Abstract
The anti-bubble effect of the quadrupole deformation in the light nuclei is investigated by applying the relativistic mean-field (RMF) plus state dependent BCS approach. We perform a systematic study of N = 14 isotonic chain to understand the influence of deformation on the occupancy and depletion fraction (D.F. = (ρmax - ρc)/ρmax, where ρmax and ρc are maximum and central densities, respectively). The quenching effect of deformation is found very predominant in light nuclei. In view of the fact that apart from deformation, temperature is also expected to hinder or rather completely wash out the bubble effect, we investigate the interesting role of deformation and temperature together in the quenching of proton bubble in the well deformed 24Ne and 32Ar.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
Change history
05 September 2019
Due to technical constraints this article was published in volume 240:1 with erroneous article citation ID number 4 whereas this should have been 74 which is corrected as such. Springer Nature sincerely apologizes towards the author(s) for the inconvenience caused.
References
Todd-Rutel, B.G., Piekarewicz, J., Cottle, P.D.: Spin-orbit splitting in low-jneutron orbits and proton densities in the nuclear interior. Phys. Rev. C 69, 021301 (2004). https://doi.org/10.1103/PhysRevC.69.021301
Grasso, M., Ma, Z.Y., Khan, E., Margueron, J., Van Giai, N.: Evolution of the protonsdstates in neutron-rich Ca isotopes. Phys. Rev. C 76, 044319 (2007). https://doi.org/10.1103/PhysRevC.76.044319
Khan, E., Grasso, M., Margueron, J., Van Giai, N.: Detecting bubbles in exotic nuclei. Nucl. Phys. A 800, 37–46 (2008). https://doi.org/10.1016/j.nuclphysa.2007.11.012
Wang, Y.Z., Gu, J.Z., Zhang, X.Z., Dong, J.M.: Tensor Effect on Bubble Nuclei. Chin. Phys. Lett. 28, 10 (2011). https://doi.org/10.1088/0256-307X/28/10/102101
Wang, Y.Z., Gu, J.Z., Zhang, X.Z., Dong, J.M.: Tensor effects on the protonsdstates in neutron-rich Ca isotopes and bubble structure of exotic nuclei. Phys. Rev. C 84, 044333 (2011). https://doi.org/10.1103/PhysRevC.84.044333
Grasso, M., Gaudefroy, L., Khan, E., Niksic, T., Piekarewicz, J., Sorlin, O., Giai, N.V., Vretenar, D.: Nuclear “bubble” structure inSi34. Phys. Rev. C 79, 034318 (2009). https://doi.org/10.1103/PhysRevC.79.034318
Yao, J.M., Baroni, S., Bender, M., Heenen, P.H.: Beyond-mean-field study of the possible “bubble” structure of34Si. Phys. Rev. C 86, 014310 (2012). https://doi.org/10.1103/PhysRevC.86.014310
Schuetrumpf, B., Nazarewicz, W., Reinhard, P.G.: Central depression in nucleonic densities: Trend analysis in the nuclear density functional theory approach. Phys. Rev. C 96(2), 024306 (2017). https://doi.org/10.1103/PhysRevC.96.024306
Sobiczewski, A., Pomorski, K.: Description of structure and properties of superheavy nuclei. Prog. Part. Nucl. Phys. 58(1), 292 (2007). https://doi.org/10.1016/j.ppnp.2006.05.001 URL http://www.sciencedirect.com/science/article/pii/S0146641006000470.
Decharg, J., Berger, J.F., Dietrich, K., Weiss, M.S.: Superheavy and hyperheavy nuclei in the form of bubbles or semi-bubbles. Phys. Lett. B 451, 275–282 (1999). https://doi.org/10.1016/S0370-2693(99)00225-7
Singh, S.K., Ikram, M., Patra, S.K.: Ground state properties and bubble structure of synthesized superheavy nuclei. Int. J. Mod. Phys. E 22, 135001 (2012). https://doi.org/10.1142/S0218301313500018
Ikram, M., Singh, S.K., Usmani, A.A., Patra, S.K.: A relativistic mean field study of multi-strange system. Int. J. Mod. Phys. E 23(09), 1450052 (2014). https://doi.org/10.1142/S0218301314500529
Bender, M., Heenen, P.H.: Structure of superheavy nuclei. J. Phys. Conf. Ser. 420, 0120025 (2013). https://doi.org/10.1088/1742-6596/420/1/012002
Campi, X., Sprung, D.W.L.: Possible bubble nuclei -36Ar and 200Hg. Phys. Lett. 46B, 291–295 (1973). https://doi.org/10.1016/0370-2693(73)90121-4
Mutschler, A., Lemasson, A., Sorlin, O., Bazin, D., Borcea, C., Borcea, R., Dombrádi, Z., Ebran, J.P., Gade, A., Iwasaki, H., Khan, E., Lepailleur, A., Recchia, F., Roger, T., Rotaru, F., Sohler, D., Stanoiu, M., Stroberg, S.R., Tostevin, J.A., Vandebrouck, M., Weisshaar, D., Wimmer, K.: A proton density bubble in the doubly magic 34Si nucleus. Nat. Phys. 13, 152–156 (2017). https://doi.org/10.1038/nphys3916
