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Enerji Spektrumları ve Quadrupole Geçiş olasılıklarının 190 Hg'nin Teorik Tanımı

Year 2018, Volume: 39 Issue: 2, 389 - 398, 29.06.2018

Zahra Jahangırı Tazekand , Hadi Sabrı Mohammad Ali Mohammadı

https://doi.org/10.17776/csj.371319

Abstract

Bu
yazıda, 190Hg çekirdeğindeki iki farklı yapının, deforme ve küresel şekillerin
bir arada varlığını düşündük. Bu amaçla, bu nükleusun enerji spektrumları ve
kuadrupol geçiş olasılıklarını belirledik. Afin yalan cebirine dayanan geçişli
bir etkileşimli Boson Modeli Hamiltoniyeni, şekil bir arada bulunmanın
tanımlanması için yeni bir genel teknik sağlamak amacıyla kullanılmıştır.
Parametrik olmayan (genel ölçek faktörlerine kadar) teorik tahminlere yönelik
tahminlerin, deneysel eşlerle iyi bir uyum içinde olduğu bulunmuştur. Ayrıca,
sonuçlarımız sırasıyla düzenli ve saldırgan konfigürasyonların tanımlanması
için O (6) ve U (5) dinamik simetrilerin bir kombinasyonunu sunmaktadır.

Keywords

Şekil bir arada var olma etkileşimli bozon model yalancı yalan cebiri deforme ve küresel şekil enerji spektrumları dört kutuplu geçiş

