- Access by Xinjiang University
The Eigenchannel Method and Related Theories for Nuclear Reactions
Rev. Mod. Phys. 45, 44 – Published 1 January, 1973
DOI: https://doi.org/10.1103/RevModPhys.45.44
Abstract
The theory of the treatment of particle hole states in the continuum is reviewed with emphasis on the eigenchannel method. The results of actual calculations are compared with experimental data. Some aspects of the experiments are rather well reproduced by the calculations. However, in certain other aspects a qualitative disagreement exists between theory and experiment, pointing to an essential inadequacy of the underlying nuclear model.
References (209)
- Ajzenberg-Selove, F., and T. Lauritsen, 1959, Nucl. Phys. 11, 1
- Allas, R. G., S. S. Hanna, L. Meyer-Schützmeister, and R. E. Segal, 1964, Nucl. Phys. 58, 122
- Arenhövel, H., and W. Greiner, 1969, Prog. in Nucl. Phys. 10, 167
- P. Antony-Spies, P. P. Delsanto, E. Spamer, A. Goldmann, and O. Titze (1970). Phys. Letters 31B, 632
- P. Antony-SpiesP. P. DelsantoE. SpamerA. GoldmannO. Titze, 1972, Nucl. Phys. A188, 641
- Baglin, J. E. E., and B. M. Spicer, 1964, Nucl. Phys. 54, 549
- Baglin, J. E. E.B. M. Spicer, and M. N. Thompson, 1969, Nucl. Phys. A138, 73
- Balashov, V. V., P. Doleshal, V. L. Korotkih, and V. N. Fetisov, 1965a, Sov. J. Nucl. Phys. 2, 461
- Balashov, V. V.P. DoleshalV. L. KorotkihV. N. Fetisov, D. Pal, and V. N. Fetisov, 1965b, Phys. Letters 17, 290
- Balashov, V. V.P. DoleshalV. L. KorotkihV. N. FetisovD. PalV. N. Fetisov, V. G. Shevchenko, and N. P. Yudin, 1961, Nucl. Phys. 27, 323
- Barber, W. C., J. Goldemberg, G. A. Peterson, and Y. Torizuka, 1963, Nucl. Phys. 41, 461
- Bardsley, J. N., and F. Mandl, 1968, Rep. Prog. Phys. XXXI, Part 2
- Barker, F. C., and A. K. Mann, 1957, Phil. Mag. 2, 5
- Barett, A. R., and G. C. Thomas, 1964, Comptes Rendus Congres International de Physique Nucleaire, II, edited by P. Gungenberger (Centre National de Recherche Scientifique, Paris), 387
- Barrett, R. F., and P. P. Delsanto, 1971, Nucl. Phys. A173, 641
- Bartko, J., and T. T. Thwaites, 1968, Phys. Letters 27B, 212
- Beil, H. R. Bergère, P. Carlos, and A. Veyssière, 1969, Compt. Rend. 269, 216
- Bishop, G. R., and D. B. Isabelle, 1962, Phys. Letters 1, 323
- Biedenharn, L. C., E. Baumgartner, P. Huber, and H. B. Willard, 1963, in Fast Neutron Physics, edited by J. B. Marion and J. L. Fowler, (Wiley-Interscience, New York), Chap. V.E
- Black, J. L., W. J. O'Connell, S. S. Hanna, and G. L. Latshaw, 1967, Phys. Letters 25B, 405
- Blatt, J., and L. C. Beidenharn, 1952, Rev. Mod. Phys. 24, 258
- Bloch, C., 1957, Nucl. Phys. 4, 503
- Bloch, C., 1966, "An Introduction to the Many-Body Theory of Nuclear Reactions", in Proc. of the International School of Physics, Enrico Fermi, Course XXXVI, (Academic, New York)
- Bloch, C., and V. Gillet, 1965, Phys. Letters 16, 62
