1 / 24

Consistent analysis of nuclear level structures and nucleon interaction data of Sn isotopes

Consistent analysis of nuclear level structures and nucleon interaction data of Sn isotopes . J.Y. Lee 1* , E. Sh. Soukhovitskii 2 , Y. D. Kim 1 , R. Capote 3 , S. Chiba 4 , and J. M. Quesada 5 1 Dep. of Physics, Sejong University, Korea

mikko
Download Presentation

Consistent analysis of nuclear level structures and nucleon interaction data of Sn isotopes

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Consistent analysis of nuclear level structures and nucleon interaction data of Sn isotopes J.Y. Lee1*, E. Sh. Soukhovitskii2, Y. D. Kim1, R. Capote3, S. Chiba4, and J. M. Quesada5 1Dep. of Physics, Sejong University, Korea 2Joint Institute for Energy and Nuclear Research, Belarus 3Nuclear Data Section, IAEA, Austria 4Advanced Science Research Center, JAEA, Japan 5Universidad de Sevilla, Spain * yeon@sejong.ac.kr

  2. Why Study Tin Isotopes ? • A main component ofnuclear reactor material. • A candidate material forsuperconducting magnetsin fusion reactors. • Energy splittings of yrast 0+, 2+, 4+ and 6+ levels are irregular. ⇒may suggest non-harmonic vibrationalstates? • Sn isotopes are single-closed-shell nuclei of Z=50. determine whether the calculations using a self-consistent CC optical model may produce different nuclear deformations for different external probes (protons, neutrons) for Sn isotopes.

  3. Present soft-rotator model - Lee et al., PRC 79, 064612 (‘09) - Soukhovitskii et al., PRC 72, 024604 (‘05) - Capote et al., PRC 72, 064610 (‘05)  - Soukhovitskii et al., J. Physics G 30, 905(‘04) • Non-axial quadrupole, octupole, hexadecapole deformations • γ-vibrations • Soft-octupoleand rigid hexadecapole deformations  Identify positive and negative parity bands, associated with octupole surface vibrations

  4. Calculations i) NuclearHamiltonian parametersto reproduce experimental collective levels (determined by fitting the calculated levels to the evaluated nuclear structure data ) ii) Contruct wave functions from these parameters. iii) CC optical Model calculations ⇒“ Self-consistent ! ”

  5. Present soft-rotator model ⇒ Quite successful in explaining • Nuclear collective level structures, • Nucleon interaction cross sections, • Proton non-elastic scattering cross sections, • γ -transition probabilities, for 12C, 28Si, 56Fe, 58Ni, & 238U. - Lee et al.,, PRC 79, 064612 (‘09) - Soukhovitskii et al, PRC 72, 024604 (‘05) - Capote et al, PRC 72, 064610 (‘05)  - Soukhovitskii et al., J. Physics G 30, 905(‘04) - Soukhovitskii et al., J. Nucl. Sci. Tech. 40, 69 (‘03), - Soukhovitskii et al., PRC 62, 044605(‘00), NPA 624, 305 (‘98).

  6. Goals Consistent description ofcollective nuclear level structures & nucleon scattering properties for 116,118,120Snusing the soft-rotator model. 50

  7. Description of soft-rotator model ASSUME : An excited stateof even-even non-sphericalnucleus can be described as a combination of rotation, β-quadrupole and octupole vibrations, & γ-quadrupole vibration. Multipole-deformed instant nuclear shape Deformations

  8. Hamiltonian of the soft-rotator model where,

  9. Description of soft-rotator model (Review) ASSUME : An excited stateof even-even non-sphericalnucleus can be described as a combination of rotation, β-quadrupole and octupole vibrations, & γ-quadrupole vibration. Multipole-deformed instant nuclear shape Deformations

  10. ASSUME : is small. Deformed nuclear potential :

  11. (Non-spherical) Dispersive Optical Potential

  12. Isospin-dependent dispersive CC OMP • Soukhovitskii et al, PRC 72, 024604 (‘05) Capote et al, PRC 72, 064610 (‘05)  Lane equations (“Lane consistent dispersive CC OMP”) • deal with (p,n) charge exchange reactions [to the elastic Isobaric Analogue States(IAS)]

  13. Applications to Sn isotopes For120Sn(32.59%), 118Sn (24.22%), 116Sn (14.54%), • Collective nuclear level structures • Total neutron & proton reaction cross sections • Nucleon elastic & inelastic scattering cross sections [(n,n),(n,n’),(p,p), (p,p’)] • Quasi-elastic (p,n) reactions.

  14. Collective level structures of 120Sn & 118Sn⇒All the levels are involved in CC calculations. EXP. CALCULATIONS EXP. CALCULATIONS (i) K≈0,nβ=nγ=0 (g.s. rotational band) (ii) K≈0,nβ=1,nγ=0 (iii) K≈2,nβ=0,nγ=0 (positive parity band) (iv) K≈0,nβ=0,nγ=0 (negative parity band) (v) K≈0,nβ=0,nγ=1

  15. 120Sn total neutron & proton reaction cross sections

  16. Neutron elastic scattering cross sections 116Sn(n,n) 118Sn(n,n) 120Sn(n,n)

  17. Neutron inelastic scattering cross sections 116Sn(n,n’)2+118Sn(n,n‘)2+120Sn(n,n’)2+

  18. Neutron inelastic scattering cross sections 116Sn(n,n’)3-118Sn(n,n‘)3-120Sn(n,n’)3-

  19. Proton elastic scattering cross sections 116Sn(p,p) 118Sn(p,p) 120Sn(p,p)

  20. Proton inelastic scattering cross sections 116Sn(p,p’)2+118Sn(p,p‘)2+120Sn(p,p’)2+

  21. Proton inelastic scattering off 3- state 116Sn(p,p’)3- 118Sn(p,p‘)3-120Sn(p,p’)3-

  22. Quasi-elastic (p,n) reactions 116Sn(p,n)118Sn(p,n) 120Sn(p,n)

  23. Deformation Parameters

  24. Summary For 116Sn, 118Sn, 120Sn, • Collective level structures • Total neutron cross sections • Nucleon elastic/inelastic scattering cross sections • Quasi-elastic (p,n) reactions. ⇒ well described within the soft-rotator model self-consistently. [ χ2 : 6.882(116Sn), 8.369(118Sn), 6.74(120Sn) ]

More Related