Abstract
This contribution consists of several connected parts: a brief introduction to nuclear physics and nuclear theory; the evidence for magic numbers in nuclear properties, and their interpretation in terms of the single-particle nuclear shell model; the construction of many-body wave functions for configuration mixing calculations; model space truncations of the many-body basis; types of configuration interaction codes and the Lanczos method; types of effective Hamiltonians for specific model spaces; and an introduction to the NuShellX code for calculating, wavefunctions, energies and observables for a given model space and Hamiltonian.
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References
B.A. Brown, Physics 3, 104 (2010)
M.G. Mayer, Phys. Rev. 75, 1969 (1949)
O. Haxel, J.H.D. Jensen, H.E. Suess, Phys. Rev. 75, 1766 (1949)
K.E. Johnson, Maria Goeppert Mayer: atoms, molecules and nuclear shells. Phys. Today 39, 44 (1986)
L.H. Thomas, Nature (London) 117, 514 (1926)
W.D.M. Rae, A. Etchegoyen, B.A. Brown, OXBASH, the Oxford-Buenos Aries-MSU Shell-Model Code, Michigan State University Laboratory Report no. 524
R.R. Whitehead, A. Watt, B.J. Cole, I. Morrison, Advances in Nuclear Nuclear Physics, vol. 9, p. 123 (1977); L.M. Mackenzie, A.M. Macleod, D.J. Berry, R.R. Whitehead, Comput. Phys. Comm. 48, 229 (1988)
R.D. Lawson, Theory of the Nuclear Shell Model (Clarendon Press, 1980)
T. Sebe, M. Harvey, Enumeration of many-body states of the nuclear shell model with definite angular momentum and isobaric spin with mixed single particle orbits. ARCL. Chalk River 3007, (1968)
D.K. Sunko, Phys. Rev. C 33, 1811 (1986)
J.P. Draayer, H.T. Valdes, Comput. Phys. Comm. 36, 313 (1985)
P. Navratil, J.P. Vary, B.R. Barrett, Phys. Rev. Lett. 84, 5728 (2000) (and references therein)
W.C. Haxton, C.L. Song, Phys. Rev. Lett. 84, 5484 (2000)
S.K. Bogner, T.T.S. Kuo, A. Schwenk, Phys. Rept. 386, 1 (2003)
S.K. Bogner, R.J. Furnstahl, A. Schwenk, Prog. Part. Nucl. Phys. 65, 94 (2010)
R.L. Lawson, F.J.D. Serduke, H.T. Fortune, Phys. Rev. C 14, 1245 (1976)
C. De Coster, B. Decroix, K. Heyde, Phys. Rev. C 61, 067306 (2000)
E.K. Warburton, B.A. Brown, Phys. Rev. C 46, 923 (1992)
E.K. Warburton, J.A. Becker, B.A. Brown, Phys. Rev. C 41, 1147 (1990)
F. Nowacki, A. Poves, E. Caurier, B. Bounthong, Phys. Rev. Lett. 117, 272501 (2016)
I. Hamamoto, Phys. Rev. C 76, 054319 (2007)
H. Sagawa, B.A. Brown, H. Esbensen, Phys. Lett. B 309, 1 (1993)
A. Lepailleur et al., Phys. Rev. C 92, 054309 (2015)
T. Otsuka et al., Phys. Rev. Lett. 95, 232502 (2005)
T. Otsuka et al., Phys. Rev. Lett. 104, 012501 (2010)
R.R. Whitehead, A. Watt, B.J. Cole, I. Morrison, Adv. Nucl. Phys. 9, 123 (1977)
E. Caurier, F. Nowacki, Acta Phys. Pol. B 30, 705 (1999)
J.P. Vary, The Many-Fermion Dynamics Shell-Model Code (Iowa State University, 1992) (unpublished); J.P. Vary, D.C. Zheng, ibid., (1994) (unpublished); P. Sternberg, E. Ng, C. Yang, P. Maris, J.P. Vary, M. Sosonkina, H. Viet Le, Accelerating configuration interaction calculations for nuclear strucure, in IEEE Conference on Supercomputing the Proceedings of the 2008 ACM (IEEE Press, Piscataway, NJ). https://doi.org/10.1145/1413370.1413386
C.W. Johnsona, W.E. Ormandb, P.G. Krastev. https://arxiv.org/pdf/1303.0905.pdf
B.A. Brown, A. Etchegoyen, W.D.M. Rae, N.S. Godwin, W.A. Richter, C.H. Zimmerman, W.E. Ormand, J.S. Winfield, MSU-NSCL Report No. 524, 1985
