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Shell Closure N = 82 nuclei interpretation by the Cranked Nilsson-Strutinsky Model : 136-138Ce

Year 2018, , 118 - 126, 16.03.2018

Samra Kaım , A. Aboudı R. Belgharbı A. Laala

https://doi.org/10.17776/csj.359907

Abstract







A theoretical studying of nuclei in the shell
closure region (N =82), in particular cerium isotopes 136-138Ce, has
been made in the frame of macroscopic-microscopic, Cranked Nilsson Strutinsky
(CNS)model. Many nuclear properties have been calculated and discussed: the
single particle energy, the total energy, the liquid drop energy, the moments
of inertia, the deformation parameters, the nuclei shape,  and potential energy surfaces (PES) have been
presented. High spin rotational bands of these isotopes have been
studied and interpreted based on fixed configurations in the frame of CNS code.
A good agreement is found with the observed results for these nuclei in the
recent works.

Keywords

shell closure N=82 Cerium isotopes 136-138Ce Cranked Nilsson Strutinsky (CNS) rotational bands shape evolution deformation parameters

References

  • [1]. Ludziejewski J., Arnold H., High-spin levels in 137,139Ce and 139,141Nd evidence for hole-core coupling, Z. Phys. A, 281 (1977) 287- 308.
  • [2]. Möller P., Nix J. R., Myers W. D., and Swiatecki W. J., Nuclear ground-state masses and deformations, At. Data and Nucl. Data Tables ,59 (1995) 185- 381.
  • [3]. Chanda S., Bhattacharjee T., Bhattacharyya S., Mukherjee A., Basu S.K., Ragnarsson I., Bhowmik R.K., Muralithar S., Singh R.P., Ghugre S.S., Datta Pramanik U., Seven-quasiparticle bands in 139Ce, Phys. Rev. C, 79 (2009) 054332 (11 pages).
  • [4]. Kaim S., Petrache C. M., Gargano A., Itaco N., Zerrouki T., Leguillon R., Astier A., Deloncle I., Konstantinopoulos T., Régis J. M., Wilmsen D., Melon B., Nannini A., Ducoin C., Guinet D., and T. Bhattacharjee, High-spin spectroscopy of 139Ce, Phys. Rev. C, 91 (2015) 024318 (8 pages).
  • [5]. Carlsson B. G., Ragnarsson I., Calculating the nuclear mass in the very high angular momentum regime, Phys. Rev., C 74 (2006) 011302(R) (5 pages).
  • [6]. Lakshmi S., Jain H.C., Joshi P.K., Mazumdar I., Palit R., Jain A.K., Malik S.S., High spin structure of 136Ce, Nuclear Physics A, 761 (2005) 1-21.
  • [7]. Bhattacharjee T., Chanda S., Mukherjee A., Bhattacharyya S., and Basu S. K., Multi-quasiparticle bands in 137Ce, PHYSICAL REVIEW C, 78 (2008) 024304 (11 pages).
  • [8]. Bhattacharjee T., Chanda S., Bhattacharyya S., Basu S.K., Bhowmik R.K., Das J.J., Datta Pramanik U., Ghugre S.S., Madhavan N., Mukherjee A., Mukherjee G., Muralithar S., Singh R.P., Band structure in near spherical 138Ce, Nuclear Physics A, 825 (2009) 16-38.
  • [9]. Chmel S., Frauendorf S., Hübel H., Deformation parameters and transition probabilities for shears bands in Pb isotopes, Phys. Rev., C 75 (2007) 044309 (19 pages).
  • [10]. Bengtsson T., Ragnarsson I., Rotational bands and particle-hole excitations at very high spin, Nucl. Phys. A, 436 (1985) 14- 82.
  • [11]. Afanasjev A. V., Ragnarsson I., Gradual loss of collectivity in rotational bands in the A ∼ 110 (Z ⩾ 50, N ∼ 60) mass region, Nucl. Phys., A 591 (1995) 387- 420.
  • [12]. Afanasjev A.V., Fossan D.B., Lane G.J. and Ragnarsson I., Termination of rotational bands: disappearance of quantum many-body collectivity, Phys. Rep., 322 (1999) 1-124.
  • [13]. Ragnarsson I., Configuration-constrained cranked Nilsson-Strutinsky description of the band structure at very hign spin, Proceedings of the 2nd International Balkan School on Nuclear Physics, Bodrum, Sept. 12-19, 2000, Balkan Physics Letters, (Special Issue/2000) 1- 22.
  • [14]. Ragnarsson I., Carlsson G., Calculating high-spin states using the configuration-dependent cranked Nilsson-Strutinsky (CNS) formalism, Division of Mathematical Physics, Lund Institute of Technology, Lund, Sweden, (2012) 1- 47.
  • [15]. Ragnarsson I., Carlsson G., Plotting observed high-spin states using the spinmass program, Division of Mathematical Physics, Lund Institute of Technology, Lund, Sweden, (2012) 1- 13.
  • [16]. Hill D.L., Wheeler J.A., Nuclear constitution and the interpretation of fission phenomena, Phys. Rev., 89 (1953) 1102.
  • [17]. Nilsson S.G., Binding States of Individual Nucleons in Strongly Deformed Nuclei, Det KongeligeDanske Videnskabernes Selskab Matematisk-fysiske Meddelelser, 29- 16 (1955) 1- 69.
  • [18]. Ring P. and Schuck P.,The nuclear many body problem. ed. New York: Spring-Verlag, 1980; pp 1- 95.
  • [19]. Nilsson S. G., Ragnarsson I., Shapes and shells in nuclear structures. Cambridge University Press, 2005

