Description of 2_3^+, 0_3^+Intruder States in 130Xe Nucleus by Mixing of Transitional Hamiltonian and O(6) Casimir Operator

In this paper, we tried to describe the , intruder stats in 130Xe nucleus in a configuration mixing framework. To this aim, we have used a transitional Hamiltonian based in the affine SU(1,1) lie algebra in the framework of interacting boson model. Also, we perturbed this Hamiltonian in the version 2 with adding a new term, the O(6) Casimir operator, due to the nature of these intruder states. The results confirm the accuracy of this mixing configuration in the description of all considered energy levels and especially, the intruder states. Also, these results suggest same approach with adding other Casimir operators of different symmetry chains to extend the ability of this transitional Hamiltonian.

Keywords:

Transitional Hamiltonian., Affine algebra Casimir operator, Intruder state,

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[1] Heyde K., Jolie J., Phase transitions versus shape coexistence, Physical Review. C., 69(2004) 054304-36.
[2] Heyde K., Wood J., Shape coexistence in atomic nuclei, Reviews of Modern Physics., 83 (2011)1467-1655.
[3] Garcia-Ramos J.,Heyde K., Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing, Physical Review. C, 89 (2014) 014306-48.
[4] Nomura K., Otsuka T., Shape coexistence in the microscopically guided interacting boson model, Journal of Physics. G.,43 (2016) 024008- 2.
[5] Fossion F.,Shape Coexistence in the Lead Isotopes Using Algebraic Models, Acta Physica Polonica. B., 36 (2005) 1351-1360.
[6] Fossion R., Heyde K., Intruder bands and configuration mixing in lead isotopes, Physical Review.C., 67 (2003) 024306.
[7] Van Isacker P., Particle-hole excitations in the interacting boson model (IV). The U(5)-SU(3) coupling, Nuclear Physics. A. ,651(1999) 31-55
[8] Garcia-Ramose J.E.,Heyde K., Disentangling the nuclear shape coexistence in even-even Hg isotopes using the interacting boson model, EPJ Web of Conferences., 93 (2015) 01004.
[9] Chuu D.S., Hsieh S.T., Structure of even-even Dy nuclei in the interacting boson model with two-quasiparticle states, Physical Review.C.,38 (1988) 960-968.
[10] McCutchan E.A., A piece in the Pt intruder state puzzle, Physics of Atomic Nuclei., 70 (2007) 1587-1591.
[11] Garcia-Ramos J.E., Hellemans V., Heyde K., Platinum nuclei: Concealed configuration mixing and shape coexistence, Physical Review.C., 84 (2011) 12-45.
[12] Garcia-Ramos J.E.,Heyde K., Comparing the Interacting Boson Model with configuration mixing and the extended consistent-Q formalism, Nuclear Physics.A., 825 (2009) 39-79.
[13] Delion D.S., Florescu A., Microscopic Description of Alpha Decay to Intruder 0+2 States in Pb, Po, Hg, and Pt Isotopes, Physical Review Letters., 74(1995) 15-20.
[14] Jolie J., Heyde K., Consistent description of intruder states, Physical Review.C., 42 (1990) 1-6.
[15] Soramel F.,Farenea E., Study of very neutron deficient nuclei 178Pt and 181Au, The European Physical. J. A., 4 (1999) 17-19.
[16] Oros A.M., Shape coexistence in the light Po isotopes, Nuclear Physics. A., 645 (1999) 107-142.
[17] Heyde K., Van Isaker P., A shell-model interpretation of intruder states and the onset of deformation in even-even nuclei, Physics Letters. B., 155 (1985) 303-308.
[18] Bijnens N.,Intruder states and the onset of deformation in the neutron-deficient even-even polonium isotopes, Physical Review Letters., 75 (1995) 18-25.
[19] Garcia-Ramos J.E., Heyde K., A study of the even-even Hg isotopes using the interacting boson model with configuration mixing, Physical Review.C., 89 (2014) 172-200.
[20]Heyde K., A shell-model description of 0+ intruder states in even-even nuclei, Nuclear Physics. A., 466 (1987) 189-226.
[21] Xu Y., Krane K.S., Gummin M.A., Shape coexistence and electric monopole transitions in 184Pt, Physical Review Letters ., 68 (1992) 3853-3856.
[22] Pan F., Dongkang L., Exactly solvable configuration mixing scheme in the vibrational limit of the interacting boson model, Physical Review. C, 97 (2018) 1-10.
[23]Pan F., Draayer J.P., New algebraic solutions for SO (6)↔ U (5) transitional nuclei in the interacting boson model, Nuclear Physics .A., 636 (1998) 156-168.
[24]Pan F., Draayer J.P., Algebraic solutions of an sl-boson system in the U(2l + 1) ⟷ O(2l + 2) transitional region , Journal of Physics A: Mathematical and General., 35 (2002) 7173-7185.
[25]National Nuclear Data Center,(Brookhaven National laboratory), chart of nuclides, (http://www.nndc.bnl.gov/chart/reColor.jsp?newColor=dm)
[26]Sergeenkov V., Nuclear Data sheets for A=130, Nuclear Data Sheets., 58 (1989) 765-870.
[27] Jalili A., Pan F., Nuclear structure and band mixing in 194Pt, Physical Review. C.,103 (2021) 1-8.
[28]Jalili A.,Sabri H., Properties of giant dipole resonances within an extended pairing model with a focus on spectral statistics , Physical Review. C .,104 (2021) 024332-2.
[29]Heyde K., Intruder analog states: New classification of particle-hole excitations near closed shells, Physical Review. C., 46 (1992) 541-560.
[30]Sabri H., Jahangiri Z., Investigation of shape coexistence in 118–128Te isotopes, Nuclear Physics. A., 946 (2016) 11-28.
[31] Sabri H., A theoretical study of energy spectra and two-neutron separation energies of 106–122Cd isotopes in the transitional region of IBM, The European Physical Journal Plus., 129 (2014) 138-149.
[32]Fathi H., Investigation of shape phase transition in the U(5) ↔ SO(6) transitional region by catastrophe theory and critical exponents of some quantities, International Journal of Modern Physics .E., 23 (2014) 1-15.
[33]Subber A.,Hamilton W.D.,An application of the dynamic deformation model to the tellurium isotopes, Journal of Physics G: Nuclear Physics.,13 (1987) 161-173.
[34]Walker P.M., E0 transitions in the light tellurium isotopes: evidence for intruder states, Journal of Physics G: Nuclear Physics, 13(1987) 95-103.
[35]Iachello F.,Arima A., The Interacting Boson Model, Cambridge University Press, Cambridge., (1987) 19-98.
[36]Casten R.F.,Zamfir N.V., Evidence for a Possible E(5) Symmetry in 134Ba , Physical Review Letters., 85 (2000) 3584-6.
[37] Paul E.S., Shape coexistence in 132Ba, Physical Review. C., 40 (1989) 1255-1264.
[38]Arima A., Iachello F., Interacting Boson Model of Collective States I The Vibrational Limit, Annals of Physics.,281 (2000) 2-64.
[39]Casten R.F., Warner D.D., The interacting boson approximation, Reviews of Modern Physics., 60 (1988) 389-465.
[40]Dieperink A. E. L., Scholten O., Iachello F., Classical Limit of the Interacting-Boson Model, Physical Review Letters, 44 (1980) 1747-1750.