العزوم الكهربائية رباعية القطب والعزوم المغناطيسية ثنائية القطب للنوى الفردية قرب الأنوية مزدوجة السحر: تحليل بطريقة HFB ونموذج القشرة
محتوى المقالة الرئيسي
الملخص
جرت دراسة العزم الكهربائي رباعي القطب (Q20) والعزم المغناطيسي ثنائي القطب (M10) للنوى الفردية (17O، 17F، 39Ca، 39K، 47Ca، 49Sc، 131In، 133Sb، 133Sn، 209Bi) القريبة من القلوب مزدوجة السحر. باستخدام طريقة هارتري-فوك-بوغوليوبوف (HFB) وطريقة نموذج القشرة (SM). استُخدم في حسابات HFB تفاعل سكيرم من نوع SLy4. أمّا حسابات نموذج القشرة فأُنجزت ضمن الأغلفة sd، sd-pf، fp، وjj باستخدام التآثرات USDC وSDPF-U وGXPF1A وjj45pn وsn100pn. قورنت النتائج النظرية مع البيانات التجريبية من قواعد بيانات العزوم النووية التابعة لـ IAEA/INDC. بالنسبة إلى Q20 توقّعت حسابات Skyrme-HFB الإشارة الصحيحة مع انحرافات صغيرة في النوى الخفيفة (مثل 17O، 17F،39Ca، 47Ca). بحدود -7% إلى +6%، بينما كانت الانحرافات أعلى بكثير في نوى مثل 39K و49Sb بنحو -88%و-85.7%، كما كانت عالية أيضاً للنوى حول القلبين 132Sn و208Pb حيث تراوحت بين -81% و-96%. في المقابل أظهرت نتائج نموذج القشرة لـ Q20 تحسناً ملحوظاً، إذ كان الانحراف ضمن 1-16%. أمّا بالنسبة إلى M10 فكانت حسابات HFB قريبة من النتائج التجريبية للنوى الخفيفة (17O و17F) ونتائج معقولة لـ 47Ca (≈4.5%) مع ذلك نجد انها انحرفت بقوة في 39K، يجدر الذكر هنا ان هذه الدراسة لم تتضمن حساب قيم M10 للنوى الثقيلة ضمن طريقة HFB. لكن بالنسبة لنموذج القشرة فأظهرت حسابات M10 توافق عالي جدا مع القيم العملية وبدقة عالية لمعظم النوى (مثل 17O، 17F، 39K، و209Bi) وقدّمت وصفاً مرضياً جداً في المنطقة الثقيلة.
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المراجع
Alzubadi, A.A. and Abdulhasan, A.A., 2015. Nuclear deformation study using the framework of self-consistent Hartree-Fock-Bogoliubov. Karbala International Journal of Modern Science, 1(2), pp. 110–121. https://doi.org/10.1016/J.KIJOMS.2015.09.002
Alzubadi, A.A. and Allawi, R.A., 2021. Investigation of the magicity in some even–even Ca isotopes by using shell model and Hartree–Fock–Bogoliubov method. Indian Journal of Physics 2021 96:4, 96(4), pp. 1205–1216. https://doi.org/10.1007/S12648-021-02052-X
Alzubadi, A.A. and Harby, G.W., 2023. Calculation of the electromagnetic moments and electroexcitation form factors for some boron isotopes using shell model with Skyrme interaction. Revista Mexicana de Física, 69(1). https://doi.org/10.31349/REVMEXFIS.69.011202
Alzubadi, A.A., Latooffi, N.F., and Radhi, R.A., 2015. Shell model and Hartree-Fock calculations for some exotic nuclei. International Journal of Modern Physics E, 24(12). https://doi.org/10.1142/S0218301315500998
Alzubadi, A.A. and Obaid, R.S., 2019. Study of the nuclear deformation of some even–even isotopes using the Hartree–Fock–Bogoliubov method (effect of the collective motion). Indian Journal of Physics, 93(1), pp. 75–92. https://doi.org/10.1007/s12648-018-1269-2
Beiner, M., Flocard, H., Van Giai, N. and Quentin, P., 1975. Nuclear ground-state properties and self-consistent calculations with the Skyrme interaction. (I). Spherical description. Nuclear Physics, Section A, 238(1), pp. 29–69. https://doi.org/10.1016/0375-9474(75)90338-3
