Beyond integrability: Baryon-baryon backward scattering in the massive Gross-Neveu model
Due to integrability, baryon-baryon scattering in the massless Gross-Neveu model at large N features only forward elastic scattering. A bare mass term breaks integrability and is therefore expected to induce backward elastic scattering as well as inelastic reactions. We confirm these expectations by...
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| Veröffentlicht in: | Physical review. D 2017-10, Vol.96 (7), p.076012, Article 076012 |
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| container_title | Physical review. D |
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| creator | Thies, Michael |
| description | Due to integrability, baryon-baryon scattering in the massless Gross-Neveu model at large N features only forward elastic scattering. A bare mass term breaks integrability and is therefore expected to induce backward elastic scattering as well as inelastic reactions. We confirm these expectations by a study of baryon-baryon scattering in the massive Gross-Neveu model near the nonrelativistic limit. This restriction enables us to solve the time-dependent Hartree-Fock equations with controlled approximations, using a combination of analytical methods from an effective field theory and the numerical solution of partial differential equations. |
| doi_str_mv | 10.1103/PhysRevD.96.076012 |
| format | Article |
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A bare mass term breaks integrability and is therefore expected to induce backward elastic scattering as well as inelastic reactions. We confirm these expectations by a study of baryon-baryon scattering in the massive Gross-Neveu model near the nonrelativistic limit. This restriction enables us to solve the time-dependent Hartree-Fock equations with controlled approximations, using a combination of analytical methods from an effective field theory and the numerical solution of partial differential equations.</description><identifier>ISSN: 2470-0010</identifier><identifier>EISSN: 2470-0029</identifier><identifier>DOI: 10.1103/PhysRevD.96.076012</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Approximation ; Baryons ; Elastic scattering ; Field theory ; Inelastic scattering ; Mathematical models ; Partial differential equations ; Time dependence</subject><ispartof>Physical review. 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A bare mass term breaks integrability and is therefore expected to induce backward elastic scattering as well as inelastic reactions. We confirm these expectations by a study of baryon-baryon scattering in the massive Gross-Neveu model near the nonrelativistic limit. This restriction enables us to solve the time-dependent Hartree-Fock equations with controlled approximations, using a combination of analytical methods from an effective field theory and the numerical solution of partial differential equations.</description><subject>Approximation</subject><subject>Baryons</subject><subject>Elastic scattering</subject><subject>Field theory</subject><subject>Inelastic scattering</subject><subject>Mathematical models</subject><subject>Partial differential equations</subject><subject>Time dependence</subject><issn>2470-0010</issn><issn>2470-0029</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNo9UE1PAjEUbIwmEuQPeGriefH1g3brTVDRhKgxmnhrut0uLMIutl0M_94i6mkm7828j0HonMCQEGCXz4tdeHHbm6ESQ5ACCD1CPcolZABUHf9zAqdoEMISEhWgJCE99D52u7Ypcd1EN_emqFd13F3hsfGpnBU_gAtjP76ML3GwJkbn62aeDDguHF6bEOqtw1PfhpA9uq3r8Lot3eoMnVRmFdzgF_vo7e72dXKfzZ6mD5PrWWYZ5TEbKUIpy13JzUioihGeyzKnnAueAwgliM2rUWm45NIWzlILqVcJCwaSpWJ9dHGYu_HtZ-dC1Mu2801aqSmhTIISXCYVPajs_k7vKr3x9Tp9pwnofYj6L0SthD6EyL4Blx1mJg</recordid><startdate>20171023</startdate><enddate>20171023</enddate><creator>Thies, Michael</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20171023</creationdate><title>Beyond integrability: Baryon-baryon backward scattering in the massive Gross-Neveu model</title><author>Thies, Michael</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c324t-5912238ed4a569f31487d8244648006961c8f5da4747cbec2c0446f6c0a04a5f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Approximation</topic><topic>Baryons</topic><topic>Elastic scattering</topic><topic>Field theory</topic><topic>Inelastic scattering</topic><topic>Mathematical models</topic><topic>Partial differential equations</topic><topic>Time dependence</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Thies, Michael</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</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Thies, Michael</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Beyond integrability: Baryon-baryon backward scattering in the massive Gross-Neveu model</atitle><jtitle>Physical review. D</jtitle><date>2017-10-23</date><risdate>2017</risdate><volume>96</volume><issue>7</issue><spage>076012</spage><pages>076012-</pages><artnum>076012</artnum><issn>2470-0010</issn><eissn>2470-0029</eissn><abstract>Due to integrability, baryon-baryon scattering in the massless Gross-Neveu model at large N features only forward elastic scattering. A bare mass term breaks integrability and is therefore expected to induce backward elastic scattering as well as inelastic reactions. We confirm these expectations by a study of baryon-baryon scattering in the massive Gross-Neveu model near the nonrelativistic limit. This restriction enables us to solve the time-dependent Hartree-Fock equations with controlled approximations, using a combination of analytical methods from an effective field theory and the numerical solution of partial differential equations.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevD.96.076012</doi></addata></record> |
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| source | American Physical Society Journals |
| subjects | Approximation Baryons Elastic scattering Field theory Inelastic scattering Mathematical models Partial differential equations Time dependence |
| title | Beyond integrability: Baryon-baryon backward scattering in the massive Gross-Neveu model |
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