Abstract
Here we consider the large-scale structure of the atomic nucleus. A nucleus comprises a system of A nucleons, which, when well separated from each other and outside the range of the strongly attractive nuclear force, has as its energy just the sum of the rest mass of the individual nucleons (Fig. 3.1 left) . In bringing, in a hypothetical way, the nucleons close together, at the range of the strong force (approximately 10-14–10-13m), condensation into the bound atomic nucleus will result (Fig. 3.1 right) with a release of the corresponding binding energy. This causes an observable deficit in the mass of the actual nucleus as compared to the sum of the masses of the individual nucleons. This “loss” of mass is known as a mass defect.
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Further Reading
Before listing some textbooks discussing nuclear structure, we cite two more popular review papers: Hodgson, P.E. (1994) Contemp. Phys. 35, 329
Wilkinson, D. (1984) Nucl. Phys. A421, 1c
An overview of technical developments in the 1990s, for advanced readers: Johnson, N.R. (ed.) (1990) Nuclear Structure in the Nineties, Nucl. Phys. A520
A large number of textbooks are devoted to nuclear structure. We first give some that concentrate on the topic as a whole: Bohr, A., Mottelson, B. (1969) Nuclear Structure, Vol. 1 (Benjamin, New York)
Bohr, A., Mottelson, B. (1975) Nuclear Structure, Vol. 2 (Benjamin, New York)
Eisenberg, J.M., Greiner, W. (1987) Nuclear Models, Vol. 1, 3rd ed. (North-Holland, Amsterdam)
Eisenberg, J.M., Greiner, W. (1987) Excitation Mechanisms of the Nucleus, Vol. 2, 3rd ed. (North-Holland, Amsterdam)
Eisenberg, J.M., Greiner, W. (1976) Microscopic Theory of the Nucleus, Vol. 3 (North-Holland, Amsterdam)
Hornyack, W.F. (1975) Nuclear Structure (Academic, New York)
Ring, P., Schuck, P. (1980) The Nuclear Many-body Problem (Springer, Berlin Heidelberg)
de Shalit, A., Fesbach, H. (1974) Theoretical Nuclear Physics (Wiley, New York)
Textbooks concentrating more on shell model methods: Brussaard, P.J., Glaudemans, P.W.M. (1977) Shell Model Applications in Nuclear Spectroscopy (North-Holland, Amsterdam)
Heyde, K.L.G. (1994) The Nuclear Shell Model Study edition, 2nd ed. (Springer, Berlin Heidelberg)
Lawson, R.D. (1980) Theory of the Nuclear Shell Model (Clarendon Press, Oxford)
Mayer, M.G., Jensen, H.D. (1955) Elementary Theory of Nuclear Shell Structure (Wiley, New York)
de Shalit, A., Talmi, I. (1963) Nuclear Shell Theory (Academic, New York)
Talmi, I. (1993) Simple Models of Complex Nuclei: The Shell Model and Interacting Boson Model (Harwood, New York)
Those textbooks that deal with collective motion in the nucleus include, of course, the monumental volume series of Bohr and Mottelson mentioned above. Some further references are: Kumar, K. (1984) Nuclear Models and the Search for Unity in Nuclear Physics (Universitetsforlanger, Oslo)
Nilsson, S.G., Ragnarsson, I. (1995) Nuclear Shells and Shapes (Cambridge University Press, New York)
Rowe, D.J. (1970) Nuclear Collective Motion (Methuen, New York)
Two textbooks discussing numerical methods and computer codes that describe nuclear structure and nuclear reaction properties are: Langanke, K., Maruhn, J.A., Koonin, S.E. (ed.) (1991) Computational Nuclear Physics 1: Nuclear Structure (Springer New York)
Langanke, K., Maruhn, J.A., Koonin, S.E. (ed.) (1993) Computational Nuclear Physics 2: Nuclear Reactions (Springer New York)
