Note on the Spin-Orbit Coupling and Tensor Forces

Takagi, Shin; Watari, Watarô; Yasuno, Masaru

doi:10.1143/ptp.22.549

Cited by 10 publications

(10 citation statements)

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“…We applied the extended mean-field model to closed-subshell oxygen isotopes including neutron-rich ones [43] and found that the potential energy from the tensor force is comparable to that from the LS force. The importance of the 2p2h tensor correlation for ls splitting is indicated in some studies [42,[44][45][46]. It is interesting to study the effect of the 2p2h tensor correlation on the ls splitting with our extended mean-field model.…”

Section: Resultsmentioning

confidence: 83%

Effect of the tensor force in the exchange channel on the spin-orbit splitting inF23in the Hartree-Fock framework

2007

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We study the spin-orbit splitting (ls splitting) for the proton d orbits in 23 F in the Hartree-Fock framework with the tensor force in the exchange channel. 23 F has one more proton around the neutron-rich nucleus 22 O. A recent experiment indicates that the ls splitting for the proton d orbits in 23 F is reduced from that in 17 F. Our calculation shows that the ls splitting in 23 F becomes smaller by a few MeV because of the tensor force. This effect comes from the interaction between the valence proton and occupied neutrons in the 0d 5/2 orbit through the tensor force and makes the ls splitting in 23 F close to the experimental data.

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Section: Resultsmentioning

confidence: 83%

Effect of the tensor force in the exchange channel on the spin-orbit splitting inF23in the Hartree-Fock framework

2007

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“…This is an invited talk presented by H. Toki in International Workshop on Physics at JHF held through March [14][15][16][17][18][19][20][21] 2002 in Adelaide. H.T.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Relativistic Mean-Field Theory With Pion in Finite Nuclei

Toki

Sugimoto

Ikeda

2002

Physics at the Japan Hadron Facility

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First we review the present relativistic mean-field theory from the view point of the missing pion contribution. Then we discuss the role played by pions in hadrons and light nuclei. We introduce the interesting experimental data on pionic states taken at RCNP. These data seem to suggest the occurrence of surface pion condensation in finite nuclei. We show the results of the relativistic mean-field theory with the pion. We find that the pion mean-field becomes finite with a reasonable parameter choice. A qualitative discussion is presented on the consequence of a finite pion mean-field on Gamow-Teller transitions and spin response functions as well as other quantities.

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“…The almost exact calculations with very large model spaces exhibit a large attractive energy comes from the tensor force [2,3]. The tensor force is inferred to be responsible for about a half of the single-particle spin-orbit splitting in light nuclei [4,5,6].…”

Section: Introductionmentioning

confidence: 99%

Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method

2007

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Study of the effect of the tensor correlation in oxygen isotopeswith the charge-and parity-projected Hartree-Fock method AbstractRecently, we developed a mean-field-type framework which treats the correlation induced by the tensor force. To exploit the tensor correlation we introduce single-particle states with the parity and charge mixing. To make a total wave function have a definite charge number and a good parity, the charge number and parity projections are performed. Taking a variation of the projected wave function with respect to single-particle states a Hartree-Fock-like equation, the charge-and parityprojected Hartree-Fock equation, is obtained. In the charge-and parity-projected Hartree-Fock method, we solve the equation selfconsistently. In this paper we extend the charge-and parityprojected Hartree-Fock method to include a three-body force, which is important to reproduce the saturation property of nuclei in mean-field frameworks. We apply the charge-and parity-projected Hartree-Fock method to sub-closed-shell oxygen isotopes ( 14 O, 16 O, 22 O, 24 O, and 28 O) to study the effect of the tenor correlation and its dependence on neutron numbers. We obtain reasonable binding energies and matter radii for these nuclei. It is found that relatively large energy gains come from the tensor force in these isotopes and there is the blocking effect by occupied neutron orbits on the tensor correlation. *

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Note on the Spin-Orbit Coupling and Tensor Forces

Cited by 10 publications

References 0 publications

Effect of the tensor force in the exchange channel on the spin-orbit splitting inF23in the Hartree-Fock framework

Effect of the tensor force in the exchange channel on the spin-orbit splitting inF23in the Hartree-Fock framework

Relativistic Mean-Field Theory With Pion in Finite Nuclei

Study of the effect of the tensor correlation in oxygen isotopes with the charge- and parity-projected Hartree-Fock method

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