Cranked Nilsson-Strutinsky Model ile N = 82 Çekirdeğinde Kabuk Kapanması Yorumu

Year 2018, , 118 - 126, 16.03.2018

Samra Kaım , A. Aboudı R. Belgharbı A. Laala

https://doi.org/10.17776/csj.359907

Abstract

Makroskopik-mikroskopik, Cranked Nilsson
Strutinsky (CNS) modeli çerçevesinde, kabuk kapanma bölgesinde (N = 82),
özellikle 136-138Ce seryum izotoplarında çekirdeklerin teorik bir incelemesi yapılmıştır.
Birçok nükleer özellik hesaplanmış ve tartışılmıştır: tek parçacık enerjisi,
toplam enerji, sıvı damlası enerjisi, eylemsizlik momentleri, deformasyon
parametreleri, çekirdek şekli ve potansiyel enerji yüzeyleri (PES) sunulmuştur.
Bu izotopların yüksek spin dönme bantları, CNS kodu çerçevesinde sabit
konfigürasyonlara dayalı olarak çalışılmış ve yorumlanmıştır. Son çalışmalarda
bu çekirdeklerin gözlenen sonuçları ile iyi bir uyum bulunmuştur.

Keywords

Kabuk kapatması N = 82 Seryum izotopları 136-138Ce Cranked Nilsson Strutinsky (CNS) dönme bantları şekil evrimi deformasyon parametreleri PES

