Isoscalar Giant Dipole Resonance of Tin Isotopes 112, 114, 116, 118, 120, 122, 124Sn Using HF- BCS and QRPA Approximations | ||
| Kirkuk Journal of Science | ||
| Article 4, Volume 18, Issue 4, December 2023, Pages 42-53 PDF (1.37 M) | ||
| Document Type: Research Paper | ||
| DOI: 10.32894/kujss.2023.145104.1126 | ||
| Authors | ||
| Wafaa Ahmed Mansour* 1; Ali H. Taqi2 | ||
| 1Department of Physic, College of Science, University of Kirkuk, Kirkuk , Iraq, | ||
| 2Department of Physics, College of Science, Kirkuk University, Kirkuk, Iraq | ||
| Abstract | ||
| The isoscalar giant dipole resonance (ISGDR) of the even-even Tin isotopes 112, 114, 116, 118, 120, 122, 124Sn has been investigated by using fully self-consistent quasiparticle random phase approximation (QRPA) based on Bardeen Cooper Schriffer-Hartree Fock (HF-BCS). We depend on five sets of Skyrme-type interactions (T5, SKM, SLY4, SGII, and SKX) with varying effective mass m*/m and nuclear matter incompressibility coefficient KNM. Furthermore, the calculations incorporate the effects of several pairing force types, such as volume, surface, and mixed. The calculated strength distributions, scaled energies Es, constrained energies Econ, and centroid energies Ecen of the ISGDR for the investigated isotopes are compared with the available experimental data. Analysis is done on the relationships between KNM and m*/m, and the estimated properties. | ||
| Keywords | ||
| strength distribution; Isoscalar Giant Dipole Resonance (ISGDR); Skyrme force; Hartree-Fock-Bardeen-Cooper-Schrieffer (HF + BCS); quasiparticle random phase approximation (QRPA) | ||
| References | ||
|
[1] P. Ring and P. Schuck. The nuclear many-body problem. Journal of travel medicine, 36(7): 70, 1983, doi:10.1063/1.2915762.
[2] J.-P. Blaizot and G. Ripka. Quantum Theory of Finite Systems. MIT press Cambridge, MA, 1986.
[3] A. Bohr and B. R. Mottelson. Nuclear Structure, Vol. II: Nuclear Deformation. London: Imperial College Press and World Scientific Publishing Co. Pte. Ltd, 1998.
[4] S. Shlomo, V. M. Kolomietz, and G. Colo. Deducing the nuclear matter incompressibility coefficient from data on isoscalar compression modes. European Physical Journal, 30: 23–30, 2006, doi:10.1140/epja/i2006-10100- 3. [5] F. E. Bertrand. Giant multipole resonances - perspectives after ten years. Nuclear Physics A, 354: 129, 1981, doi:10.1016/0375-9474(81)90596-0.
[6] M. N. Harakeh and A. van der Woude. Giant Resonances Fundamental High-Frequency Modes of Nuclear Excitation. Oxford University Press, New York, 2001, doi:10.1093/oso/9780198517337.003.0001.
[7] J. M. Lattimer and M. Prakash. Neutron star strcture and the equion of state. The Astrophysical Journal, 550: 426, 2001, doi:10.1086/319702.
[8] S. Stringari. Sum rules for compression modes. Physics Letters B, 108)4-5(): 232–236, 1982, doi:10.1016/0370-2693(82)91182-0.
[9] Nguyen Van Giai. Self-consistent description of nuclear excitations. Progress of Theoretical and Experimental Physics, 330: 74–75, 1983, doi:10.1143/PTPS.74.330.
[10] D. Vretenar, T. Niksiˇ c, and P. Ring. A microscopic estimate of the nuclear matter compressibility and symmetry energy in relativistic mean-field models. Physical Review Journals, 68: 024310, 2003, doi:10.48550/arXiv.nuclth/0302070.
[11] Von Ioannis Daoutidis. Relativistic Continuum Random Phase Approximation in Spherical Nuclei. PhD thesis, Technical University of Munich, 2009, doi:10.48550/arXiv.1103.2332.
[12] P. Ring and P. Schuck. The nuclear many-body problem. Physics Today, 36(7): 70, 1983, doi:10.1063/1.2915762.
[13] D. J. Rowe. Nuclear collective motion. Methuen, London, 2010, doi:10.1142/6721.
[14] Gullala A. Mohammed and Ali H. Taqi. Isoscalar dipole response in 92 Mo and 100Mo isotopes. Momento Revista de Fısica, 67: 101, 2023, doi:10.15446/mo.n67.107907.
[15] S. Shlomo, V. M. Kolomietz, , and G. Colo. Deducing the nuclear-matter incompressibility coefficient from data on isoscalar compression modes. The European Physical Journal A, 30: 23, 2006, doi:10.1140/epja/i2006-10100-3.
[16] G. Colo, L. Cao, N. Van Giai, and L. Capelli. Self-consistent rpa calculations with skyrme-type interactions: The skyrme rpa program. Computer Physics Communications, 184(1):142–161, 2013, doi:10.1016/j.cpc.2012.07.016.
[17] Giampaolo Co’. Introducing the random phase approximation theory. Universe 2023, 9(3): 141, 2023, doi:10.3390/universe9030141.
[18] P. Schuck, D. S. Delion, J. Dukelsky, M. Jemai, E. Litvinova, G. Ropke, and M. Tohyama. Equation of motion method for strongly correlated fermi systems and extended rpa approaches. Physics Reports, 929: 1–84, 2021, doi:10.1016/j.physrep.2021.06.001.
