Legendre analysis of differential distributions in hadronic reactions

被引:3
作者
Azimov, Yakov I. [1 ]
Strakovsky, Igor I. [2 ]
Briscoe, William J. [2 ]
Workman, Ron L. [2 ]
机构
[1] Petersburg Nucl Phys Inst, NRC Kurchatov Inst, Gatchina 188300, Russia
[2] George Washington Univ, Washington, DC 20052 USA
基金
俄罗斯科学基金会;
关键词
D O I
10.1103/PhysRevC.95.025205
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
Modern experimental facilities have provided a tremendous volume of reaction data, often with wide energy and angular coverage, and with increasing precision. For reactions with two hadrons in the final state, these data are often presented as multiple sets of panels, with angular distributions at numerous specific energies. Such presentations have limited visual appeal, and their physical content is typically extracted through some model-dependent treatment. Instead, we explore the use of a Legendre series expansion with a relatively small number of essential coefficients. This approach has been applied in several recent experimental investigations. We present some general properties of the Legendre coefficients in the helicity framework and consider what physical information can be extracted without any model-dependent assumptions.
引用
收藏
页数:10
相关论文
共 12 条
[1]   Measurement of π0 photoproduction on the proton at MAMI C [J].
Adlarson, P. ;
Afzal, F. ;
Akondi, C. S. ;
Annand, J. R. M. ;
Arends, H. J. ;
Azimov, Ya. I. ;
Beck, R. ;
Borisov, N. ;
Braghieri, A. ;
Briscoe, W. J. ;
Cherepnya, S. ;
Cividini, F. ;
Collicott, C. ;
Costanza, S. ;
Denig, A. ;
Downie, E. J. ;
Dieterle, M. ;
Bondy, M. I. Ferretti ;
Fil'kov, L. V. ;
Fix, A. ;
Gardner, S. ;
Garni, S. ;
Glazier, D. I. ;
Glowa, D. ;
Gradl, W. ;
Gurevich, G. ;
Hamilton, D. J. ;
Hornidge, D. ;
Huber, G. M. ;
Kaeser, A. ;
Kashevarov, V. L. ;
Kay, S. ;
Keshelashvili, I. ;
Kondratiev, R. ;
Korolija, M. ;
Krusche, B. ;
Kulikov, V. V. ;
Lazarev, A. ;
Linturi, J. ;
Lisin, V. ;
Livingston, K. ;
MacGregor, I. J. D. ;
Manley, D. M. ;
Martel, P. P. ;
Martemianov, M. ;
McGeorge, J. C. ;
Meyer, W. ;
Middleton, D. G. ;
Miskimen, R. ;
Mushkarenkov, A. .
PHYSICAL REVIEW C, 2015, 92 (02)
[2]   Quantum interference of particles and resonances [J].
Azimov, Ya .
JOURNAL OF PHYSICS G-NUCLEAR AND PARTICLE PHYSICS, 2010, 37 (02)
[3]  
Azimov Ya. I., NUCL PH B S IN PRESS
[4]   RELATIVISTIC DISPERSION RELATION APPROACH TO PHOTOMESON PRODUCTION [J].
CHEW, GF ;
GOLDBERGER, ML ;
LOW, FE ;
NAMBU, Y .
PHYSICAL REVIEW, 1957, 106 (06) :1345-1355
[5]   Beam asymmetry Σ for π+ and π0 photoproduction on the proton for photon energies from 1.102 to 1.862 GeV [J].
Dugger, M. ;
Ritchie, B. G. ;
Collins, P. ;
Pasyuk, E. ;
Briscoe, W. J. ;
Strakovsky, I. I. ;
Workman, R. L. ;
Azimov, Y. ;
Adhikari, K. P. ;
Adikaram, D. ;
Aghasyan, M. ;
Amaryan, M. J. ;
Anderson, M. D. ;
Pereira, S. Anefalos ;
Avakian, H. ;
Ball, J. ;
Baltzell, N. A. ;
Battaglieri, M. ;
Batourine, V. ;
Bedlinskiy, I. ;
Biselli, A. S. ;
Boiarinov, S. ;
Burkert, V. D. ;
Carman, D. S. ;
Celentano, A. ;
Chandavar, S. ;
Cole, P. L. ;
Contalbrigo, M. ;
Cortes, O. ;
Crede, V. ;
D'Angelo, A. ;
Dashyan, N. ;
De Vita, R. ;
De Sanctis, E. ;
Deur, A. ;
Djalali, C. ;
Doughty, D. ;
Dupre, R. ;
Egiyan, H. ;
El Alaoui, A. ;
El Fassi, L. ;
Eugenio, P. ;
Fedotov, G. ;
Fegan, S. ;
Fleming, J. A. ;
Gevorgyan, N. ;
Gilfoyle, G. P. ;
Giovanetti, K. L. ;
Girod, F. X. ;
Goetz, J. T. .
