Total cross section of the reaction γd → π–pp in the threshold energy region
https://doi.org/10.29235/1561-8323-2020-64-2-159-163
Abstract
In the framework of the diagrammatic approach, the total cross section of near-threshold π– photoproduction on the deuteron is calculated. Contributions of the diagrams corresponding to the plane wave impulse approximation as well as to NN- and πN-interactions in the final state have been taken into account. We have compared the theoretical predictions with the results of the recent measurements performed at the MAX IV laboratory of the Lund University. There is good agreement with the data at photon energies from 147 to 155 MeV. However, at 158 and 160 MeV, the theoretical predictions significantly overestimate the measured cross sections.
Keywords
About the Authors
E. S. KokoulinaRussian Federation
Kokoulina Elena S. – D. Sc. (Physics and Mathematics), Assistant Professor, Head of the Sector.
LHEP JINR, 141980, Dubna
M. I. Levchuk
Belarus
Levchuk Michael I. – D. Sc. (Physics and Mathematics), Chief researcher.
68-2, Nezavisimosti Ave., 220072, Minsk
M. N. Nevmerzhitsky
Belarus
Nevmerzhitsky Maxim N. – Researcher.
16, Akademicheskaya Str., 220072, Minsk
R. G. Shulyakovsky
Belarus
Shulyakovsky Roman G. – Ph. D. (Physics and Mathematics), Assistant Professor, Director.
16, Akademicheskaya Str., 220072, Minsk
References
1. Laget J. M. Pion photoproduction on few body systems. Physics Reports, 1981, vol. 69, no. 1, pp. 1–84. https://doi.org/10.1016/0370-1573(81)90164-2
2. Krusche B., Ahrens J., Beck R., Fuchs M., Hall S. J., Härter F., Kellie J. D., Metag V., Röbig-Landau M., Ströher H. Single and double π 0 photoproduction from the deuteron. European Physical Journal A, 1999, vol. 6, no. 3, pp. 309–324. https://doi.org/10.1007/s100500050349
3. Siodlaczek U., Achenbach P., Ahrens J., Annand J. R. M., Arends H.-J., Beck R., Bilger R., Clement H., Hejny V., Kotulla M., Krusche B., Kuhr V., Leukel R., McGeorge J. C., Metag V., Novotny R., Olmos de León V., Rambo F., Schepkin M., Schmidt A., Seluzhenkov I., Ströher H., Wagner G. J., Walcher Th., Weiß J., Wissmann F., Wolf M. Coherent and incoherent π 0 photoproduction from the deuteron. European Physical Journal A, 2001, vol. 10, no. 3, pp. 365–371. https://doi.org/10.1007/s100500170120
4. Levchuk M. I., Loginov A. Yu., Sidorov A. A., Stibunov V. N., Schumacher M. Incoherent pion photoproduction on the deuteron in the first resonance region. Physical Review C, 2006, vol. 74, no. 1, art. 014004(20). https://doi.org/10.1103/physrevc.74.014004
5. Booth E. C., Chasan B., Commuzzi J., Bosted P. 2 H(γ, π + )nn total cross section from threshold to ΔE = 22 MeV. Physics Review C, 1979, vol. 20, no. 4, pp. 1217–1220. https://doi.org/10.1103/physrevc.20.1217
6. Strandberg B., Fissum K. G., Annand J. R. M., Briscoe W. J., Brudvik J., Cividini F., Clark L., Downie E. J., England K., Feldman G., Glazier D. I., Hamilton K., Hansen K., Isaksson L., Al Jebali R., Kovash M. A., Kudryavtsev A. E., Lensky V., Lipschutz S., Lundin M., Meshkian M., Middleton D. G., Myers L. S., O’Donnell D., O’Rielly G. V., Oussena B., Preston M. F., Schröder B., Seitz B., Strakovsky I. I., Taragin M., Tarasov V. E. Near-threshold π – photoproduction on the deuteron. Available at: https://arxiv.org/abs/1812.03023 (accessed 14 November 2019).
7. Tarasov V. E., Briscoe W. J., Gao H., Kudryavtsev A. E., Strakovsky I. I. Extracting the photoproduction cross sections off the neutron, via the γn → π – p reaction, from deuteron data with final-state interaction effects. Physical Review C, 2011, vol. 84, no. 3, art. 035203(14). https://doi.org/10.1103/physrevc.84.035203
8. Levchuk M. I. Helicity-dependent reaction d NN g → pNN and its contribution to the Gerasimov–Drell–Hearn sum rule for the deuteron. Physical Review C, 2010, vol. 82, no. 4, art. 044002(13). https://doi.org/10.1103/physrevc.82.044002
9. Machleidt R. High-precision, charge-dependent Bonn nucleon-nucleon potential. Physal Review C, 2001, vol. 63, no. 2, art. 024001(32). https://doi.org/10.1103/physrevc.63.024001
10. Drechsel D., Hanstein O., Kamalov S. S., Tiator L. A unitary isobar model for pion photo- and electroproduction on the proton up to 1 GeV. Nuclear Physics A, 1999, vol. 645, no. 1, pp. 145–174. https://doi.org/10.1016/s0375-9474(98)00572-7
11. Nozawa S., Blankleider B., Lee T. S. H. A dynamical model of pion photoproduction on the nucleon. Nuclear Physics A, 1990, vol. 513, no. 3–4, pp. 459–510. https://doi.org/10.1016/0375-9474(90)90395-3
12. Workman R. L., Arndt R. A., Briscoe W. J., Paris M. W., Strakovsky I. I. Parametrization dependence of T-matrix poles and eigenphases from a fit to πN elastic scattering data. Physical Review C, 2012, vol. 86, no. 3, art. 035202(6). https://doi.org/10.1103/physrevc.86.035202
13. Darwish E. M., Almarashi M. M., Mahrous E. M., Hassanain M. A., Saleh Yousef M. Near-threshold incoherent pion photoproduction on the deuteron with final-state interaction effects. Annals of Physics, 2019. vol. 411, art. 167990(26). https://doi.org/10.1016/j.aop.2019.167990