- Bock, R., H. H. Duhm, and R. Stock, 1965, Phys. Letters 18, 61
- Boeker, E., 1966, Physica 32, 669
- Boeker, E., W. M. DeMuiguck, and C. C. Jouher, 1964, Congres International de Physique Nucleaire, Paris, II, 405
- Bohr, A., J. Damgaard, and B. R. Mottelson, 1967, in Nuclear Structure edited by A. Hossian (North-Holland Publ. Co., Amsterdam)
- Brenig, W., and R. Haag, 1959, Fortschritte der Physik 7, No. 4/5, 183, Sec. 4 translation in Quantum Scattering Theory, edited by Marc Ross (Indiana U. P., Bloomington, 1963)
- Brink, D. M., 1957, Nucl. Phys. 4, 214
- Brown, G. E., 1966, The Unified Theory of Nuclear Models, (North-Holland Publ. Co., Amsterdam), 2nd ed
- Brown, G. E., L. Castillejo, and J. A. Evans, 1961, Nucl. Phys. 22, 1
- Buck, B., and A. D. Hill, 1967, Nucl. Phys. A95, 271
- Bur, G. A., T. E. Drake, R. M. Hutcheon, V. W. Stobie, and H. S. Caplan, 1968, Nuovo Cimento 53B, 7
- Burgov, N. A., G. V. Danilyau, B. S. Dolbilkin, L. E. Lazareva, and F. A. Nikolaev, 1963, Zh. Eksp. Teor. Fiz. ibid.16, 50
- Buttle, J. P. A., 1967, Phys. Rev. 160, 719
- Caldwell, J. T., 1967, Ph.D. Thesis, University of California, Livermore, unpublished
- Caldwell, J. T., R. L. Bramblett, B. L. Berman, R. R. Harvey, and S. C. Fultz, 1965, Phys. Rev. Letters 15, 976
- Caldwell, J. T.R. L. BramblettB. L. BermanR. R. HarveyS. C. Fultz, S. C. Fultz, and R. L. Bramblett, 1967, Phys. Rev. Letters 19, 447
- Cline, D., W. P. Alford, and L. M. Blau, 1965, Nucl. Phys. 73, 33
- Cook, B. C., J. E. E. Baglin, J. N. Bredford, and J. E. Griffln, 1966, Phys. Rev. 143, 724
- Crannel, H., H. A. Dahl, and F. H. Lewis, Jr., 1967, Phys. Rev. 155, 1062
- Danos, M., 1958, Nucl. Phys. 5, 23
- Danos, M., 1961, Photonuclear Physics Lectures, University of Maryland, unpublished
- Danos, M., 1967, Lectures delivered at Les Houches during the 1968 session of the Summer School of Theoretical Physics; edited by C. DeWitt and V. Gillet (Gordon and Breach, New York)
- Danos, M., and E. G. Fuller, 1965, Ann. Rev. Nucl. Sci. 15, 29
- Danos, M.E. G. Fuller, and V. Gillet, 1971, Phys. Letters 34B, 24
- Danos, M.E. G. FullerV. Gillet, and W. Greiner, 1964, Phys. Rev. 134, B284
- Danos, M.E. G. FullerV. GilletW. Greiner, and W. Greiner, 1965, Phys. Rev. 138, B93
- Danos, M.E. G. FullerV. GilletW. GreinerW. Greiner, and W. Greiner, 1966, Phys. Rev. 146, 708
- Danos, M.E. G. FullerV. GilletW. GreinerW. GreinerW. Greiner, and W. Greiner, 1967, Z. Phys. 202, 125
- de Alfaro, V., and T. Regge, 1965, Potential Scattering (North-Holland Publ. Co., Amsterdam)
- de Forest, T., Jr., 1965, Phys. Rev. 139, B1217
- de Forest, T., Jr., and J. D. Walecka, 1966, Advan. Phys. 15, 1
- Delsanto, P., M. F. Roetter, and H. G. Wahsweiler, 1969, Z. Physik 222, 67
- Delsanto, P.M. F. RoetterH. G. Wahsweiler, and H. G. Wahsweiler, University of Frankfurt, 1970, unpublished results