References

  • [1]. Garcia-Ramos G.and Heyde K.,Comparing the Interacting Boson Model With Configuration Mixing and the Extended Consistent-Qformalism, Nucl. Phys.A., 82 (2009) 39.
  • [2]. Garcia-Ramos G.and Hellemans V.and Heyde K., Concealed Configuration mixing and shape coexistence, Phys.Rev.C., 84 ( 2011) 014331.
  • [3]. Dracoulis G D.,Shape coexistence in very neutron deficient Pt isotopes, Nucl.phys.G.,12 (1986) 97-103.
  • [4]. Fossion R.and Hellemans V., Shape coexistence in the Lead isotopes using Algebraic Models,Acta.Phsica. Polonica.B.,36 ( 2005) 4.
  • [5]. Garcia-Ramos G E.and Heyde K.,Nuclear Shape Coexistence a study of the even-even Hg isotopes,Phy .Rev.C., 89 (2014) 014306.
  • [6]. Poves A.,Shape Coexistence the Shell Model view, J.Phys.G.Nucl.part.Phys., 43 (2016) 024010.
  • [7]. Stachel G.and Isacker p.and Heyde K., Interpretation of the A=90 transitional region in the framework of the interacting Boson Model,Phys.Rev.C., 25 (1982) 1.
  • [8]. Larabee A J.and Carpenter M P.and Riedinger L ., Shape coexistence and alignment processes in the Pt and Au region,Phys.Lett.B.,169 (1986) 1.
  • [9]. Heyde K.and Meyer R A.,Monopole Strength and Shape coexistence, Phys.Rev.C., 42 (1990) 2.
  • [10]. Doung H T.and Pinard G.and Liberman S.,Shape transition in ne utron deficient Pt isotopes, Phys.Lett.B., 217 (1989) 4.
  • [11]. King S L.and Simpson G., First observation of excited state in the neutron deficient nuclei, Phys. Letters. B., 443 (1998) 82-88
  • [12]. Heyde K.and Meyer R A.,Monopole Strength as a measure of nuclear Shape mixing , Phys.Rev.C., 37 (1988) 5.
  • [13]. Frank A.and Van Isacker P.andVargas C E., Shape coexistence and phase transition in the Platinum isotope, Phys. Rev. C., 69 (2004) 024303.
  • [14]. Andreyev A N.and Huyse M.,The discovery of a prolate oblate Spherical Shape triple of spin +0 state,Nucl.Phys.A ., 682 (2001) 482.
  • [15]. Morales I O.and Vargas C E.and Frank A.,Shape coexistence in the neutron deficient Pt isotopes in a configuration mixing IBM, Nucl.Phys., 73 (2004) 54.
  • [16]. Xu Y.and Krane K S.and Gummin M A.,shape coexistence and Eletric Monopole Transition in Pt, Phys.Rev.Lett., 68 (1992) 26.
  • [17]. Otsuka T.and Tsunoda Y.,The role of shell evolution in shape coexistence, J. Phys. G.Nucl.Part.Phys.,43 (2016) 024.
  • [18]. Neyens G., Shape coexistence in the N=19isotones,J.Phys.G.Nucl.Part.Phys., 43 (2016) 024007
  • [19]. Li Z P.and Niksic T.and Vretenar D.,Coexistenc of nuclear Shapes, J.Phys.G.Nucl.Part.Phys.,43 (2016 )22.
  • [20]. Gorgen A.and Korten W.,Coulomb excitation studies of shape coexistence in atomic nuclei J. Phys. G. Nucl. Part. Phys., 43 (2016) 18.
  • [21]. Garrett P E., Shape coexistence at low spin in the Z=50 region, Phys.G.Nucl.Part.Phys.,43 (2016) 36.
  • [22]. Lipska K W.and Gaffney L P., Unique and complementary information on shape coexistence in the neutron deficient pb region from coulomb excitation, J. Phys. G. Nucl. Part. Phys., 43 (2016) 024012.
  • [23]. Feng Pan G P.and Draayer G., New algebraic solution for SO(6)-U(5) transitional nuclei in the interacting Boson model,Nucl. Phys. A., 636 (1998) 156.
  • [24]. Feng Pan G P.and Draayer G., Algebraic solution of SL-Boson system in U(2L+1)-O(2L+2) transitional region,Phys. A. Math. Gen.,35( 2002) 7173
  • [25]. Soramel F.and Bednarczyk P., Study of very neutron deficient nuclei , Eur.Phys.J.A.,4 ( 1999) 17
  • [26]. Oros A M.and Heyde K., Shape coexistence in the light Po isotopes, Nucl.Phys.A., 645 (1999) 107
  • [27]. Heyde K.and Van Isaker P., A shell model interpretation of intruder states and the onset of deformation in even – even nuclei , phys.Lett.B.,155 (1985) 5
  • [28]. Bijnens N.and Decrock P., Intruder states and the onset of deformation in the neutron deficient even-even polonium isotopes, Phys.Rev.Lett., 75 (1995) 25
  • [29]. Fossion R.and Heyde K.,Intruder bands and configuration mixing in Lead isotopes, Phys. Rev. C., 67 (2003) 024306
  • [30]. Hinohara N.and Nakatsukasa T Microscopic derivation of the quadrupole collective Hamiltonian for shape coexistence mixing dynamics, Phys.Rev.C., 80 (2009) 014305
  • [31]. ,B.Singh.,Nuclear Data sheets for A=190, Nucl.Data Sheets .,99 (2003) 275
  • [32]. Duval P D.and Barrett B R., configuration mixing in the interacting Boson model, Phys.Lett.B., 100 (1980) 3.
  • [33]. Dickmann F.and Dietrich K., Coexistence and mixing of Spherical and deformed states, Z. Physik., 271 (1974) 417.
  • [34]. Beraud R.and Meyer M., Band crossing in 186 Hg,Nucl.Phys.A., 284(1977)221.
  • [35]. Nomura K.and Otsuka T., Shape coexistence in the microscopically guided interacting Boson model, Jurnal of Physics G. 43 (2016) 2
  • [36]. Duval P D.and Barrett B R.,Quantitative description of configuration mixing in the interacting Boson model, Nucl.Phys.A., 376 (1982) 213.