PHYSICAL REVIEW C, 2013, 88 (06)
[6]   ON THE GENERAL THEORY OF COLLISIONS FOR PARTICLES WITH SPIN [J].
JACOB, M ;
WICK, GC .
ANNALS OF PHYSICS, 1959, 7 (04) :404-428
[7]   Spectral representation for u- and t-channel exchange processes in a partial-wave decomposition [J].
Lutz, M. F. M. ;
Kolomeitsev, E. E. ;
Korpa, C. L. .
PHYSICAL REVIEW D, 2015, 92 (01)
[8]   Experimental study of the γp → ηp reaction with the Crystal Ball detector at the Mainz Microtron (MAMI-C) [J].
McNicoll, E. F. ;
Prakhov, S. ;
Strakovsky, I. I. ;
Aguar-Bartolome, P. ;
Akasoy, L. K. ;
Annand, J. R. M. ;
Arends, H. J. ;
Arndt, R. A. ;
Azimov, Ya. I. ;
Bantawa, K. ;
Beck, R. ;
Bekrenev, V. S. ;
Berghaeuser, H. ;
Braghieri, A. ;
Branford, D. ;
Briscoe, W. J. ;
Brudvik, J. ;
Cherepnya, S. ;
Codling, R. F. B. ;
Demissie, B. T. ;
Downie, E. J. ;
Drexler, P. ;
Fil'kov, L. V. ;
Fix, A. ;
Freehart, B. ;
Glazier, D. I. ;
Gregor, R. ;
Hamilton, D. ;
Heid, E. ;
Hornidge, D. ;
Jaegle, I. ;
Jahn, O. ;
Jude, T. C. ;
Kashevarov, V. L. ;
Kellie, J. D. ;
Keshelashvili, I. ;
Kondratiev, R. ;
Korolija, M. ;
Kotulla, M. ;
Koulbardis, A. A. ;
Kruglov, S. P. ;
Krusche, B. ;
Lisin, V. ;
Livingston, K. ;
MacGregor, I. J. D. ;
Maghrbi, Y. ;
Manley, D. M. ;
Marinides, Z. ;
Martinez, M. ;
McGeorge, J. C. .
PHYSICAL REVIEW C, 2010, 82 (03)
[9]   REVIEW OF PARTICLE PHYSICS Particle Data Group [J].
Patrignani, C. ;
Agashe, K. ;
Aielli, G. ;
Amsler, C. ;
Antonelli, M. ;
Asner, D. M. ;
Baer, H. ;
Banerjee, Sw. ;
Barnett, R. M. ;
Basaglia, T. ;
Bauer, C. W. ;
Beatty, J. J. ;
Belousov, V. I. ;
Beringer, J. ;
Bethke, S. ;
Bichsel, H. ;
Biebel, O. ;
Blucher, E. ;
Brooijmans, G. ;
Buchmueller, O. ;
Burkert, V. ;
Bychkov, M. A. ;
Cahn, R. N. ;
Carena, M. ;
Ceccucci, A. ;
Cerri, A. ;
Chakraborty, D. ;
Chen, M. -C. ;
Chivukula, R. S. ;
Copic, K. ;
Cowan, G. ;
Dahl, O. ;
D'Ambrosio, G. ;
Damour, T. ;
de Florian, D. ;
de Gouvea, A. ;
DeGrand, T. ;
de Jong, P. ;
Dissertori, G. ;
Dobrescu, B. A. ;
D'Onofrio, M. ;
Doser, M. ;
Drees, M. ;
Dreiner, H. K. ;
Dwyer, D. A. ;
Eerola, P. ;
Eidelman, S. ;
Ellis, J. ;
Erler, J. ;
Ezhela, V. V. .
CHINESE PHYSICS C, 2016, 40 (10)
[10]   Kinematical constraints in fermion-antifermion systems [J].
Stoica, S. ;
Lutz, M. F. M. ;
Scholten, O. .
PHYSICAL REVIEW D, 2011, 84 (12)