- Delsanto, P.M. F. RoetterH. G. WahsweilerH. G. Wahsweiler, H. G. Wahsweiler, and R. F. Barrett, 1970, University of Frankfurt, unpublished results
- Delsanto, P.M. F. RoetterH. G. WahsweilerH. G. WahsweilerH. G. WahsweilerR. F. Barrett, H. Wahsweiler and W. Greiner, 1967, Phys. Rev. Letters 19, 706
- Denisov, V. P., A. P. Komar, and L. A. Kulchilsky, 1968, Nucl. Phys. A113, 289
- Dietrich, K., 1967, "Shell-Model Description of Nuclear Reactions", in Fundamentals in Nuclear Theory, Lectures presented at Trieste, 1966 (International Atomic Energy Agency, Vienna)
- Dietrich, K., and K. Hara, 1968, Nucl. Phys. A111, 392
- Dirac, P. A. M., 1927, Z. Physik 44, 585
- Divadeenam, M., 1969, unpublished results
- Dodge, W. R., and W. C. Barber, 1962a, Phys. Rev. 127, 1146
- Dodge, W. R.W. C. Barber, and W. C. Barber, 1962b, Phys. Rev. 127, 1745
- Dolbilkin, B. S., V. I. Korin, L. E. Lazareva, and F. A. Nikolaev, 1968, Phys. Letters 17, 49
- Donnelly, T. W., J. D. Walecka, I. Sick, and E. B. Hughes, 1968, Phys. Rev. Letters 21, 1196
- Drechsel, D., J. B. Seaborn, and W. Greiner, 1967, Phys. Rev. 162, 983
- Earle, E. D., and N. W. Tanner, 1967, Nucl. Phys. A95, 241
- Ebenhöh, W., W. Glöckle, and J. Hüfner, 1967a, Phys. Letters 24, 361
- Ebenhöh, W.W. GlöckleJ. Hüfner, W. Glöckle, J. Hüfner, and H. A. Weidenmüller, 1967b, Z. Phys. 202, 302
- Eichler, J., 1964, Nucl. Phys. 56, 577
- Elliott, J. P., and B. H. Flowers, 1957, Proc. Royal Soc. A242, 57
- Elton, L. R. B., 1961, Nuclear Sizes, Oxford Library of the Physical Sciences (Oxford U.P., London)
- Endt, P. M., and C. van der Leun, 1967, Nucl. Phys. A105, 1
- Fallerios, S., Thesis, Univ. of Maryland, Tech. Rept. No. 195
- Fano, U., 1935, Nuovo Cimento 12, 156
- Fano, U., 1961, Phys. Rev. 124, 1866-1878
- Feldman, L., B. B. Baliga, and M. Nessin, 1967, Phys. Rev. 157, 921
- Feldman, L.B. B. BaligaM. Nessin, M. Suffert, and S. S. Hanna, 1968, Bull. Am. Phys. Soc. 13, 822
- Feshbach, H., 1958, Ann. Phys. (New York), 5, 357
- Feshbach, H., 1960, in Nuclear Spectroscopy edited by F. Ajzenberg-Selove, (Academic, New York), Chap. 5, Part B
- Feshbach, H., 1962, Ann. Phys. (New York), 19, 287 (1962)
- Feshbach, H., A. Kerman, and R. H. Lemmer, 1967, Ann. Phys. (New York) 41, 230
- Finckh, E., and U. Hegel, 1961, Z. Physik 162, 154
- Firk, F. W. K., 1970, Ann. Rev. Nucl. Sci. 20, 39
- Firk, F. W. K., K. H. Lokan, and E. M. Bowey, 1962, in "Proceedings of the Conference on Direct Interactions and Nuclear Reaction Mechanism, Padua," edited by E. Clementel and C. Villi (Gordon and Breach, New York)
- Firk, F. W. K.K. H. LokanE. M. Bowey, and E. R. Rae, private communication Feldman, et al., 1967
- Frederick, D. E., and A. D. Sherik, 1968, Phys. Rev. 176, 1177
- Friar, J. L., 1966, Nucl. Phys. 84, 150
- Friedman, W. A., and H. Feshbach, 1968, in Spectroscopic and Group Theoretical Methods in Physics (North-Holland Publ. Co., Amsterdam)