[19] V. Tselyaev. Spurious dipole mode in random-phase approximation and in models based on this approximation. Physical Review C, 106: 064327, 2022, doi: 10.1103/PhysRevC.106.064327.
[20] Shi Yao Chang, Zhi Heng Wang, Yi Fei Niu, and Wen Hui Long. Relativistic random-phase-approximation description of m1 excitations with the inclusion of mesons. Physical Review C, 105: 034330, 2022, doi: 10.1103/PhysRevC.105.034330.
[21] Amandeep Kaur, Esra Yuksel, and Nils Paar. Electric ¨ dipole transitions in the relativistic quasiparticle random phase approximation at finite temperature. Research and practice in thrombosis and haemostasis, 2023, doi: 10.1002/rth2.12372.
[22] Umesh Garg and Gianluca Colo. The compression- mode giant resonances and nuclear incompressibility. Irish Journal of Medical Science, 190(4): 1649–52, 2021, doi:10.1007/s11845-020-02485-z.
[23] Y.-W. Lui, D. H. Youngblood, Y. Tokimoto, H. L. Clark, and B. John. Giant resonances in 112Sn and 124Sn: Isotopic dependence of monopole resonance energies. Physical Review C, 70: 014307, 2004, doi:10.1103/PhysRevC.70.014307.
[24] D. H. Youngblood, Y.-W. Lui, H. L. Clark, Y. Tokimoto B. John, and X. Chen. Isoscalar e0e3strength in 116Sn, 144 Sm,154 Sm,and208Pb. PhysicalReviewC,69 : 034315,2020,doi : 10.1103/PhysRevC.69.034315.
[25] T. Li, U. Garg, Y. Liu, R. Marks, B. K. Nayak, P. V. Madhusudhana Rao, M. Fujiwara, H. Hashimoto, K. Kawase, K. Nakanishi, S. Okumura, M. Yosoi, M. Itoh, M. Ichikawa, R. Matsuo, T. Terazono, M. Uchida, T. Kawabata, H. Akimuneand Y. Iwao, T. Murakami, H. Sakaguchi, S. Terashima, Y. Yasuda, J. Zenihiro, and M. N. Harakeh. Isoscalar giant resonances in the Sn nuclei and implications for the asymmetry term in the nuclear-matter incompressibility. Physical Review C, 81: 034309, 2010, doi: 10.1103/PhysRevC.81.034309.
[26] F. Tondeur, M. Brack, M. Farine, and J. M. Pearson. Static nuclear properties and the parametrisation of skyrme forces. Nuclear Physics A, 420: 297, 1984, doi:10.1016/0375-9474(84)90444-5.
[27] Anna Maria Saruis. Self-consistent hf-rpa description of electron and photon nuclear reactions with skyrme forces. Physics Reports, 235: 794–800, 1993, doi:10.1016/0370-1573(93)90123-U.
[28] J. Rikovska Stone, J. C. Miller, R. Koncewicz, P. D. Stevenson, and M. R. Strayer. Nuclear matter and neutron-star properties calculated with the skyrme interaction. Physical Review C, 68: 034324, 2003, doi:10.1103/PhysRevC.68.034324.
[29] Nguyen Van Giai and H. Sagawa. Spin-isospin and pairing properties of modified skyrme interactions. Physics Letters, 116(5): 379–382, 1981, doi:10.1016/0370-2693(81)90646-8.
[30] B. Alex Brown. New skyrme interaction for normal and exotic nuclei. Physical Review C, 58: 220, 1998, doi:10.1103/PhysRevC.58.220.
[31] J. R. Stone and P. G. Reinhard. The skyrme interaction in finite nuclei and nuclear matter. Progress in Particle and Nuclear Physics, 58(2): 587, 2007, doi:10.1016/j.ppnp.2006.07.001.
[32] Ali H. Taqi and Ghanim L. Alawi. Isoscalar giant resonance in 100,116,132Sn isotopes using skyrme HF-RPA. Nuclear Physics, 983: 103, 2019, doi:10.1016/j.mrfmmm.2014.06.001.
[33] Ali H. Taqi and Mohamed S. Ali. Self-consistent hartree-fock RPA calculations in 208Pb. Indian Journal of Physics, 92(1): 69, 2021, doi:10.1007/s12648-017-1073-4.
[34] Ali H. Taqi and E.G. Khider. Ground and transition properties of 40Ca and 48Ca nuclei. Nuclear Physics and Atomic Energy, 19: 326, 2018, doi:10.15407/jnpae2018.04.326.
[35] Shyma’a. H. Amin, A. Aziz Al-Rubaiee, and Ali H. Taqi. Effect of incompressibility and symmetry energy density on charge distribution and radii of closed-shell nuclei. Kirkuk Journal of Science, 17(3): 17, 2022, doi:10.32894/kujss.2022.135889.1073.
[36] J. Kvasil, V.O. Nesterenko, A. Repko, W. Kleinig, and P.G. Reinhard. Deformation induced splitting of the isoscalar e0 giant resonance: Skyrme random-phase-approximation analysis. The Journal of Infection in Developing Countries, 94: 064302, 2016, doi:10.1103/PhysRevC.94.064302.
[37] K. Yoshida and T. Nakatsukasa. Shape evolution of giant resonances in nd and sm isotopes. Physical Review C, 88:034309, 2013, doi:10.1103/PhysRevC.88.034309.
[38] S. Stringari. Sum rules for compression modes. Physics Letters B, 108: 232, 1982, doi:10.1016/0370-2693(82)91182- 0. | ||
|
Statistics Article View: 123 PDF Download: 105 |
||