Theoretical Description of Energy Spectra and Quadrupole Transition Probabilities of 190 Hg

Year 2018, Volume: 39 Issue: 2, 389 - 398, 29.06.2018

Zahra Jahangırı Tazekand , Hadi Sabrı Mohammad Ali Mohammadı

https://doi.org/10.17776/csj.371319

Abstract



In this paper, we have considered the
coexistence of two quite different structures, the deformed and spherical
shapes in 190Hg nucleus. To this aim, we have determined the energy
spectra and quadrupole transition probabilities of this nucleus. A transitional
Interacting Boson Model Hamiltonian which are based on affinelie algebra have been used to provide a new
general technique for description of shape coexistence. Parameter free (up to
overall scale factors) predictions for theoretical predictions are found to be
in good agreement with experimental counterparts. Also, our results offer a
combination of O(6) and U(5) dynamical symmetries for description of regular
and intruder configurations, respectively.

Keywords

quadrupole transition Shape coexistence interacting boson model affine lie algebra deformed and spherical shape energy spectra quadrupole transition

References

  • [1]. Garcia-Ramos G.and Heyde K.,Comparing the Interacting Boson Model With Configuration Mixing and the Extended Consistent-Qformalism, Nucl. Phys.A., 82 (2009) 39.
  • [2]. Garcia-Ramos G.and Hellemans V.and Heyde K., Concealed Configuration mixing and shape coexistence, Phys.Rev.C., 84 ( 2011) 014331.
  • [3]. Dracoulis G D.,Shape coexistence in very neutron deficient Pt isotopes, Nucl.phys.G.,12 (1986) 97-103.
  • [4]. Fossion R.and Hellemans V., Shape coexistence in the Lead isotopes using Algebraic Models,Acta.Phsica. Polonica.B.,36 ( 2005) 4.
  • [5]. Garcia-Ramos G E.and Heyde K.,Nuclear Shape Coexistence a study of the even-even Hg isotopes,Phy .Rev.C., 89 (2014) 014306.
  • [6]. Poves A.,Shape Coexistence the Shell Model view, J.Phys.G.Nucl.part.Phys., 43 (2016) 024010.
  • [7]. Stachel G.and Isacker p.and Heyde K., Interpretation of the A=90 transitional region in the framework of the interacting Boson Model,Phys.Rev.C., 25 (1982) 1.
  • [8]. Larabee A J.and Carpenter M P.and Riedinger L ., Shape coexistence and alignment processes in the Pt and Au region,Phys.Lett.B.,169 (1986) 1.
  • [9]. Heyde K.and Meyer R A.,Monopole Strength and Shape coexistence, Phys.Rev.C., 42 (1990) 2.
  • [10]. Doung H T.and Pinard G.and Liberman S.,Shape transition in ne utron deficient Pt isotopes, Phys.Lett.B., 217 (1989) 4.
  • [11]. King S L.and Simpson G., First observation of excited state in the neutron deficient nuclei, Phys. Letters. B., 443 (1998) 82-88
  • [12]. Heyde K.and Meyer R A.,Monopole Strength as a measure of nuclear Shape mixing , Phys.Rev.C., 37 (1988) 5.
  • [13]. Frank A.and Van Isacker P.andVargas C E., Shape coexistence and phase transition in the Platinum isotope, Phys. Rev. C., 69 (2004) 024303.
  • [14]. Andreyev A N.and Huyse M.,The discovery of a prolate oblate Spherical Shape triple of spin +0 state,Nucl.Phys.A ., 682 (2001) 482.
  • [15]. Morales I O.and Vargas C E.and Frank A.,Shape coexistence in the neutron deficient Pt isotopes in a configuration mixing IBM, Nucl.Phys., 73 (2004) 54.
  • [16]. Xu Y.and Krane K S.and Gummin M A.,shape coexistence and Eletric Monopole Transition in Pt, Phys.Rev.Lett., 68 (1992) 26.