B.A. Brown, W.D.M. Rae, Nucl. Data Sheets 120, 115 (2014)
B.H. Wildenthal, Prog. Part. Nucl. Phys. 11, 5 (1984)
W.E. Ormand, B.A. Brown, Nucl. Phys. A 491, 1 (1989)
W.E. Ormand, B.A. Brown, Nucl. Phys. A 440, 274 (1985)
W.E. Ormand, B.A. Brown, Phys. Lett. B 174, 128 (1986)
A. de Shalit, I. Talmi, Nuclear Shell Theory (Academic Press, 1963)
W. Kutschera, B.A. Brown, K. Ogawa, La Rivista del Nuovo Cimento vol. 11, p. 1 (1978)
A. Arima, S. Cohen, R.D. Lawson, M.H. MacFarlane, Nucl. Phys. A 108, 94 (1968)
W. Chung, Ph.D. thesis, Michigan State University, 1976
B.A. Brown, W.A. Richter, Phys. Rev. C 74, 034315 (2006)
M. Honma, T. Otsuka, B.A. Brown, T. Mizusaki, Phys. Rev. C 65, 061301(R) (2002)
A. Poves, A.P. Zuker, Phys. Rep. 70, 235 (1981)
A. Poves, J. Sanchez-Solano, E. Caurier, F. Nowacki, Nucl. Phys. A 694, 157 (2001)
B.A. Brown, W.A. Richter, R.E. Julies, B.H. Wildenthal, Ann. Phys. 182, 191 (1988)
A.G.M. van Hees, P.W.M. Glaudemans, Z. Phys. A 315, 223 (1984)
I. Talmi, Helv. Phys. Acta 25, 185 (1952)
S. Cohen, D. Kurath, Nucl. Phys. 73, 1 (1965); Nucl. Phys. A101, 1 (1967)
R.E. Julies, W.A. Richter, B.A. Brown, South Afr. J. Phys. 15, 35 (1992)
J.B. McGrory, Phys. Rev. C 8, 693 (1973)
W.A. Richter, M.G. Van der Merwe, R.E. Julies, B.A. Brown, Nucl. Phys. A 523, 325 (1991)
M. Honma, T. Otsuka, B.A. Brown, T. Mizusaki, Euro. Phys. J. A 25(Suppl. 1), 499 (2005)
E.K. Warburton, J.A. Becker, D.J. Millener, B.A. Brown, BNL report 40890 (1987)
J. Retamosa, E. Caurier, F. Nowacki, A. Poves, Phys. Rev. C 55, 1266 (1997)
Y. Utsuno, T. Otsuka, T. Mizusaki, M. Honma, Phys. Rev. C 60, 054315 (1999)
D.J. Dean, M.T. Ressell, M. Hjorth-Jensen, S.E. Koonin, A.P. Zuker, Phys. Rev. C 59, 2474 (1999)
F. Nowacki, A. Poves, Phys. Rev. C 79, 014310 (2009)
M. Honma, T. Otsuka, T. Mizusaki, M. Hjorth-Jensen, Phys. Rev. C 80, 064323 (2009)
A.F. Lisetskiy, B.A. Brown, M. Horoi, H. Grawe, Phys. Rev. C 70, 044314 (2004)
D. Verney et al., Phys. Rev. C 76, 054312 (2007)
K.T. Flanagan et al., Phys. Rev. C 82, 041302(R) (2010)
A. Gade et al., Phys. Rev. C 81, 064326 (2010)
B. Cheal, Phys. Rev. Lett. 104, 252502 (2010)
P. Vingerhoets et al., Phys. Rev. C 82, 064311 (2010)
A.D. Becerril et al., Phys. Rev. C 84, 041303(R) (2011)
S.J.Q. Robinson, L. Zamick, Y.Y. Sharon, Phys. Rev. C 83, 027302 (2011)
D. Verney et al., Phys. Rev. C 87, 054307 (2013)
B.A. Brown, D.L. Fang, M. Horoi, Phys. Rev. C 92, 041301(R) (2015)
A.C. Dombos et al., Phys. Rev. C 93, 064317 (2016)
F. Recchia et al., Phys. Rev. C 94, 054324 (2016)
S. Mukhopadhyay, B.P. Crider, B.A. Brown, S.F. Ashley, A. Chakraborty, A. Kumar, E.E. Peters, M.T. McEllistrem, F.M. Prados-Estevez, S.W. Yates, Phys. Rev. C 95, 014327 (2017)
E. Caurier et al., Shell-model code NATHAN (unpublished)
T. Engeland, M. Hjorth-Jensen, G.R. Jansen, unpublished; M. Hjorth-Jensen, T.T.S. Kuo, E. Osnes, CENS, computational environment for nuclear structure. Phys. Rep. 261, 125 (1995)
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Alex Brown, B. (2019). The Nuclear Configuration Interations Method. In: García-Ramos, JE., Andrés, M., Valera, J., Moro, A., Pérez-Bernal, F. (eds) Basic Concepts in Nuclear Physics: Theory, Experiments and Applications. RÁBIDA 2018. Springer Proceedings in Physics, vol 225. Springer, Cham. https://doi.org/10.1007/978-3-030-22204-8_1
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