Bertsch, G., Dobaczewski, J., Nazarewicz, W. and Pei, J., 2009. Hartree-Fock-Bogoliubov theory of polarized Fermi systems. Physical Review A, 79(4), P. 043602. https://doi.org/10.1103/PhysRevA.79.043602
Bohr, A. and Mottelson, B.R., 1975. Nuclear structure. Vol. 2, Nuclear deformations. W. A. Benjamin, Inc. https://openlibrary.org/works/OL1274866W/Nuclear_structure?edition=key%3A%2Fbooks%2FOL5631869M
Bonnard, J., Dobaczewski, J., Danneaux, G., and Kortelainen, M., 2023. Nuclear DFT electromagnetic moments in heavy deformed open-shell odd nuclei. Physics Letters B, 843, P. 138014. https://doi.org/10.1016/J.PHYSLETB.2023.138014
Brussaard, P.J. and Glaudemans, P.W.M., 1977. Shell-model applications in nuclear spectroscopy. North Holland. https://cir.nii.ac.jp/crid/1971430859852643599
Da Costa, P., Bennaceur, K., Meyer, J., Ryssens, W. and Bender, M., 2024. Impact of choices for center-of-mass correction energy on the surface energy of Skyrme energy density functionals. Physical Review C, 109(3). https://doi.org/10.1103/PhysRevC.109.034316
Dobaczewski, J., Backes, B.C., de Groote, R.P., Restrepo-Giraldo, A., Sun, X. and Wibowo, H., 2025. Electromagnetic and Exotic Moments in Nuclear DFT. http://arxiv.org/abs/2511.04632
Dobaczewski, J., Baczyk, P., Becker, P., Bender, M., Bennaceur, K., Bonnard, J., Gao, Y., Idini, A., Konieczka, M., Kortelainen, M., Próchniak, L., Romero, A.M., Satula, W., Shi, Y., Werner, T.R. and Yu, L.F., 2021. Solution of universal nonrelativistic nuclear DFT equations in the Cartesian deformed harmonic-oscillator basis. (IX) HFODD (v3.06h): A new version of the program. Journal of Physics G: Nuclear and Particle Physics, 48(10). https://doi.org/10.1088/1361-6471/ac0a82
Dobaczewski, J. and Dudek, J., 1995. Time-odd components in the mean field of rotating superdeformed nuclei. Physical Review C, 52(4), pp. 1827–1839. https://doi.org/10.1103/PhysRevC.52.1827
Dobaczewski, J., Flocard, H. and Treiner, J., 1984. Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line. Nuclear Physics, Section A, 422(1), pp. 103–139. https://doi.org/10.1016/0375-9474(84)90433-0
Dobaczewski, J., Satula, W., Carlsson, B.G., Engel, J., Olbratowski, P., Powalowski, P., Sadziak, M., Sarich, J., Schunck, N., Staszczak, A., Stoitsov, M., Zalewski, M. and Zdunczuk, H., 2009. Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VI) HFODD (v2.38j): a new version of the program. Computer Physics Communications, 180(11), pp. 2361–2391. https://doi.org/10.1016/j.cpc.2009.08.009
Engel, Y.M., Brink, D.M., Goeke, K., Krieger, S.J. and Vautherin, D., 1975. Time-dependent Hartree-Fock theory with Skyrme’s interaction. Nuclear Physics, Section A, 249(2), pp. 215–238. https://doi.org/10.1016/0375-9474(75)90184-0
Gaudefroy, L., 2010. Shell model study of N≃28 neutron-rich nuclei. Physical Review C, 81(6), P. 064329. https://doi.org/10.1103/PhysRevC.81.064329