- Friedrichs, K. O., 1948, Comm. Pure and Appl. Math. 1, 361-406
- Frosch, R. F., R. Hofstadter, J. S. McCarthy, G. K. Nöldecke, K. J. van Oostrum, M. R. Yearian, B. C. Clark, R. Herman, and D. G. Ravenhall, 1968, Phys. Rev. 174, 1380
- Fultz, S. C., J. T. Caldwell, B. L. Berman, R. L. Bramblett, and R. R. Harvey, 1966, Phys. Rev. 143, 790
- Gallagher, D. F., and L. Wilets, 1968, Phys. Rev. 169, 139
- Garside, L., and W. Tobocman, 1968, Phys. Rev. 173, 1047
- Gillet, V., and C. Bloch, 1965, Phys. Letters 18, 58
- Gillet, V.C. Bloch, M. A. Melkanoff, and J. Raynal, 1967, Nucl. Phys. A97, 631
- Gillet, V.C. BlochM. A. MelkanoffJ. Raynal, and E. A. Sanderson, 1967, Nucl. Phys. A91, 292
- Gillet, V.C. BlochM. A. MelkanoffJ. RaynalE. A. Sanderson, and N. Vinh-Mau, 1964, Nucl. Phys. 54, 321
- Glashausser, C., M. Kondo, M. E. Rickey, and E. Rost, 1965, Phys. Letters 14, 113
- Glöckle, W., J. Hüfner, and H. A. Weidenmüller, 1967, Nucl. Phys. A90, 481
- Goldemberg, J., and W. C. Barber, 1964, Phys. Rev. 134, B963
- Goldhaber, M. and E. Teller, 1948, Phys. Rev. 74, 1046
- Goldmann, A., and E. Spamer, 1970, unpublished results
- Grauel, A., 1971, Ph.D. Thesis, University of Frankfurt
- Greiner, W., 1963, Nucl. Phys. 49, 522
- Hafele, J. C., F. W. Bingham, and J. S. Allen, 1964, Phys. Rev. 135, B365
- Hahne, F. J. W., and C. B. Dover, 1969, Nucl. Phys. 135A, 65
- Hayward, E., 1964, "Nuclear Structure and Electromagnetic Interactions," edited by N. MacDonald (Oliver and Boyd, London) (Scottish University Summer School, Edinburgh, London, 1964) E. Hayward Proc. International School of Physics, Varenna, Course 36, page 559
- Hebbard, D. F., 1960, Nucl. Phys. 15, 289
- Herzenberg, A., K. L. Kwok, and F. Mandl, 1964, Proc. Phys. Soc. 84, 477
- Herzenberg, A.K. L. KwokF. Mandl, and F. Mandl, 1963, Proc. Roy. Soc. A274, 253 Phys. Letters 6, 288
- Hiebert, J. C., E. Newman, and R. H. Bassel, 1967, Phys. Rev. 154, 898
- Hinds, S., and R. Middleton, 1966, Nucl. Phys. 84, 651
- Hüfner, J., C. Mahaux, and H. A. Weidenmüller, 1967, Nucl. Phys. A105, 489
- Ince, E. L., 1927, "Ordinary Differential Equations" (Longmans-Green, London), Chap. 10
- Jensen, J. H. D., and P. Jensen, 1950, Z. Naturforsch 5a, 343
- Johansson, S. A. E., and B. Forkman, 1962, Nucl. Phys. 36, 141
- Johns, K. W., L. J. Lidofsky, and J. L. Weil, 1958, Phys. Rev. 112, 1252
- Kabachnik, N. M., V. L. Korotkih, and H. J. Unger, 1967, Nucl. Phys. A103, 450
- Kamimura, M., K. Ikeda, and A. Arima, 1967, Nucl. Phys. A95, 129
- Kapur, P. L., and R. E. Peierls, 1938, Proc. Roy. Soc. (London) A166, 277
- Kerman, A. K., 1965, in "Lectures in Theoretical Physics" (Univ. of Colorado Press, Boulder, Colorado)
- Kerman, A. K., and L. Kisslinger, 1969, Phys. Rev. 180, 1483
- Kuo, T. T. S., J. Blomqvist, and G. E. Brown, 1970, Phys. Letters 31B, 93
- Lane, A. M., and D. Robson, 1966, Phys. Rev. 151, 774
