Extended shell model calculation for even N = 82 isotones with a realistic effective interaction

Holt, A.; Engeland, T.; Osnes, E.; Hjorth‐Jensen, M.; Suhonen, J.

doi:10.1016/s0375-9474(97)00123-1

Cited by 40 publications

(51 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Clearly, the effective interaction which is used, and its pertinent model space, approximations made in the many-body formalism etc., will influence the extraction of effective charges. This no- [25] and the theoretical estimates of Ref. [21].…”

supporting

confidence: 80%

Shell-model studies of the proton drip line nucleus106Sb

2000

Self Cite

View full text Add to dashboard Cite

We present results of shell model calculations for the proton drip line nucleus 106 Sb. The shell model calculations were performed based on an effective interaction for the 2s1d0g 7/2 0h11 11/2 shells employing modern models for the nucleon-nucleon interaction. The results are compared with the recently proposed experimental yrast states. A good agreement with experiment is found lending support to the experimental spin assignements. PACS number(s): 21.60.Cs, 27.60.+j Considerable attention is at present being devoted to the experimental and theoretical study of nuclei close to the limits of stability. Recently, heavy neutron deficient nuclei in the mass regions of A = 100 have been studied, and nuclei like 100 Sn and neighboring isotopes have been identified [1][2][3]. Moreover, the proton drip line has been established in the A = 100 and A = 150 regions [4] and nuclei like 105 Sb and 109 I have recently been established as ground-state proton emitters [5,6]. The next to drip line nucleus for the antimony isotopes,106 Sb with a proton separation energy of ∼ 400 keV, was studied recently in two experiments and a level scheme for the yrast states was proposed in Ref. [7].The aim of this work is thus to see whether shell-model calculations, which employ realistic effective interactions based on state of the art models for the nucleon-nucleon interaction, are capable of reproducing the experimental results for systems close to the stability line. Before we present our results, we will briefly review our theoretical framework. In addition, we present results for effective proton and neutron charges based on perturbative manybody methods. These effective charges will in turn be used in a shell-model analysis of E2 transitions.The aim of microscopic nuclear structure calculations is to derive various properties of finite nuclei from the underlying hamiltonian describing the interaction between nucleons. We derive an appropriate effective two-body interaction for valence neutrons and protons in the singleparticle orbits 2s 1/2 , 1d 5/2 , 1d 3/2 , 0g 7/2 and 0h 11/2 . As closed shell core we use 100 Sn. This effective two-particle interaction is in turn used in the shell model model study of 106 Sb. The shell model problem requires the solution of a real symmetric n × n matrix eigenvalue equatioñwith k = 1, . . . , K. At present our basic approach to finding solutions to Eq. (1) is the Lanczos algorithm, an iterative method which gives the solution of the lowest eigenstates. The technique is described in detail in Ref.[8], see also Ref. [9]. To derive the effective interaction, we employ a perturbative many-body scheme starting with the free nucleonnucleon interaction. This interaction is in turn renormalized taking into account the specific nuclear medium.The medium renormalized potential, the so-called Gmatrix, is then employed in a perturbative many-body scheme, as detailed in Ref.[10] and reviewed briefly below. The bare nucleon-nucleon interaction we use is the charge-dependent meson-exchange model of Machleid...

show abstract

supporting

confidence: 80%

Shell-model studies of the proton drip line nucleus106Sb

2000

Self Cite

View full text Add to dashboard Cite

show abstract

“…[12] and [13] the pp Hamiltonian based upon the Bonn-A G matrix was used to study the N = 82 isotones. The energy levels obtained with this Hamiltonian agreed with experiment to about 100 keV.…”

Section: Shell-model Hamiltonianmentioning

confidence: 99%

Erratum: Magnetic moments of the21+states aroundSn132[

Brown¹,

Stone²,

Stone³

et al. 2005

Phys. Rev. C

Self Cite

174

View full text Add to dashboard Cite

Development of neutron-rich radioactive beams at the Holifield Radioactive Ion Beam Facility has stimulated experimental and theoretical activity in heavy Sn and Te isotopes. Recently, the g factor of the first 2 + state in 132 Te has been measured. We report here new shell-model calculation of magnetic moments for selected Sn and Te isotopes. The residual interaction is based on the CD-Bonn renormalized G matrix. Single-particle spin and orbital effective g factors are evaluated microscopically including core polarization and meson exchange currents effects.

show abstract

“…A comprehensive study of the even N = 82 isotones was carried out by us in a previous work [9]. There a comparison was made between the QRPA and the results obtained with an extensive shell model calculation.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [9] one of the aims was to calculate an effective interaction based on modern mesonexchange models for the nucleon-nucleon (NN) potential. The first step in the derivation of an effective interaction V eff was to renormalize the NN potential through the so-called G-matrix.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Study of odd-mass N = 82 isotones with realistic effective interactions

et al. 1998

Self Cite

View full text Add to dashboard Cite

Abstract:The microscopic quasiparticle-phonon model, MQPM, is used to study the energy spectra of the odd Z = 53 − 63, N = 82 isotones. The results are compared with experimental data, with the extreme quasiparticle-phonon limit and with the results of an unrestricted 2s1d0g 7/2 0h 11/2 shell model (SM) calculation. The interaction used in these calculations is a realistic two-body G-matrix interaction derived from modern meson-exchange potential models for the nucleon-nucleon interaction. For the shell model all the two-body matrix elements are renormalized by theQ-box method whereas for the MQPM the effective interaction is defined by the G-matrix.

show abstract

Extended shell model calculation for even N = 82 isotones with a realistic effective interaction

Cited by 40 publications

References 31 publications

Shell-model studies of the proton drip line nucleus106Sb

Shell-model studies of the proton drip line nucleus106Sb

Erratum: Magnetic moments of the21+states aroundSn132[

Study of odd-mass N = 82 isotones with realistic effective interactions

Contact Info

Product

Resources

About