Monopole collective motion in helium and oxygen nuclei

J.-S. Wu; M. R. Strayer; M. Baranger

doi:10.1103/PhysRevC.60.044302

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Monopole collective motion in helium and oxygen nuclei

J.-S. Wu¹, M. R. Strayer², and M. Baranger³

¹Department of Natural Sciences, Fayetteville State University, Fayetteville, North Carolina 28301
²Physics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831
³Center for Theoretical Physics and Laboratory for Nuclear Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Phys. Rev. C 60, 044302 – Published 26 August, 1999

DOI: https://doi.org/10.1103/PhysRevC.60.044302

Abstract

We review the rationale for basing the calculation of collective motion on the periodic solutions of the time-dependent Hartree-Fock mean field. With suitable discretization, we find a family of these solutions and we apply a simple quantization rule. Results are presented for $^{4} He$ and $^{16} O$ .

References (13)

J.-S. Wu, K.C. Wong, M.R. Strayer, and M. Baranger, Phys. Rev. C 56, 857 (1997).
For examples of applications of TDHF theory, see K.T.R. Davies, K. Devi, S.E. Koonin, and M.R. Strayer, in Treatise on Heavy-Ion Science, edited by D.A. Bromley (Plenum Press, New York, 1985), Vol. 3, p. 1.
For a review of the mean field approximation in nuclei, see J.W. Negele, Rev. Mod. Phys. 54, 913 (1982), in particular Secs. III (for time-dependent Hartree-Fock calculations), III A 1 (for the RPA), VI C 1 (for periodic TDHF solutions), and VII A 1 (for the Skyrme interaction).
G. Bertsch, P.F. Bortignon, and R.A. Broglia, Rev. Mod. Phys. 55, 287 (1983); C.R. Chinn, A.S. Umar, M. Vallières, and M.R. Strayer, Phys. Rep. 264, 107 (1996).
S.J. Levit, J.W. Negele, and Z. Paltiel, Phys. Rev. C 21, 1603 (1980); H. Reinhardt, Nucl. Phys. A346, 1 (1980); J.P. Blaizot, Phys. Lett. 107B, 331 (1981); I. Zahed and M. Baranger, Phys. Rev. C 29, 1010 (1984).
S.E. Koonin, Phys. Lett. 61B, 227 (1976).
A.K. Kerman and S.E. Koonin, Ann. Phys. (N.Y.) 100, 332 (1976).
J. Wu, R. Feng, and W. Nörenberg, Nucl. Phys. A489, 430 (1988).
M. Baranger and K.T.R. Davies, Ann. Phys. (N.Y.) 177, 330 (1987).
M. Baranger, in Atomic Collisions: A Symposium in Honor of Christopher Bottcher (1945–1993), edited by D.R. Schultz, M.R. Strayer, and J.H. Macek, AIP Conf. Proc. No. 347 (AIP, New York, 1995), and p. 226.
H. Flocard, S.E. Koonin, and M.S. Weiss, Phys. Rev. C 17, 1682 (1978).
J. Blocki and H. Flocard, Phys. Lett. 85B, 163 (1979); A.S. Umar and M.R. Strayer, Phys. Lett. B 171, 353 (1986).
The first calculation of periodic TDHF orbits for $^{4} He$ is in Ph. Chomaz, H. Flocard, and D. Vautherin, Phys. Rev. Lett. 56, 1787 (1986).

[c1] J.-S. Wu, K.C. Wong, M.R. Strayer, and M. Baranger, Phys. Rev. C 56, 857 (1997).

[c2] For examples of applications of TDHF theory, see K.T.R. Davies, K. Devi, S.E. Koonin, and M.R. Strayer, in Treatise on Heavy-Ion Science, edited by D.A. Bromley (Plenum Press, New York, 1985), Vol. 3, p. 1.

[c3] For a review of the mean field approximation in nuclei, see J.W. Negele, Rev. Mod. Phys. 54, 913 (1982), in particular Secs. III (for time-dependent Hartree-Fock calculations), III A 1 (for the RPA), VI C 1 (for periodic TDHF solutions), and VII A 1 (for the Skyrme interaction).

[c4] G. Bertsch, P.F. Bortignon, and R.A. Broglia, Rev. Mod. Phys. 55, 287 (1983); C.R. Chinn, A.S. Umar, M. Vallières, and M.R. Strayer, Phys. Rep. 264, 107 (1996).

[c5] S.J. Levit, J.W. Negele, and Z. Paltiel, Phys. Rev. C 21, 1603 (1980); H. Reinhardt, Nucl. Phys. A346, 1 (1980); J.P. Blaizot, Phys. Lett. 107B, 331 (1981); I. Zahed and M. Baranger, Phys. Rev. C 29, 1010 (1984).

[c6] S.E. Koonin, Phys. Lett. 61B, 227 (1976).

[c7] A.K. Kerman and S.E. Koonin, Ann. Phys. (N.Y.) 100, 332 (1976).

[c8] J. Wu, R. Feng, and W. Nörenberg, Nucl. Phys. A489, 430 (1988).

[c9] M. Baranger and K.T.R. Davies, Ann. Phys. (N.Y.) 177, 330 (1987).

[c10] M. Baranger, in Atomic Collisions: A Symposium in Honor of Christopher Bottcher (1945–1993), edited by D.R. Schultz, M.R. Strayer, and J.H. Macek, AIP Conf. Proc. No. 347 (AIP, New York, 1995), and p. 226.

[c11] H. Flocard, S.E. Koonin, and M.S. Weiss, Phys. Rev. C 17, 1682 (1978).

[c12] J. Blocki and H. Flocard, Phys. Lett. 85B, 163 (1979); A.S. Umar and M.R. Strayer, Phys. Lett. B 171, 353 (1986).

[c13] The first calculation of periodic TDHF orbits for $^{4} He$ is in Ph. Chomaz, H. Flocard, and D. Vautherin, Phys. Rev. Lett. 56, 1787 (1986).

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Monopole collective motion in helium and oxygen nuclei

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