Harby, G.W. and Alzubadi, Ali, A., 2022. Calculation of the Magnetic Dipole and Electric Quadrupole Moments of some Sodium Isotopes using Shell Model with Skyrme Interaction. Iraqi Journal of Physics, 20(3), pp. 40–49. https://doi.org/10.30723/IJP.V20I3.1004
Harding, R.D., Pallada, S., Croese, J., Antušek, A., Baranowski, M., Bissell, M.L., Cerato, L., Dziubinska-Kühn, K.M., Gins, W., Gustafsson, F.P., Javaji, A., Jolivet, R.B., Kanellakopoulos, A., Karg, B., Kempka, M., Kocman, V., Kozak, M., Kulesz, K., Flores, M.M., Neyens, G., Pietrzyk, R., Plavec, J., Pomorski, M., Skrzypczak, A., Wagenknecht, P., Wienholtz, F., Wolak, J., Xu, Z., Zakoucky, D. and Kowalska, M., 2020. Magnetic Moments of Short-Lived Nuclei with Part-per-Million Accuracy: Toward Novel Applications of ß -Detected NMR in Physics, Chemistry, and Biology. Physical Review X, 10(4), P. 041061. https://doi.org/10.1103/PhysRevX.10.041061
Honma, M., Otsuka, T., Brown, B.A., and Mizusaki, T., 2005. Shell-model description of neutron-rich pf-shell nuclei with a new effective interaction GXPF 1. The European Physical Journal A - Hadrons and Nuclei 2005 25:1, 25(1), pp. 499–502. https://doi.org/10.1140/EPJAD/I2005-06-032-2
Koszorús, Á., de Groote, R.P., Cheal, B., Campbell, P. and Moore, I.D., 2024. Nuclear structure studies by collinear laser spectroscopy. European Physical Journal A, 60(1), pp. 1–17. https://doi.org/10.1140/epja/s10050-024-01230-9
Lechner, S., Miyagi, T., Xu, Z.Y., Bissell, M.L., Blaum, K., Cheal, B., Devlin, C.S., Garcia Ruiz, R.F., Ginges, J.S.M., Heylen, H., Holt, J.D., Imgram, P., Kanellakopoulos, A., Koszorús, Malbrunot-Ettenauer, S., Neugart, R., Neyens, G., Nörtershäuser,
W., Plattner, P., Rodríguez, L. V., Sanamyan, G., Stroberg, S.R., Utsuno, Y., Yang, X.F. and Yordanov, D.T., 2023. Electromagnetic moments of the antimony isotopes 112−133Sb. Physics Letters B, 847, P. 138278. https://doi.org/10.1016/J.PHYSLETB.2023.138278
Li, T., Schunck, N. and Grosskopf, M., 2024. Multipole responses in fissioning nuclei and their uncertainties. Physical Review C, 110(3), P. 034317. https://doi.org/10.1103/PhysRevC.110.034317
Lyutorovich, N., 2024. Description of the odd 249-253No nuclei using Skyrme functionals with modified spin-spin interaction. International Journal of Modern Physics E, 33(7). https://doi.org/10.1142/S0218301324500277
Magilligan, A. and Brown, B.A., 2020. New isospin-breaking “USD” Hamiltonians for the sd shell. Physical Review C, 101(6), P. 064312. https://doi.org/10.1103/PhysRevC.101.064312
Majeed, F.A., 2006. Shell model study of even-even 132-134Te neutron-rich nuclei. 37. https://doi.org/10.48550/arXiv.nucl-th/0601084
Maurya, K., Srivastava, P.C. and Mehrotra, I., 2013. Shell Model Description of N = 51 Isotones. IOSR Journal of Applied Physics (IOSR-JAP, 3(4), pp. 52–59. https://doi.org/10.9790/4861-0345259
Mertzimekis, T.J., 2016. Development of a dedicated online database for nuclear moments data. IAEA INDC Reports. Vienna, Austria. https://doi.org/10.61092/IAEA.VSF9-639M
