Abstract
The “screening and renormalization” approach allows for a mathematically correct incorporation, in three-body scattering theory, of the long-ranged Coulomb interaction between charged particles. It is based on first calculating the transition amplitudes using screened Coulomb potentials. Then, after renormalization the zero-screening limit, leading to the amplitudes pertaining to unscreened Coulomb potentials, is performed numerically. Within this formalism the proton-induced breakup of deuterons is investigated, with the Coulomb repulsion between the two protons taken into account. Kinematically complete differential cross sections in various kinematic configurations are calculated and compared with the results of an identical calculation but for the neutron-induced reaction. In this way information on the size of the Coulomb effects in the proton-deuteron reaction can be extracted. Comparison is made with experimental data at 13.0 MeV projectile energy. In addition, the quality of approximate ways of including the Coulomb interaction is studied.
Similar content being viewed by others
References
Faddeev, L. D.: Zh. Eksp. Teor. Fiz.39, 1459 (1960) [Sov. Phys.-JETP12, 1014 (1961)]
Aaron, R., Amado, R. D.: Phys. Rev.150, 857 (1966)
Glöckle, W., Witała, H., Cornelius, T.: Few-Body Systems3, 1 (1988)
Frank, T. N., Haberzettl, H., Januschke, T., Kerwath, U., Sandhas, W.: Phys. Rev.C38, 1112 (1988)
Witała, H., Glöckle, W., Cornelius, T.: Phys. Rev.C39, 384 (1989)
Glöckle, W., Witała, H., Cornelius, T.: Nucl. Phys.A508, 115c (1990)
Kröger, H.: J. Math. Phys.24, 1509 (1983)
Kröger, H., Nachabe, A. M., Slobodrian, R. J.: Phys. Rev.C32, 628 (1985)
Kröger, H., Nachabe, A. M., Slobodrian, R. J.: Phys. Rev.C33, 1208 (1986)
Rauprich, G., Lemaître, S., Niessen, P., Nyga, K. R., Reckenfelderbäumer, R., Sydow, L., Paetzgen. Schieck, H., Witała, H., Glöckle, W.: Nucl. Phys.A535, 313 (1991)
Strate, J., Geissdörfer, K., Lin, R., Bielmeier, W., Cub, J., Ebneth, A., Finckh, E., Friess, H., Fuchs, G., Gebhardt, K., Schindler, S.: Nucl. Phys.A501, 51 (1989)
Veselova, A. M.: Theor. Math. Phys.3, 542 (1970); Theor. Math. Phys.35, 395 (1978); in: Few-Particle Problems in Nuclear Physics, p. 326. Dubna 1980
Alt, E. O., Sandhas, W.: Phys. Rev.C18, 1088 (1980)
Merkuriev, S. P.: Ann. Phys. (NY)130, 395 (1980); Acta Phys. Austr. Suppl.XXIII, 65 (1981)
Alt, E. O., Mukhamedzhanov, A. M.: JETP Lett.56, 435 (1992); Phys. Rev.A47, 2004 (1993)
Kvitsinskii, A. A., Latypov, D. M.: Sov. J. Nucl. Phys.53, 953 (1991)
Kuperin, Yu. A., Merkuriev, S. P., Kvitsinskii, A. A.: Sov. J. Nucl. Phys.37, 857 (1983)
Alt, E. O., Sandhas, W., Ziegelmann, H.: Phys. Rev.C17, 1981 (1978)
Alt, E. O.: In: Few-Body Nuclear Physics (Pisent, G., Vanzani, V., Fonda, L., eds.), p. 271. Vienna: IAEA 1978
Alt, E. O.: In: Few-Particle Problems (Mitra, A. N., Šlaus, I., Bhasin, V. S., Gupta, V. K., eds.), p. 76. Amsterdam: North-Holland 1976
Alt, E. O., Sandhas, W., Zankel, H., Ziegelmann, H.: Phys. Rev. Lett.37, 1537 (1976)
Alt, E. O., Sandhas, W., Ziegelmann, H.: Nucl. Phys.A445, 429 (1985)
Berthold, G. H., Zankel, H.: Phys. Rev.C34, 1203 (1986)
Berthold, G. H., Stadler, A., Zankel, H.: Phys. Rev. Lett.61, 1077 (1988)
Berthold, G. H., Stadler, A., Zankel, H.: Phys. Rev.C41, 1365 (1990)
Alt, E. O., Rauh, M.: Few-Body Systems, Suppl.7, 160 (1994)
Alt, E. O., Rauh, M.: Phys. Rev.C49, R2285 (1994)
Alt, E. O., Grassberger, P., Sandhas, W.: Nucl. Phys.B2, 167 (1967)
Semon, E. D., Taylor, J. R.: Nuovo Cim.A26, 48 (1975)
Goodmanson, D. M., Taylor, J. R.: J. Math. Phys.21, 2202 (1980)
Gorshkov, V. G.: Sov. Phys.-JETP13, 1037 (1961)
Abramowitz, M., Stegun, I. A.: Handbook of Mathematical Functions. New York: Dover 1970
Brauner, M., Briggs, J. S., Klar, H.: J. Phys.B22, 2265 (1989)
Bajzer, Z.: Phys. Lett.84B, 289 (1979); Few-Body Systems2, 9 (1987)
Ohlsen, G. G.: Nucl. Instr. and Meth.37, 240 (1965)
Kok, L. P., van Haeringen, H.: Phys. Rev.C21, 512 (1980)
Kok, L. P., van Haeringen, H.: Czech. J. Phys.B32, 311 (1982)
Allet, M., Bodek, K., Hajdas, W., Jarczyk, L., Kystrin, St., Lang, J., Müller, R., Navert, S., Naviliat-Cuncic, O., Smyrski, J., Sromicki, J., Strzałkowski, A., Zejma, J.: Helv. Phys. Acta66, 437 (1993)
Dechant, B.: Thesis. Bochum: Ruhr-Universität 1992
Witała, H., Cornelius, T., Glöckle, W.: Few-Body Systems5, 89 (1988)
Klein, H., Eichner, H., Helten, H. J., Kretzer, H., Prescher, K., Stehle, H., Wohlfarth, W. W.: Nucl. Phys.A199, 169 (1973)
Karus, M., Buballa, M., Helten, J., Laumann, B., Melzer, R., Niessen, P., Oswald, H., Rauprich, G., Schulte-Uebbing, J., Paetz gen. Schieck, H.: Phys. Rev.C31, 1112 (1985)
Erdelyi, A., Magnus, W., Oberhettinger, F., Tricomi, F. G.: Higher Transcendental Functions, Vol. 1. New York: McGraw-Hill 1953
Lewis Jr., R. R.: Phys. Rev.102, 537 (1956)
Magnus, W., Oberhettinger, F., Soni, R. P.: Formulas and Theorems for the Special Functions of Mathematical Physics. New York-Berlin-Heidelberg: Springer 1966
Author information
Authors and Affiliations
Additional information
Dedicated to Prof. Werner Sandhas on the occasion of his 60th birthday
Rights and permissions
About this article
Cite this article
Alt, E.O., Rauh, M. Proton-induced deuteron breakup reaction2H(p, pp)n . Few-Body Systems 17, 121–162 (1994). https://doi.org/10.1007/BF01074449
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF01074449