In studying various nuclear structure processes, one first has to understand how the nucleon interactions generate an average field. On Hartree-Fock theory, the details are well described in the general nuclear structure textbooks. A number of more detailed but important papers in this field, as well a number of review papers on self-consistent Hartree-Fock techniques with applications, are the following: Baktash, C., Haas, B., Nazarewicz, W. (1995) Ann. Rev. Nucl. Part. Sci. 45, 485
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A basic article combining Hartree-Fock methods with the time dependence of nuclear dynamics is Bonche, P., Koonin, S., Negele, J.W. (1976) Phys. Rev. C13, 1226
Audi, G., Wapstra, A.H. (1995) Nucl. Phys. A595, 409
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Concerning the shell model, a large body of references exists relating to aspects of constructing effective interactions starting from the bare nucleon interactions, the construction of effective forces in given model spaces, on large-scale shell model studies, and recent developments concerning Shell Model Monte-Carlo extensions. We give here a number of important references in this domain. Weizsäcker, von C.F. (1935) Z.Phys. 96, 431
Barrett, B.R., Kirson, M.W. (1973) Adv. Nucl. Phys. 6, 219
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Brueckner, K.A., Eden, R.J., Francis, N.C. (1955) Phys. Rev. 100, 891
Brueckner, K.A., Gammel, J.L. (1958) Phys. Rev. 109, 1023
Hjorth-Jensen, M., Osnes, E., Müther, H. (1992) Ann. Phys. 213, 102
Hjorth-Jensen, M., Kuo, T.T.S., Osnes, E. (1995) Phys. Rep. 261, 125
Kuo, T.T.S. (1981) in Topics in Nuclear Physics, Lect. Notes Phys., Vol.144 (Springer, Berlin Heidelberg)
Kuo, T.T.S., Brown, G.E. (1966) Nucl. Phys. 85, 40
Schucan, T.H., Weidenmüller, H.A. (1972) Ann. Phys. (N.Y.) 73, 108
Schucan, T.H., Weidenmüller, H.A. (1973) Ann. Phys. (N.Y.) 76, 425
Discussions of large-scale shell model calculations; the codes (acronyms of the various large-scale shell model codes are given) and applications include: Brown, B.A., Wildenthal, B.H. (1988) Ann. Rev. Nucl. Sci. 38, 29
Caurier, E. (1989) ANTOINE CRN Strasbourg
Caurier, E., Zuker, A.P., Poves, A., Martinez-Pinedo, G. (1994) Phys. Rev. C50, 225
van Hees, A.G.M., Glaudemans, P.W.M. (1981) RITSCHIL Z. Phys. A303, 267
McRae, W.D., Etchegoyen, A., Brown, B.A. (1988) OXBASH MSU Report 524
Nakada, K., Sebe, T., Otsuka, T. (1994) Nucl. Phys. A571, 467
Schmid, K.W., Grümmer, F. (1987) VAMPIR Rep. Progr. Phys. 50, 731
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Wildenthal B.H. (1976) Varenna Lectures 69, 383
Wildenthal, B.H., McGrory, J.B., Halbert, E.C., Graber, H.D. (1971) Phys. Rev. C4, 1708
A recent conference proceedings on state-of-the-art shell model studies is: Wyss, R. (ed.) (1995) Proc. Int. Symp. on New Nuclear Structure Phenomena in the Vicinity of Closed Shells, Phys. Script. T56
References on Shell Model Monte-Carlo calculations: Honma, M., Mizusaki, T., Otsuka, T. (1996) Phys. Rev. Lett. 77, 3315
Koonin, S.E., Dean, D.J., Langanke, K. (1997) Phys. Rep. 278, 1
Lang, G.H., Johnson, C.W., Koonin, S.E., Ormand, W.E. (1993) Phys. Rev. C48, 1518
Mizusaki, T., Honma, M., Otsuka, T. (1996) Phys. Rev. C53, 2786
Ormand, W.E., Dean, D.J., Johnson, C.W., Lang, G.H., Koonin, S.E. (1994) Phys. Rev. C49, 1422
Pudliner, B.S., Pandharipande, V. R. , Carlson, J., Wiringa, R.B. (1995) Phys. Rev. Lett. 74, 4396
Works discussing the importance of possible low-lying excitations from outside the regular shell model spaces, with many references to the vast literature, are: Heyde, K., Van Isacker, P., Waroquier, M., Wood, J.L., Meyer, R.A. (1983) Phys. Rep. 102, 291