Mertzimekis, T.J., Stamou, K. and Psaltis, A., 2016. An online database of nuclear electromagnetic moments. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 807, pp. 56–60. https://doi.org/10.1016/j.nima.2015.10.096
Nowacki, F. and Poves, A., 2009. New effective interaction for 0 ̄hω shell-model calculations in the sd-pf valence space. Physical Review C, 79(1), P. 014310. https://doi.org/10.1103/PhysRevC.79.014310
Ring, P. and Schuck, P., 1983. The Nuclear Many-Body Problem. Physics Today, AIP Publishing. https://doi.org/10.1063/1.2915762
Sassarini, P.L., 2023. Nuclear Moments in Density Functional Theory: An analysis of magnetic dipole and electric quadrupole moments within nuclear DFT of one-particle and one-hole neighbours of doubly magic nuclei. [MPhil thesis] University of York. https://etheses.whiterose.ac.uk/id/eprint/34700/7/Sassarini_206045222_CorrectedThesisClean.pdf
Sassarini, P.L., Dobaczewski, J., Bonnard, J., and Ruiz, R.F.G., 2022. Nuclear DFT analysis of electromagnetic moments in odd near doubly magic nuclei. Journal of Physics G: Nuclear and Particle Physics, 49(11), P. 11LT01. https://doi.org/10.1088/1361-6471/AC900A
Schunck, N., Dobaczewski, J., Satuła, W., Bączyk, P., Dudek, J., Gao, Y., Konieczka, M., Sato, K., Shi, Y., Wang, X.B. and Werner, T.R., 2017. Solution of the Skyrme-Hartree--Fock--Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VIII) hfodd (v2.73y): A new version of the program. Computer Physics Communications, 216, pp. 145–174. https://doi.org/10.1016/j.cpc.2017.03.007
Shi, Y., Stevenson, P.D. and Hinohara, N., 2024. A program for 3D nuclear static and time-dependent density-functional theory with full Skyrme energy density functional: HIT3D. http://arxiv.org/abs/2403.12539
Shukla, S., Srivastava, P.C. and Patel, D., 2024. Systematic shell-model study of structure and isomeric states in 204–213Bi isotopes. Journal of Physics G: Nuclear and Particle Physics, 51(7), P. 075103. https://doi.org/10.1088/1361-6471/AD4D07
Spevak, V., Auerbach, N. and Flambaum, V. V., 1997. Enhanced T-odd, P-odd electromagnetic moments in reflection asymmetric nuclei. Physical Review C, 56(3), p.1357. https://doi.org/10.1103/PhysRevC.56.1357
Stone, N.J., 2024. Nuclear moments: recent developments. Interactions, 245(1), pp. 1–6. https://doi.org/10.1007/S10751-024-01896-Z
Sultan, L.F. and Alzubadi, A.A., 2025. Study of Nuclear Deformations for Some Nuclei located Near the Nuclear Island of Inversion Region. Ibn AL-Haitham Journal for Pure and Applied Sciences, 38(4), pp. 190–198. https://doi.org/10.30526/38.4.4146
Titin-Schnaider, C. and Quentin, P., 1974. Coulomb exchange contribution in nuclear Hartree-Fock calculations. Physics Letters B, 49(5), pp. 397–400. https://doi.org/10.1016/0370-2693(74)90617-0
Warburton, E.K. and Brown, B.A., 1991. Appraisal of the Kuo-Herling shell-model interaction and application to A=210–212 nuclei. Physical Review C, 43(2), P. 602. https://doi.org/10.1103/PhysRevC.43.602