  • [17]. Otsuka T.and Tsunoda Y.,The role of shell evolution in shape coexistence, J. Phys. G.Nucl.Part.Phys.,43 (2016) 024.
  • [18]. Neyens G., Shape coexistence in the N=19isotones,J.Phys.G.Nucl.Part.Phys., 43 (2016) 024007
  • [19]. Li Z P.and Niksic T.and Vretenar D.,Coexistenc of nuclear Shapes, J.Phys.G.Nucl.Part.Phys.,43 (2016 )22.
  • [20]. Gorgen A.and Korten W.,Coulomb excitation studies of shape coexistence in atomic nuclei J. Phys. G. Nucl. Part. Phys., 43 (2016) 18.
  • [21]. Garrett P E., Shape coexistence at low spin in the Z=50 region, Phys.G.Nucl.Part.Phys.,43 (2016) 36.
  • [22]. Lipska K W.and Gaffney L P., Unique and complementary information on shape coexistence in the neutron deficient pb region from coulomb excitation, J. Phys. G. Nucl. Part. Phys., 43 (2016) 024012.
  • [23]. Feng Pan G P.and Draayer G., New algebraic solution for SO(6)-U(5) transitional nuclei in the interacting Boson model,Nucl. Phys. A., 636 (1998) 156.
  • [24]. Feng Pan G P.and Draayer G., Algebraic solution of SL-Boson system in U(2L+1)-O(2L+2) transitional region,Phys. A. Math. Gen.,35( 2002) 7173
  • [25]. Soramel F.and Bednarczyk P., Study of very neutron deficient nuclei , Eur.Phys.J.A.,4 ( 1999) 17
  • [26]. Oros A M.and Heyde K., Shape coexistence in the light Po isotopes, Nucl.Phys.A., 645 (1999) 107
  • [27]. Heyde K.and Van Isaker P., A shell model interpretation of intruder states and the onset of deformation in even – even nuclei , phys.Lett.B.,155 (1985) 5
  • [28]. Bijnens N.and Decrock P., Intruder states and the onset of deformation in the neutron deficient even-even polonium isotopes, Phys.Rev.Lett., 75 (1995) 25
  • [29]. Fossion R.and Heyde K.,Intruder bands and configuration mixing in Lead isotopes, Phys. Rev. C., 67 (2003) 024306
  • [30]. Hinohara N.and Nakatsukasa T Microscopic derivation of the quadrupole collective Hamiltonian for shape coexistence mixing dynamics, Phys.Rev.C., 80 (2009) 014305
  • [31]. ,B.Singh.,Nuclear Data sheets for A=190, Nucl.Data Sheets .,99 (2003) 275
  • [32]. Duval P D.and Barrett B R., configuration mixing in the interacting Boson model, Phys.Lett.B., 100 (1980) 3.
  • [33]. Dickmann F.and Dietrich K., Coexistence and mixing of Spherical and deformed states, Z. Physik., 271 (1974) 417.
  • [34]. Beraud R.and Meyer M., Band crossing in 186 Hg,Nucl.Phys.A., 284(1977)221.
  • [35]. Nomura K.and Otsuka T., Shape coexistence in the microscopically guided interacting Boson model, Jurnal of Physics G. 43 (2016) 2
  • [36]. Duval P D.and Barrett B R.,Quantitative description of configuration mixing in the interacting Boson model, Nucl.Phys.A., 376 (1982) 213.
There are 36 citations in total.

Details

Primary Language English
Journal Section Natural Sciences
Authors

Zahra Jahangırı Tazekand

Hadi Sabrı

Mohammad Ali Mohammadı

Publication Date June 29, 2018
Submission Date December 26, 2017
Acceptance Date March 5, 2018
Published in Issue Year 2018Volume: 39 Issue: 2

Cite

APA Jahangırı Tazekand, Z., Sabrı, H., & Mohammadı, M. A. (2018). Theoretical Description of Energy Spectra and Quadrupole Transition Probabilities of 190 Hg. Cumhuriyet Science Journal, 39(2), 389-398. https://doi.org/10.17776/csj.371319