Wood, J.L., Heyde, K., Nazarewicz, W., Huyse, M., Van Duppen, P. (1992) Phys. Rep. 215, 101
There is a very large literature on symmetries in nuclear physics. First we give a couple of more general introductory references: Gross, D.J. (1995) Physics Today December, p. 46
Peierls, R. (1992) Contemp. Physics 33, 221
Rowe, D.J., Nash, C. (1991) Symmetry, Art and Nuclear Physics (University of Toronto, Toronto)
Wambach, J. (1991) Contemp. Phys. 32, 291
Yang, C.N. (1991) AAPPSB Bull. Vol. 1, No. 3, p. 3
Concepts relating to structural symmetries, and the relation between geometrical symmetries and various modes of motion are extensively discussed in the works of Bohr and Mottelson (Vol. 2) and the volumes of Eisenberg and Greiner. Here we add a couple of references on the ‘scissors’ mode: Berg, U.E.P., Kneissl, U. (1987) Ann. Rev. Nucl. Part. Sci. 37, 33
Bohle, D., Richter, A., Steffen, W., Dieperink, A.E.L., Lo Iudice, N., Palumbo, F., Scholten, O. (1984) Phys. Lett. B137, 27
de Coster, C., Heyde, K., Richter, A., Wörtche, H.J. (1992) Nucl.Phys. A542, 375
Kneissl, U., Pitz, H.H., Zilges, A. (1996) Prog. Part. Nucl. Phys. 37, 349
Richter, A. (1996) in Building Blocks of Nuclear Structure, ed. by A. Covello (World Scientific, Singapore)
Ziegler, W., Rangacharyulu, C., Richter, A., Spieler, C. (1990) Phys. Rev. Lett. 65, 2515
The history of symmetry concepts in nuclear physics is impressive and here we give a chronological list of some keynote articles Heisenberg, W. (1932) Z.Phys. 77, 1
Wigner, E.P. (1937) Phys. Rev. 51, 106
Racah, G. (1943): Phys. Rev. 63, 367
Mayer, M.G. (1949) Phys. Rev. 75, 1969
Haxel, O., Jensen, H.H.D., Suess, H.E. (1949) Phys. Rev. 75, 1766
Bohr, A. (1951) Phys. Rev. 81, 134
Bohr, A. (1952) Mat. Fys. Medd. Dan. Vid. Selsk. 26, No. 4
Bohr, A., Mottelson, B. (1953) Mat. Fys. Medd. Dan. Vid. Selsk. 27, No. 16
Elliott, J.P. (1958) Proc. Roy. Soc. A245, 128, 562
Elliott, J.P., Harvey, M. (1963) Proc. Roy. Soc. A272, 557
Arima, A, Iachello, F. (1975) Phys. Lett. B57, 39
Arima, A., Iachello, F. (1975) Phys. Rev. Lett. 35, 1069
Rowe, D.J. (1996) Prog. Part. Nucl. Phys. 37, 265
On dynamical symmetries there is also a large amount of literature and, for mathematical aspects, we refer to some general textbooks: Gilmore, B. (1974) Lie Groups, Lie Algebras and some of their Applications (Wiley, New York)
Hamermesh, M. (1962) Group Theory and its Applications to Physical Problems (Addison-Wesley, Reading, MA)
Iachello, F. (1983) Lie Groups, Lie Algebras and Some Applications, Trento Lecture Notes, UT. F97
Lipkin, H. (1965) Lie Groups for Pedestrians (North-Holland, Amsterdam)
Parikh, J.C. (1978) Group Symmetries in Nuclear Structure (Plenum, New York)
Wybourne, B.G. (1974) Classical Groups for Physicists (Wiley, New York)
A very extensive literature deals with the interacting boson model (IBM). Here we quote a number of essential textbooks, the original Ann. Phys. (N.Y.) articles, and some more general articles written in a popular style: Casten, R.F. (ed.) (1993) Algebraic Approaches to Nuclear Structure (Gordon & Breach, New York)
Iachello, F., Arima, A. (1988) The Interacting Boson Model (University Press, Cambridge)
Iachello, F., van Isacker, P. (1991) The Interacting Boson-Fermion Model (University Press, Cambridge)
Arima, A., Iachello, F. (1976) Ann. Phys. (N.Y.) 99, 253
Arima, A., Iachello, F. (1978) Ann. Phys. (N.Y.) 111, 201
