Probing the nuclear energy functional at band termination

A systematic study of terminating states in the A{approx}50 mass region using the self-consistent Skyrme-Hartree-Fock model is presented. The objective of this study is to demonstrate that the terminating states, due to their intrinsic simplicity, offer unique and so far unexplored opportunities to study different aspects of the effective NN interaction or nuclear local energy density functional. In particular, we show that the agreement of the calculations to the data depends on the spin fields and the spin-orbit term which, in turn, allows us to constrain the appropriate Landau parameters and the strength of the spin-orbit potential. The present study reveals that the structure and energy of terminating states can be used as a tool to differentiate among the many Skyrme force parametrizations.

[1]  W. Nazarewicz,et al.  Gamow-Teller strength and the spin-isospin coupling constants of the Skyrme energy functional , 2001, nucl-th/0112056.

[2]  N. Medina,et al.  Lifetimes in the middle of 1f7/2 shell: cross-conjugated nuclei 47V and 49Cr , 2001 .

[3]  K. Spohr,et al.  High Spin Spectroscopy of Light f 7/2 Nuclei Studied with EUROBALL IV and the Recoil Filter Detector: a Smooth Band Termination in 45 Sc , 2001 .

[4]  M. López-Quelle,et al.  Spin-orbit splitting in nonrelativistic and relativistic self-consistent models , 2000, nucl-th/0003010.

[5]  J. Dobaczewski,et al.  Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic-oscillator basis. (III) HFODD (v1.75r): a new version of the program , 2000, nucl-th/0003003.

[6]  I. Ragnarsson,et al.  Termination of rotational bands: disappearance of quantum many-body collectivity , 1999 .

[7]  Walter Kohn,et al.  Nobel Lecture: Electronic structure of matter-wave functions and density functionals , 1999 .

[8]  D. Bazzacco,et al.  Band termination in the N = Z Odd-Odd Nucleus 46 V , 1999, nucl-ex/9907001.

[9]  W. Nazarewicz,et al.  Shape coexistence and the effective nucleon-nucleon interaction , 1999, nucl-th/9903037.

[10]  B. A. Brown,et al.  New Skyrme interaction for normal and exotic nuclei , 1998 .

[11]  R. Schaeffer,et al.  A Skyrme parametrization from subnuclear to neutron star densities Part II. Nuclei far from stabilities , 1998 .

[12]  W. Greiner,et al.  Odd nuclei and single-particle spectra in the relativistic mean-field model , 1998 .

[13]  P. Heenen,et al.  Onset of T=0 pairing and deformations in high spin states of the N=Z nucleus 48Cr , 1998, nucl-th/9802045.

[14]  R. Schaeffer,et al.  A Skyrme parametrization from subnuclear to neutron star densities , 1997 .

[15]  J. Dobaczewski,et al.  Erratum: Time-odd components in the mean field of rotating superdeformed nuclei [Phys. Rev. C 52, 1827 (1995)] , 1997 .

[16]  J. Ginocchio.  Pseudospin as a relativistic symmetry , 1996, nucl-th/9611044.

[17]  Paul-Gerhard Reinhard,et al.  Nuclear effective forces and isotope shifts , 1995 .

[18]  Dobaczewski,et al.  Time-odd components in the mean field of rotating superdeformed nuclei. , 1995, Physical review. C, Nuclear physics.

[19]  Draayer,et al.  Pseudospin symmetry in nuclear physics. , 1992, Physical review letters.

[20]  F. Osterfeld.  Nuclear spin and isospin excitations , 1992 .

[21]  Jacques Treiner,et al.  Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line , 1984 .

[22]  A. Bohr,et al.  Pseudospin in Rotating Nuclear Potentials , 1982 .

[23]  J. Bartel,et al.  Towards a better parametrisation of Skyrme-like effective forces: A critical study of the SkM force , 1982 .

[24]  V. Bernard,et al.  Effects of collective modes on the single-particle states and the effective mass in 208Pb , 1980 .

[25]  Peter Edward Hodgson,et al.  Neutron densities and the single particle structure of several even-even nuclei from Ca40 to Pb208 , 1979 .

[26]  I. Hamamoto,et al.  Large effect of core polarization on the single-particle spectra around 208Pb , 1976 .

[27]  D. Brink,et al.  Time-dependent hartree-fock theory with Skyrme's interaction , 1975 .

[28]  P. Quentin,et al.  Nuclear ground-state properties and self-consistent calculations with the skyrme interaction: (I). Spherical description , 1975 .

[29]  Joseph Callaway,et al.  Inhomogeneous Electron Gas , 1973 .

[30]  L. Elton,et al.  SINGLE-PARTICLE WAVE FUNCTIONS OF CALCIUM ISOTOPES , 1966 .

[31]  W. Kohn,et al.  Self-Consistent Equations Including Exchange and Correlation Effects , 1965 .

[32]  S. Kullander,et al.  Quasi-free proton-proton scattering in light nuclei at 460 MeV , 1962 .

[33]  R. Wyss,et al.  Mean-field description of high-spin states , 2004 .