پیوندهای مفید
آمار
| تعداد نشریات | 21 |
| تعداد شمارهها | 691 |
| تعداد مقالات | 10,035 |
| تعداد مشاهده مقاله | 71,039,512 |
| تعداد دریافت فایل اصل مقاله | 62,489,027 |
Electric quadrupole transition in neutron rich $^{32-42}$S-isotopes with different model spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 250، دوره 13، شماره 2، مهر 2022، صفحه 3127-3137 اصل مقاله (2.91 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.6783 | ||
| نویسندگان | ||
| A A Abdulhasan* ؛ Z A Dakhil | ||
| Department of Physics, College of Science, University of Baghdad, Iraq | ||
| تاریخ دریافت: 15 آبان 1400، تاریخ بازنگری: 01 اسفند 1400، تاریخ پذیرش: 28 اسفند 1400 | ||
| چکیده | ||
| The electromagnetic properties of some even neutron rich Sulfur-isotopes ${ }^{32-42} \mathrm{~S}$ are studied through the electric quadrupole transition $\left(0_{1}^{+} \rightarrow 2_{1}^{+}\right)$. In particular, excitation energies $E_{x}$, occupancies, electric quadrupole moments $Q$, transition strengths $B(E 2)$, deformation parameters $\beta_{2}$ and the coulomb inelastic electron scattering form factors are calculated for the adopted isotopes within the framework of shell model. The shell model calculations are performed with full $s d$-model space, $p s d$ - and $s d p f$ - cross shell, using different interactions. The results are based on $s d b a$ and $p s d m k$ interactions for sulfur with $N \leq 20$, while sdpfk and $s d p f u$ interactions are dependent for sulfur with $N>20$. The core polarization effects $(C P)$ are included through the Boher-Mottelson $(B-M)$ and standard $(S T)$ effective charges to obtain a reasonable description of the electric quadrupole moments and C2 form factors. The results of $p s d m k$ and $s d b a$-interactions fail to reproduce the measured $B(E 2)$ strengths and deformation $\beta_{2}$ for ${ }^{32-36} \mathrm{~S}$, except for ${ }^{36} \mathrm{~S}$ nucleus is close to the measured value. The results for ${ }^{38-42} \mathrm{~S}$ with both $s d p f k$ and $s d p f u$ interactions nicely confirm the measured values of $B(E 2)$ strengths and deformation $\beta_{2}$ within the experimental error. The influence of the nuclear deformation parameter $\beta_{2}$ on the location of the diffraction minima of $\mathrm{C} 2$ form factors are also indicated. | ||
| کلیدواژهها | ||
| Excited energy؛ Quadrupole moments؛ effective charges؛ Deformation parameters؛ Reduced transition probabilities؛ Electron scattering form factor | ||
| مراجع | ||
|
[1] A.N. Bohr and B.R. Mottelson, Nuclear Structure (in 2 volumes), World Scientific Publishing Company, 1998. [2] B.A. Brown, R. Radhi and B.H. Wildenthal, Electric quadrupole and hexadecupole nuclear excitations from the perspectives of electron scattering and modern shell-model theory, Phys. Rep. 101 (1983), no. 5, 313–358. [3] B.A. Brown, A. Arima and J.B. McGrory, E2 core-polarization charge for nuclei near 16O and 40Ca, Nuclear Phys. A 277 (1977), no. 1, 77–108. [4] B.A. Brown, A. Etchegoyen and N.S. Godwin, WDM rae, WA Richter, WE Ormand, EK Warburton, JS Winfield, [7] T.W. Donnelly and J.D. Walecka, Electron Scattering and Nuclear Structure, Ann. Rev. Nuclear Sci. 25 (1975), no. 1, 329–405. [8] T.W. Donnelly and I. Sick, Elastic magnetic electron scattering from nuclei, Reviews of modern physics 56 (1984), no. 3, 461. [9] J.P. Elliott and T.H.R. Skyrme, Centre-of-mass effects in the nuclear shell-model, Proc. Royal Soc. London. Series A. Math. Phys. Sci. 232 (1955), no. 1191, 561–566. [10] T. Glasmacher, B.A. Brown, M.J. Chromik, P.D. Cottle, M. Fauerbach, R.W. Ibbotson, K.W. Kemper, D.J. Morrissey, H. Scheit and D.W. Sklenicka, Collectivity in 44S, Phys. Lett. B 395 (1997), no. 3-4, 163–168. [11] J.P. Glickman, W. Bertozzi, T.N. Buti, S. Dixit, F.W. Hersman, C.E. Hyde-Wright, M.V. Hynes, R.W. Lourie, B.E. Norum