- Lane, A. M.D. Robson, and D. Robson, 1967, Phys. Rev. 151, 774
- Lane, A. M.D. RobsonD. Robson, and D. Robson, 1969, Phys. Rev. 178, 1715
- Lane, A. M.D. RobsonD. RobsonD. Robson, and R. G. Thomas, 1958, Rev. Mod. Phys. 30, 257
- Larson, J. D., and R. H. Spear, 1964, Nucl. Phys. 56, 497
- Lemmer, R. H., and C. M. Shakin, 1964, Ann. Phys. (New York) 27, 13
- Lemmer, R. H.C. M. Shakin, and M. Veneroni, 1968, Phys. Rev. 170, 883
- Le Tourneux, J., 1965, Kgl. Danske Videnskap. Selskap. Mat. Fys. Medd. 34, 11
- Lewis, M. B., N. R. Roberson, and D. R. Tilley, 1968, Phys. Rev. 168, 1205
- Lewis, F. H., Jr., and J. D. Walecka, 1964, Phys. Rev. 133, B849
- Lochstet, W. A., and E. Stephens, 1966, Phys. Rev. 141, 1002
- MacDonald, W. M., 1964, Nucl. Phys. 54, 393 ibid.56, 636
- Mahaux, C., and H. A. Weidenmüller, 1965, Ann. Phys. (New York) 32, 259
- Mahaux, C.H. A. Weidenmüller, and H. A. Weidenmuller, 1967, Nucl. Phys. A91, 241 ibid.A94, 1 ibid.A97, 378
- Mahaux, C.H. A. WeidenmüllerH. A. Weidenmuller, and H. A. Weidenmüller, 1968, Phys. Rev. 170, 847
- Mahaux, C.H. A. WeidenmüllerH. A. WeidenmullerH. A. Weidenmüller, and H. A. Weidenmüller, 1969, Shell Model Approach to Nuclear Reactions (North-Holland Publ. Co., Amsterdam)
- Marangoni, M., and A. M. Saruis, 1967, Phys. Letters 24B, 218
- Marangoni, M.A. M. Saruis, and A. M. Saruis, 1969, Nucl. Phys. A132, 649
- McVoy, K. W., 1965, Phys. Letters 17, 42
- Migdal, A., 1945, Zh. Eksp. Teor. Fiz. ibid.15, 81
- Min, K., L. N. Bolen, and W. D. Whitehead, 1963, Bull. Am. Phys. Soc. 8, 358
- Mitchell, G. E., E. B. Carter, and R. H. Davis, 1964, Phys. Rev. 133, B1434
- Mohan, R., M. Danos, and L. C. Biedenharn, 1971, Phys. Rev. 3C, 468
- Morrison, R. C., J. R. Stewart, and J. S. O'Connell, 1965, Phys. Rev. Letters 15, 509
- Mshelia, 1971, University of Frankfurt, unpublished results
- Nilsson, S. G., J. Sawicki, and N. K. Glendenning, 1961, Nucl. Phys. 33, 239
- Overly, J. C., and R. R. Borches, 1965, Nucl. Phys. 65, 156
- Philips, C. C., T. A. Griffy, and L. C. Biedenharn, 1960, Nucl. Phys. 21, 327
- Proca, G. A., and D. B. Isabelle, 1968, Nucl. Phys. A109, 177
- Puttaswamy, N. G. and D. Kohler, 1966, Phys. Letters, 20, 288
- Rabie, A., 1970, University of Frankfurt, unpublished results
- Raynal, J., M. A. Melkanoff, and T. Sawada, 1967, Nucl. Phys. A101, 369
- Reay, N. W., N. M. Hintz, and L. L. Lee, 1963, Nucl. Phys. 44, 338
- Rice, O. K., 1933, J. Chem. Phys. 1, 375
- Robson, B. A., and D. Robson, 1967, Phys. Letters, 25B, 504
- Robson, D., 1965, Phys. Rev. 137, B535
- Rosenfeld, L., 1967, in Proc. International Conference on Nuclear Structure, Tokyo, pps. 9-13
- Rosenfeld, L., 1968, Spectroscopic and Group Theoretical Methods in Physics (North-Holland Publ. Co., Amsterdam)
- Rotenberg, M., 1962, Ann. Phys. (New York) 19, 262
- Rotenberg, M., 1963, Ann. Phys. (New York) 21, 579
