Angular distribution in two-particle emission induced by neutrinos and electrons
The angular distribution of the phase space arising in two-particle emission reactions induced by electrons and neutrinos is computed in the laboratory (Lab) system by boosting the isotropic distribution in the center of mass (CM) system used in Monte Carlo generators. The Lab distribution has a sin...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/90298 https://orcid.org/0000-0002-3524-1432 |
| _version_ | 1826190791043710976 |
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| author | Simo, I. Ruiz Albertus, C. Amaro, J. E. Barbaro, M. B. Caballero, J. A. Donnelly, T William |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Simo, I. Ruiz Albertus, C. Amaro, J. E. Barbaro, M. B. Caballero, J. A. Donnelly, T William |
| author_sort | Simo, I. Ruiz |
| collection | MIT |
| description | The angular distribution of the phase space arising in two-particle emission reactions induced by electrons and neutrinos is computed in the laboratory (Lab) system by boosting the isotropic distribution in the center of mass (CM) system used in Monte Carlo generators. The Lab distribution has a singularity for some angular values, coming from the Jacobian of the angular transformation between CM and Lab systems. We recover the formula we obtained in a previous calculation for the Lab angular distribution. This is in accordance with the Monte Carlo method used to generate two-particle events for neutrino scattering [J. T. Sobczyk, Phys. Rev. C 86, 015504 (2012)]. Inversely, by performing the transformation to the CM system, it can be shown that the phase-space function, which is proportional to the two-particle-two-hole (2p-2h) hadronic tensor for a constant current operator, can be computed analytically in the frozen nucleon approximation, if Pauli blocking is absent. The results in the CM frame confirm our previous work done using an alternative approach in the Lab frame. The possibilities of using this method to compute the hadronic tensor by a boost to the CM system are analyzed. |
| first_indexed | 2024-09-23T08:45:44Z |
| format | Article |
| id | mit-1721.1/90298 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:45:44Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/902982023-02-26T11:39:47Z Angular distribution in two-particle emission induced by neutrinos and electrons Simo, I. Ruiz Albertus, C. Amaro, J. E. Barbaro, M. B. Caballero, J. A. Donnelly, T William Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Laboratory for Nuclear Science Donnelly, T. William The angular distribution of the phase space arising in two-particle emission reactions induced by electrons and neutrinos is computed in the laboratory (Lab) system by boosting the isotropic distribution in the center of mass (CM) system used in Monte Carlo generators. The Lab distribution has a singularity for some angular values, coming from the Jacobian of the angular transformation between CM and Lab systems. We recover the formula we obtained in a previous calculation for the Lab angular distribution. This is in accordance with the Monte Carlo method used to generate two-particle events for neutrino scattering [J. T. Sobczyk, Phys. Rev. C 86, 015504 (2012)]. Inversely, by performing the transformation to the CM system, it can be shown that the phase-space function, which is proportional to the two-particle-two-hole (2p-2h) hadronic tensor for a constant current operator, can be computed analytically in the frozen nucleon approximation, if Pauli blocking is absent. The results in the CM frame confirm our previous work done using an alternative approach in the Lab frame. The possibilities of using this method to compute the hadronic tensor by a boost to the CM system are analyzed. United States. Dept. of Energy (Cooperative Agreement DE-FC02-94ER40818) 2014-09-24T14:15:11Z 2014-09-24T14:15:11Z 2014-09 2014-07 2014-09-22T22:00:16Z Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/90298 Simo, I. Ruiz, C. Albertus, J. E. Amaro, M. B. Barbaro, J. A. Caballero, and T. W. Donnelly. "Angular distribution in two-particle emission induced by neutrinos and electrons." Phys. Rev. D 90, 053010 (September 2014). © 2014 American Physical Society https://orcid.org/0000-0002-3524-1432 en http://dx.doi.org/10.1103/PhysRevD.90.053010 Physical Review D 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 | Simo, I. Ruiz Albertus, C. Amaro, J. E. Barbaro, M. B. Caballero, J. A. Donnelly, T William Angular distribution in two-particle emission induced by neutrinos and electrons |
| title | Angular distribution in two-particle emission induced by neutrinos and electrons |
| title_full | Angular distribution in two-particle emission induced by neutrinos and electrons |
| title_fullStr | Angular distribution in two-particle emission induced by neutrinos and electrons |
| title_full_unstemmed | Angular distribution in two-particle emission induced by neutrinos and electrons |
| title_short | Angular distribution in two-particle emission induced by neutrinos and electrons |
| title_sort | angular distribution in two particle emission induced by neutrinos and electrons |
| url | http://hdl.handle.net/1721.1/90298 https://orcid.org/0000-0002-3524-1432 |
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