Arima, A., Iachello, F. (1979) Ann. Phys. (N.Y.) 123, 436
Casten, R.F. (1984) Comments Nucl. Part. Phys. 12, 119
Dieperink, A.E.L. (1985) Comments Nucl. Part. Phys. 14, 25
Talmi, I. (1983) Comments Nucl. Part. Phys. 11, 241
Rotational properties of deformed nuclei have quite a long history. We start by listing chronologically some of the original older papers: Nilsson, S.G. (1955) K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 29, No. 16
Strutinski, V.M. (1967) Nucl. Phys. A95, 420
Strutinski, V.M. (1968) Nucl. Phys. A122, 1
Brack, M., Damgaard, J., Jensen, A.S., Pauli, H.C., Strutinsky, V.M., Wong, C.Y. (1972) Rev. Mod. Phys. 44, 320
These concepts are also discussed at length in the books of Bohr and Mottel-son, Eisenberg and Greiner, Nilsson and Ragnarsson and Ring and Schuck. Some older papers concentrating on deformation, backbending and also presenting extensive data are: Bunker, M.E., Reich, C.W. (1971) Rev. Mod. Phys. 43, 438
Johnson, A., Szymanski, Z. (1973) Phys. Rep. 7, 181
Ogle, W., Wahlborn, S., Piepenbring, R., Frederiksson, S. (1971) Rev. Mod. Phys. 43, 424
Ragnarsson, I., Nilsson, S.G., Sheline, R.K. (1978) Phys. Rep. 45, 1
Some recent review papers concentrating on many aspects of rapidly rotating and strongly deformed nuclei, e.g., superdeformation and hyper deformation, including the original discovery paper by Twin et al.: Aberg, S., Flocard, H., Nazarewicz, W. (1990) Ann. Rev. Nucl. Part. Sci. 40, 439
Beausang, C.W., Simpson, J. (1996) J. Phys. G 22, 527
Firestone, R.B., Singh, B. (1995) Table of Superdeformed Nuclear Bands and Fission Isomers LBL-35916, UC-413
Garrett, J.D. (1988) in The Response of Nuclei under Extreme Conditions, ed. by Broglia, R.A., Bertsch, G. (Plenum, New York)
Janssens, R.V.F., Khoo, T.L. (1991) Ann. Rev. Nucl. Part. Sci. 41, 321
LaFosse, D.R. et al. (1996) Phys. Rev. C54, 1585
Nolan, P.J., Twin, P. (1988) Ann. Rev. Nucl. Part. Sci. 38, 533
Sharpey-Schafer, J.F., Simpson, J. (1988) Rep. Prog. Phys. 21, 293
Twin, P. et al. (1986) Phys. Rev. Lett. 57, 811
We also include a number of more popular articles discussing properties of rapidly rotating nuclei and the experimental facilities to detect them: Garrett, J. (1984) Comm. Nucl. Part. Phys. 13, 1
Goldhaber, J. (1991) LBL Research Review, Spring, p. 22
Hellemans, A. (1996) Science 271, 24
Lieb, K.P., Broglia, R., Twin, P. (1994) Nucl. Phys. News 3, 21
Newton, J.O. (1989) Contemp. Phys. 30, 277
Phillips, W.R. (1993) Nature 366, 4 November, p. 13
Information about nuclear interactions as derived from the theoretical and experimental study of nuclear level distributions, and symmetries governing the nuclear many-body system are discussed in the popular presentation Weidenmüller, H. (1986) Comm. Nucl. Part. Phys. 16, No. 4, 199
A detailed study of the derivation of level distributions as a function of matrix element distributions is given in the Vol. 1 of Bohr and Mottelson. We quote a couple of works that give access to the extensive literature on both experimental and theoretical level distributions. On quantum chaos in a more general context: Haake, F. (1991) Quantum Signatures of Chaos (Springer, Berlin Heidelberg)
Harney, H.L., Dittes, F.-M., Müller, A. (1992) Ann. Phys. (N.Y.) 220, 159
Sieber, M., Steiner, F. (1991) Phys. Rev. Lett. 67, 194
On the statistical properties of level distributions in atomic nuclei: Bohigas, O. (1991) in Chaos and Quantum Physics, ed. by Giannoni, M., Voros, A., Zinn-Justin, J. (North-Holland, New York)