and J.J. Kelly, Electron scattering from Be 9, Phys. Rev. C 43 (1991), no. 4, 1740. [12] .K Kaneko, Y. Sun, T. Mizusaki and M. Hasegawa, Shell-model study for neutron-rich sd-shell nuclei, Phys. Rev. C 83 (2011), no. 1, 014320. [13] E. Kwan, C.Y. Wu, N.C. Summers, G. Hackman, T.E. Drake, C. Andreoiu, R. Ashley, G.C. Ball, P.C. Bender and A.J. Boston, Precision measurements of the B (E1) strengths in 11Be, Fission and Properties of Neutron-Rich Nuclei, World Scientific, 2014, pp. 678–681. [14] B. Longfellow, D. Weisshaar, A. Gade, B.A. Brown, D. Bazin, K.W. Brown, B. Elman, J. Pereira, D. Rhodes and M. Spieker, Quadrupole collectivity in the neutron-rich sulfur isotopes S 38, 40, 42, 44, Phys. Rev. C 103 (2021), no. 5, 054309. [15] D.J. Millener and D. Kurath, The particle-hole interaction and the beta decay of 14B, Nuclear Phys. A 255 (1975), no. 2, 315–338. [16] F. Nowacki and A. Poves, New effective interaction for θhω shell-model calculations in the sd-pf valence space, Phys. Rev. C 79 (2009), no. 1, 014310. [17] T. Otsuka, A. Gade, O. Sorlin, T. Suzuki and Y. Utsuno, Evolution of shell structure in exotic nuclei, Rev. Mod. Phys.92 (2020), no. 1, 015002. [18] B. Pritychenko, M. Birch, B. Singh and M. Horoi, Tables of E2 transition probabilities from the first 2+ states in even-even nuclei, At. Data Nucl. Data Tables 107 (2016), 1–139. [19] R.A. Radhi, A.A. Alzubadi and A.H. Ali, Magnetic dipole moments, electric quadrupole moments, and electron scattering form factors of neutron-rich s d-p f cross-shell nuclei, Phys. Rev. C 97 (2018), no. 6, 064312. [20] R.A. Radhi, Z.A. Dakhil and N.S. Manie, Microscopic calculations of quadrupole moments in Li and B isotopes, Eur. Phys. J. A 50 (2014), no. 7, 1–9. [21] S. Raman and C.W. Nestor, Jr., and P. Tikkanen, At. Data Nucl. Data Tables 78 (2001), no. 1, 43. [22] W.A. Richter, S. Mkhize, and B Alex Brown, sd-shell observables for the USDA and USDB Hamiltonians, Phys. Rev. C 78 (2008), no. 6, 064302. [23] H. Sagawa and B.A. Brown, E2 core polarization for sd-shell single-particle states calculated with a skyrmion-type interaction, Nuclear Phys. A 430 (1984), no. 1, 84–98. [24] A. Saxena, A. Kumar, V. Kumar, P.C. Srivastava and T. Suzuki, Ab initio description of collectivity for sd shell nuclei, Hyperfine Interact.240 (2019), no. 1, 1–8. [25] H. Scheit, T. Glasmacher, B.A. Brown, J.A. Brown, P.D. Cottle, P.G. Hansen, R. Harkewicz, M. Hellstrom, R.W. Ibbotson and J.K. Jewell, New region of deformation: The neutron-rich sulfur isotopes, Phys. Rev. Lett. 77 (1996), no. 19, 3967. [26] O. Sorlin and M.-G. Porquet, Nuclear magic numbers: New features far from stability, Prog. Part. Nuclear Phys. 61 (2008), no. 2, 602–673. [27] N.J. Stone, Table of nuclear magnetic dipole and electric quadrupole moments, At. Data Nuc. Data Tables 90 (2005), no. , 75–176. [28] L. Jo Tassie and F.C. Barker, Application to electron scattering of centre-of-mass effects in the nuclear shell model, Phys. Rev. 111 (1958), no. 3, 940. [29] Y. Utsuno, T. Otsuka, B.A. Brown, M. Honma, T. Mizusaki and N. Shimizu, Shape transitions in exotic Si and S isotopes and tensor-force-driven Jahn-Teller effect, Phys. Rev. C 86 (2012), no. 5, 051301. [30] T.R. Werner, J.A. Sheikh, M. Misu, W. Nazarewicz, J. Rikovska, K. Heeger, A.S. Umar and M.R. Strayer, Ground-state properties of exotic Si, S, Ar and Ca isotopes, Nuclear Phys. A 597 (1996), no. 3, 327–340. [31] B.H. Wildenthal, B.A. Brown and I. Sick, Electric hexadecupole transition strength in S 32 and shell-model predictions for E4 systematics in the sd shell, Phys. Rev. C 32 (1985), no. 6, 2185. [32] S.-G. Zhou, Structure of exotic nuclei: a theoretical review, arXiv preprint arXiv:1703.09045 (2017). | ||
|
آمار تعداد مشاهده مقاله: 44,643 تعداد دریافت فایل اصل مقاله: 51,078 |
||