Mean-field calculations with the Gogny force including the Tensor force Daisuke ABE Department of Physics, University of Tokyo JSPS Research Fellow and Takaharu OTSUKA Center for Nuclear Study RIKEN August 2nd 2006 KEK
Motivation To understand exotic phenomena appearing in unstable nuclei To investigate, in particular, Tensor-force effect on single-particle energies (SPE) because its effect on them is quite different from that of the LS force August 2nd 2006 KEK
Brief description of the Tensor Force originates from the p- (and r-) meson exchange. plays an important role in nuclear properties, such as binding energies. can influence on SPE in the different way compared to the LS force. August 2nd 2006 KEK
Monopole Contribution of the Tensor Force Repulsive j> j’> or j< j’< Attractive j> j’< or j< j’> 1g9/2 1f5/2 1f7/2 1h11/2 1g7/2 August 2nd 2006 KEK
Tensor Gogny Interaction D1S J. F. Berger, et al., Nucl. Phys. A428 (1984) 23c GT2 T. Matsuo, Ph.D. Thesis, University of Tokyo (2004) Central Spin-orbit Density- dependent Tensor August 2nd 2006 KEK
Radial dependences of the tensor force in various interactions August 2nd 2006 KEK
One-body potential Proton Neutron August 2nd 2006 KEK
Results Z=8 0d3/2, 0d5/2 N=28 0f5/2, 0f7/2, 1p1/2, 1p3/2 Z=28 0f5/2, 0f7/2 Z=50 0h11/2, 0g7/2 (Z=82 0i13/2, 0h9/2) Z=114 0j15/2 August 2nd 2006 KEK
17F and 23F S. Michimasa et al., CNS-REP-67 5.00 EXP:-0.94 MeV 3/2+ 4.06 D1S:+1.89 GT2:- 0.56 1.78 1/2+ 0.50 0.00 0.00 5/2+ 17F 23F August 2nd 2006 KEK
Z=8 isotopes p0d3/2 p0d5/2 D1S GT2 n0d5/2 n1s1/2 n0d5/2 n1s1/2 August 2nd 2006 KEK
47Ar and 49Ca f:-0.875 MeV p:-0.890 MeV 49Ca 47Ar L. Gaudefroy et al. 5/2- 1/2- 3/2- f:-0.875 MeV p:-0.890 MeV 7/2- 49Ca August 2nd 2006 KEK 47Ar
N=28 isotones n0f5/2 n0f7/2 n1p1/2 n1p3/2 GT2 D1S p0d3/2 p0d3/2 August 2nd 2006 KEK
68Ni and 78Ni (Neutron SPE) T. Matsuo, Ph. D 68Ni and 78Ni (Neutron SPE) T. Matsuo, Ph. D. Thesis, University of Tokyo (2004) 1f7/2 1f5/2 40 50 Neutron number Energy [MeV] 1g9/2 1g9/2 August 2nd 2006 KEK
Proton SPE T. Matsuo, Ph. D. Thesis, University of Tokyo (2004) Energy [MeV] 1f7/2 40 50 40 50 1g9/2 1g9/2 August 2nd 2006 KEK Neutron number
Z=28 isotopes n0f5/2 n0f7/2 p0f5/2 p0f7/2 D1S GT2 n0g9/2 n0g9/2 August 2nd 2006 KEK
Variation of the gap between 1f5/2 and 1f7/2 (N= 40-50) August 2nd 2006 KEK
Density and spin-orbit potential 1f5/2 1f7/2 August 2nd 2006 KEK
51Sb isotopes (Proton SPE) J. P. Schiffer et al. , Phys. Rev. Lett Energy [MeV] 1g7/2 64 70 82 Neutron number August 2nd 2006 KEK
Sb isotopes (Proton SPE) J. P. Schiffer et al. , Phys. Rev. Lett August 2nd 2006 KEK
Z=50 isotopes p0h11/2 p0g7/2 n0h11/2 n0g7/2 D1S GT2 n0h11/2 n0h9/2 August 2nd 2006 KEK
Z=82 isotopes p0h9/2 p0i13/2 GT2 D1S n0i13/2 n0i13/2 Exp: -1.5 MeV (N=126->100) (Hurstel et al., Eur. Phys. J. A15, 329) August 2nd 2006 KEK
Super-heavy element p0i13/2 p1f7/2 GT2 D1S n0j15/2 n0j15/2 August 2nd 2006 KEK
Summary Tensor force can influence on SPE in the different way compared to the LS force. For example, Z=8, N=28, Z=28, Z=50, Z=82, Z=114 Pairing, deformation etc. August 2nd 2006 KEK