Bohigas, O., Weidenmüller, H. (1988) Ann. Rev. Nucl. Part. Sci., 421
Brody, T.A., Flores, J., French, J.B., Mello, P.A., Pandey, A., Wong, S.S.M. (1981) Rev. Mod. Phys. 53, 385
Guhr, T., Weidenmüller, H. (1990) Ann. Phys. (N.Y.) 199, 412
Haq, R.U., Pandey, A., Bohigas, O. (1982) Phys. Rev. Lett. 48, 1086
Raman, S. et al. (1991) Phys. Rev. C43, 521
Shriner Jr., J.F., Bilpuch, E.G., Endt, P.M., Mitchell, G.E. (1990) Z. Phys. A335, 393
Weidenmüller, H. (1985) in Nuclear Structure, ed. by Broglia, R.A., Hagemann, G., Herskind, B. (North-Holland, Amsterdam)
Statistical properties derived from shell model and collective model studies: Alhassid, Y., Whelan, N. (1991) Phys. Rev. C43, 2637
Alhassid, Y., Novoselsky, A. (1992) Phys. Rev. C45, 1677
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Kusnezov, D., Brown, B.A., Zelevinsky, V. (1996) Phys. Lett. B385, 5
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Whelan, N., Alhassid, Y. (1993) Nucl. Phys. A586, 42
Zhang, W.M., Feng, D.H. (1991) Phys. Rev. C43, 1127
The field of very hot nuclei also contains many facets; too many to go into detail here. We have singled out the dramatic case of the discovery of two-phonon excitations that “survive” at very high excitation energy inside the nucleus. Auerbach, N. (1987) in Proc. Workshop on Pion—Nucleus Physics: Future Directions and New Facilities at LAMPF (American Institute of Physics) 163, 34
Auerbach, N. (1990) Ann. Phys. (N.Y.) 197, 376
Boretzky, K. et al. (1996) Phys. Lett. B384, 30
Mordechai, S., Moore, S.F. (1991) Nature 352, 293
Mordechai, S., Moore, S.F. (1994) Int. J. Mod. Phys. E3, 39
In reaching regions far from stability, besides the technical literature, a number of more popular texts have appeared recently: Armbruster, P., Munzenberg, G. (1989) Scientific American, May, 36
Austin, S.M., Bertsch, G.F. (1995) Scientific American, June, 62
CERN Courier, (1994) March, 3
CERN Courier, (1995) December, 2
Hansen, P.G. (1993) Nature 361, February, 501
Hansen, P.G. (1993) New Scientist, 9th October, 38
Nitschke, M. (1989) New Scientist, 25th February, 55
Technical review papers and some original papers on light, exotic nuclei: Hamilton, J.H. (1989) Treatise on Heavy-Ion studies, ed. by Bromley, D.A. (Plenum, New-York) Vol. 8, 1
Hansen, P.G. (1993) Nucl. Phys. A553, 89c
Hansen, P.G., Jonson, B. (1987) Europhys. Lett. 4, 409
Hansen, P.G., Jensen, A.S., Jonson, B. (1995) Ann. Rev. Nuc. Sci. 45, 591
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Recently, the doubly magic nucleus 100Sn has been discovered; some of the keynote papers are: Chartier, M. et al. (1996) Phys. Rev. Lett. 77, 2400
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Exploratory theoretical studies on how the nuclear mean-field might change as one approaches the drip-line are reported in the following recent papers: Dobaczewski, J., Hamamoto, I., Nazarewicz, W., Seikh, J.A. (1994) Phys. Rev. Lett. 72, 981
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Great efforts continue to produce in the laboratory the heaviest nuclei possible in our universe: Armbruster, P. (1985) Ann. Rev. Nucl. Part. Sci. 35, 135
Münzenber, G. (1988) Rep. Prog. Phys. 51, 57
Schmidt, K.-H., Morawek, W. (1991) Rep. Prog. Phys. 54, 949
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Heyde, K. (1998). Introducing the Atomic Nucleus: Nuclear Structure. In: From Nucleons to the Atomic Nucleus. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03633-4_3
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