27925</link.rule.ids></links><search><creatorcontrib>Fu, Ziwen</creatorcontrib><title>Rummukainen-Gottlieb formula on a two-particle system with different masses</title><title>Physical Review D (Particles, Fields, Gravitation and Cosmology)</title><description>A proposal by Luscher enables us to extract the elastic scattering phases from two-particle energy spectrum in a cubic box using lattice simulations. 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Our analytical results will be very helpful for the study of some resonances, such as kappa, vector kaon, and so on.</description><subject>Cosmology</subject><subject>Elastic scattering</subject><subject>Energy use</subject><subject>Gravitation</subject><subject>Kaons</subject><subject>Mathematical analysis</subject><subject>Phases</subject><subject>Simulation</subject><subject>Vectors (mathematics)</subject><issn>1550-7998</issn><issn>1550-2368</issn><issn>1089-4918</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><recordid>eNo1kL1OwzAYRS0EEqXwAkweWVJsp_7JiAoURCVQBbPlOJ9VQxwX26Hq2wMqTPcOR2c4CF1SMqOU1Ncvm31ew9ftTPEZoXNOxBGaUM5JxWqhjv--bBp1is5yfiekZkLKCXpajyGMH8YPMFTLWErvocUupjD2BscBG1x2sdqaVLztAed9LhDwzpcN7rxzkGAoOJicIZ-jE2f6DBd_O0Vv93evi4dq9bx8XNysKssUKZUUnVAWuGqdcMwaQTvOOLSykYq3c6KM7GQrOwfCgCQdb5hVpiFKUmqk4_UUXR282xQ_R8hFB58t9L0ZII5ZU6G4olQ07AdlB9SmmHMCp7fJB5P2mhL9W07_l9OK60O5-hsMY2R0</recordid><startdate>20120117</startdate><enddate>20120117</enddate><creator>Fu, Ziwen</creator><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20120117</creationdate><title>Rummukainen-Gottlieb formula on a two-particle system with different masses</title><author>Fu, Ziwen</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c280t-76d68ce58bf6f2ca61d525eb79785b408a7d7b7dfe6ae70d592c8a908711a7f53</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Cosmology</topic><topic>Elastic scattering</topic><topic>Energy use</topic><topic>Gravitation</topic><topic>Kaons</topic><topic>Mathematical analysis</topic><topic>Phases</topic><topic>Simulation</topic><topic>Vectors (mathematics)</topic><toplevel>online_resources</toplevel><creatorcontrib>Fu, Ziwen</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical Review D (Particles, Fields, Gravitation and Cosmology)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fu, Ziwen</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Rummukainen-Gottlieb formula on a two-particle system with different masses</atitle><jtitle>Physical Review D (Particles, Fields, Gravitation and Cosmology)</jtitle><date>2012-01-17</date><risdate>2012</risdate><volume>85</volume><issue>1</issue><artnum>014506</artnum><issn>1550-7998</issn><eissn>1550-2368</eissn><eissn>1089-4918</eissn><abstract>A proposal by Luscher enables us to extract the elastic scattering phases from two-particle energy spectrum in a cubic box using lattice simulations. Rummukainen and Gottlieb further extend it to the moving frame, which is devoted to the system of two identical particles. In this work, we generalize Rummukainen-Gottlieb's formula to the generic two-particle states where two particles are explicitly distinguishable, namely, the masses of the two particles are different. Their relations with the elastic scattering phases of two-particle energy spectrum in the continuum are obtained for both C sub(4)v and C sub(2)v symmetries. Our analytical results will be very helpful for the study of some resonances, such as kappa, vector kaon, and so on.</abstract><doi>10.1103/PhysRevD.85.014506</doi></addata></record> |
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source | American Physical Society Journals |
subjects | Cosmology Elastic scattering Energy use Gravitation Kaons Mathematical analysis Phases Simulation Vectors (mathematics) |
title | Rummukainen-Gottlieb formula on a two-particle system with different masses |
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