References

  • [1]. Ludziejewski J., Arnold H., High-spin levels in 137,139Ce and 139,141Nd evidence for hole-core coupling, Z. Phys. A, 281 (1977) 287- 308.
  • [2]. Möller P., Nix J. R., Myers W. D., and Swiatecki W. J., Nuclear ground-state masses and deformations, At. Data and Nucl. Data Tables ,59 (1995) 185- 381.
  • [3]. Chanda S., Bhattacharjee T., Bhattacharyya S., Mukherjee A., Basu S.K., Ragnarsson I., Bhowmik R.K., Muralithar S., Singh R.P., Ghugre S.S., Datta Pramanik U., Seven-quasiparticle bands in 139Ce, Phys. Rev. C, 79 (2009) 054332 (11 pages).
  • [4]. Kaim S., Petrache C. M., Gargano A., Itaco N., Zerrouki T., Leguillon R., Astier A., Deloncle I., Konstantinopoulos T., Régis J. M., Wilmsen D., Melon B., Nannini A., Ducoin C., Guinet D., and T. Bhattacharjee, High-spin spectroscopy of 139Ce, Phys. Rev. C, 91 (2015) 024318 (8 pages).
  • [5]. Carlsson B. G., Ragnarsson I., Calculating the nuclear mass in the very high angular momentum regime, Phys. Rev., C 74 (2006) 011302(R) (5 pages).
  • [6]. Lakshmi S., Jain H.C., Joshi P.K., Mazumdar I., Palit R., Jain A.K., Malik S.S., High spin structure of 136Ce, Nuclear Physics A, 761 (2005) 1-21.
  • [7]. Bhattacharjee T., Chanda S., Mukherjee A., Bhattacharyya S., and Basu S. K., Multi-quasiparticle bands in 137Ce, PHYSICAL REVIEW C, 78 (2008) 024304 (11 pages).
  • [8]. Bhattacharjee T., Chanda S., Bhattacharyya S., Basu S.K., Bhowmik R.K., Das J.J., Datta Pramanik U., Ghugre S.S., Madhavan N., Mukherjee A., Mukherjee G., Muralithar S., Singh R.P., Band structure in near spherical 138Ce, Nuclear Physics A, 825 (2009) 16-38.
  • [9]. Chmel S., Frauendorf S., Hübel H., Deformation parameters and transition probabilities for shears bands in Pb isotopes, Phys. Rev., C 75 (2007) 044309 (19 pages).
  • [10]. Bengtsson T., Ragnarsson I., Rotational bands and particle-hole excitations at very high spin, Nucl. Phys. A, 436 (1985) 14- 82.
  • [11]. Afanasjev A. V., Ragnarsson I., Gradual loss of collectivity in rotational bands in the A ∼ 110 (Z ⩾ 50, N ∼ 60) mass region, Nucl. Phys., A 591 (1995) 387- 420.
  • [12]. Afanasjev A.V., Fossan D.B., Lane G.J. and Ragnarsson I., Termination of rotational bands: disappearance of quantum many-body collectivity, Phys. Rep., 322 (1999) 1-124.
  • [13]. Ragnarsson I., Configuration-constrained cranked Nilsson-Strutinsky description of the band structure at very hign spin, Proceedings of the 2nd International Balkan School on Nuclear Physics, Bodrum, Sept. 12-19, 2000, Balkan Physics Letters, (Special Issue/2000) 1- 22.
  • [14]. Ragnarsson I., Carlsson G., Calculating high-spin states using the configuration-dependent cranked Nilsson-Strutinsky (CNS) formalism, Division of Mathematical Physics, Lund Institute of Technology, Lund, Sweden, (2012) 1- 47.
  • [15]. Ragnarsson I., Carlsson G., Plotting observed high-spin states using the spinmass program, Division of Mathematical Physics, Lund Institute of Technology, Lund, Sweden, (2012) 1- 13.
  • [16]. Hill D.L., Wheeler J.A., Nuclear constitution and the interpretation of fission phenomena, Phys. Rev., 89 (1953) 1102.
  • [17]. Nilsson S.G., Binding States of Individual Nucleons in Strongly Deformed Nuclei, Det KongeligeDanske Videnskabernes Selskab Matematisk-fysiske Meddelelser, 29- 16 (1955) 1- 69.
  • [18]. Ring P. and Schuck P.,The nuclear many body problem. ed. New York: Spring-Verlag, 1980; pp 1- 95.
  • [19]. Nilsson S. G., Ragnarsson I., Shapes and shells in nuclear structures. Cambridge University Press, 2005
There are 19 citations in total.

Details

Primary Language English
Journal Section Natural Sciences
Authors

Samra Kaım

A. Aboudı

R. Belgharbı

A. Laala

Publication Date March 16, 2018
Submission Date November 30, 2017
Acceptance Date January 26, 2018
Published in Issue Year 2018

Cite

APA Kaım, S., Aboudı, A., Belgharbı, R., Laala, A. (2018). Shell Closure N = 82 nuclei interpretation by the Cranked Nilsson-Strutinsky Model : 136-138Ce. Cumhuriyet Science Journal, 39(1), 118-126. https://doi.org/10.17776/csj.359907