- Saruis, A. M., and M. Marangoni, 1969, Nucl. Phys. A132, 433
- Schardt, A. W. A. Fowler, and C. C. Lauritsen, 1952, Phys. Rev. 86, 527
- Seaborn, J. B., 1969, Phys. Rev. 179, 958
- Segel, R. E., 1966, in Isobaric Spin in Nuclear Physics, edited by J. D. Fox and D. Robson (Academic, New York)
- Seth, K. K., 1967, Phys. Rev. 164, 1450
- Shakin, C. M., and W. L. Wang, 1971, Phys. Rev. Letters, 26, 902
- Shevchenko, V., and N. Yudin, 1965, At. Energy 3, 3
- Sperduto, A., and W. W. Buechner, 1958, Phys. Rev. 109, 462
- Spicer, B. M., 1969, Advan. in Nucl. Phys. 2, 1
- Spicer, B. M., and J. M. Eisenberg, 1965, Nucl. Phys. 63, 520
- Steinwedel, H., and J. H. D. Jensen, 1950, Z. Naturforsch. 5a, 413
- Suffert, M., 1965, Nucl. Phys. 75, 226
- Suffert, M., and W. Feldman, 1967, Phys. Letters 24B, 579
- Tai, Y., G. P. Millburn, S. N. Kaplan, and B. J. Moyer, 1958, Phys. Rev. 109, 2086
- Tanner, N. W., 1965, Nucl. Phys. 63, 383
- Tanner, N. W., G. C. Thomas, and E. D. Earle, 1964a, Nucl. Phys. 52, 29
- Tanner, N. W.G. C. ThomasE. D. Earle, G. C. Thomas, and E. D. Earle, 1964b, Nucl. Phys. 52, 45
- Teichman, T., and E. P. Wigner, 1952, Phys. Rev. 87, 123
- Thomas, R. G., 1955, Phys. Rev. 97, 224
- Thompson, M. N., and J. E. E. Baglin, 1967, Phys. Letters 25B, 256
- Tobocman, W., and M. A. Nagarjan, 1967, Phys. Rev. 163, 1011
- Villars, F., 1967, in "Fundamentals in Nuclear Theory", edited by A. de Shalit and C. Villi (International Atomic Energy Agency, Vienna)
- Vinh-Mau, N., and G. E. Brown, 1962, Nucl. Phys. 29, 89
- Vinh-Mau, N.G. E. Brown, and G. E. Brown, 1966, Phys. Letters 23, 257
- Wahsweiler, H., M. Danos, and W. Griner, 1966, Phys. Rev. Letters 17, 395
- Wahsweiler, H.M. DanosW. Griner, M. Danos, and W. Greiner, 1968, Phys. Rev. 170, 893
- Warburton, E. K., 1966, in "Isobaric Spin in Nuclear Physics", edited by J. D. Fox and D. Robson, (Academic, New York)
- Weber, H. J., M. G. Huber, and W. Greiner, 1966, Z. Physik 92, 223
- Weidenmüller, H. A., 1966a, Nucl. Phys. 75, 189
- Weidenmüller, H. A., 1966b, Nucl. Phys. 85, 241
- Weidenmüller, H. A., 1967, Nucl. Phys. A99, 269, 289
- Weidenmüller, H. A., and K. Dietrich, 1966, Nucl. Phys. 83, 332
- Weinberg, S., 1963, Phys. Rev. 130, 776
- Weinberg, S., 1964, Phys. Rev. 131, 440
- Weiss, M. S., 1965, Phys. Letters 19, 393
- Weisskopf, V. F., 1961, Phys. Today 14, 18
- Wild, W., 1955, Sitzungsbericht Bayr. Akad. München
- Wilkinson, D. H., 1956, Physica 22, 1039
- Willard, H., and L. C. Biedenharn, 1958, Proc. Roy. Soc. 62, 874
- Willis, J. E., Jr., 1958, Phys. Rev. 109, 891
- Wu, C. P., J. E. E. Baglin, F. W. K. Firk, and T. W. Phillips, 1968, Phys. Rev. Letters 29B, 359
- Wu, C. P.J. E. E. BaglinF. W. K. FirkT. W. Phillips, F. W. K. Firk, and T. W. Phillips, 1968, Phys. Rev. Letters 20, 1182
- Wyckoff, J. M., B. Ziegler, H. W. Koch, and R. Uhlig, 1965, Phys. Rev. 137, B576