Li, J.J., Long, W.H., Song, J.L., Zhao, Q.: Pseudospin-orbit splitting and its consequences for the central depression in nuclear density. Phys. Rev. C 93(5), 054312 (2016). https://doi.org/10.1103/PhysRevC.93.054312
Duguet, T., Som, V., Lecluse, S., Barbieri, C., Navrtil, P.: Ab initiocalculation of the potential bubble nucleusSi34. Phys. Rev. C 95(3), 034319 (2017). https://doi.org/10.1103/PhysRevC.95.034319
Phuc, L.T., Hung, N.Q., Dang, N.D.: Bubble nuclei within the self-consistent Hartree-Fock mean field plus pairing approach. Phys. Rev. C 97(2), 024331 (2018). https://doi.org/10.1103/PhysRevC.97.024331
Saxena, G., Kumawat, M., Kaushik, M., Singh, U.K., Jain, S.K., Singh, S.S., Aggarwal, M.: Implications of occupancy of 2s1/2 state in sd-shell within RMF+BCS approach. Int. J. Mod. Phys. E 26(11), 1750072 (2017). https://doi.org/10.1142/S0218301317500720
Saxena, G., Kumawat, M., Kaushik, M., Jain, S.K., Aggarwal, M.: Bubble structure in magic nuclei. Phys. Lett. B 788, 1–6 (2019). https://doi.org/10.1016/j.physletb.2018.08.076
Saxena, G., Kumawat, M., Agrawal, B.K., Aggarwal, M.: A systematic study of the factors affecting central depletion in nuclei. J. Phys. G: Nucl. Part. Phys. 46, 065105 (2019). https://doi.org/10.1088/1361-6471/ab0853
Saxena, G., Kumawat, M., Agrawal, B.K., Aggarwal, M.: Anti-bubble effect of temperature & deformation: A systematic study for nuclei across all mass regions between A = 20–300. Phys. Lett. B789, 323–328 (2019). https://doi.org/10.1016/j.physletb.2018.10.062
Yao, J.M., Mei, H., Li, Z.P.: Does a proton “bubble” structure exist in the low-lying states of 34Si? Phys. Lett. B723, 459–463 (2013). https://doi.org/10.1016/j.physletb.2013.05.049
Wu, X.Y., Yao, J.M., Li, Z.P.: Low-energy structure and anti-bubble effect of dynamical correlations in46Ar. Phys. Rev. C89(1), 017304 (2014). https://doi.org/10.1103/PhysRevC.89.017304
Nakada, H., Sugiura, K., Margueron, J.: Tensor-force effects on single-particle levels and proton bubble structure around theZorN=20magic number. Phys. Rev. C87, 067305 (2013). https://doi.org/10.1103/PhysRevC.87.067305
Sugahara, Y., Toki, H.: Nucl. Phys. A579, 557 (1994). https://doi.org/10.1016/0375-9474(94)90923-7
Singh, D., Saxena, G., Kaushik, M., Yadav, H.L., Toki, H.: Study of two-proton radioactivity within the relativistic mean-field plus bcs approach. Int. J. Mod. Phys. E21, 9 (2012). https://doi.org/10.1142/S0218301312500760
Yadav, H.L., Kaushik, M., Toki, H.: Description of drip-line nuclei within the relativistic mean field plus BCS approach. Int. J. Mod. Phys. E13, 647–696 (2004). https://doi.org/10.1142/S0218301304002375
Geng, L.S., Toki, H., Sugimoto, S., Meng, J.: Relativistic Mean Field Theory for Deformed Nuclei with Pairing Correlations. Prog. Theor. Phys. 110, 921–936 (2003). https://doi.org/10.1143/PTP.110.921
Gambhir, Y.K., Ring, P., Thimet, A.: Relativistic mean field theory for finite nuclei. Ann. Phys. 198, 132–179 (1990). https://doi.org/10.1016/0003-4916(90)90330-Q
Flocard, H., Quentin, P., Kerman, A.K., Vautherin, D.: Nuclear deformation energy curves with the constrained Hartree-Fock method. Nucl. Phys. A203, 433–472 (1973). https://doi.org/10.1016/0375-9474(73)90357-6
Saxena, G., Kumawat, M., Kaushik, M., Jain, S.K., Aggarwal, M.: Two-proton radioactivity with 2p halo in light mass nuclei A = 18–34. Phys. Lett. B775, 126–129 (2017). https://doi.org/10.1016/j.physletb.2017.10.055
Dobaczewski, J., Flocard, H., Treiner, J.: Hartree-Fock-Bogolyubov description of nuclei near the neutron-drip line. Nucl. Phys. A422, 103–139 (1984). https://doi.org/10.1016/0375-9474(84)90433-0
Bertsch, G.F., Esbensen, H.: Pair correlations near the neutron drip line. Ann. Phys. 209, 327–363 (1991). https://doi.org/10.1016/0003-4916(91)90033-5
Bender, M., Rutz, K., Reinhard, P.G., Maruhn, J.A.: Eur. Phys. J. A7, 467 (2000). https://doi.org/10.1007/s100500050419
Lalazissis, G.A., Karatzikos, S., Fossion, R., Pena Arteaga, D., Afanasjev, A.V., Ring, P.: The effective force NL3 revisited. Phys. Lett. B671, 36–41 (2009). https://doi.org/10.1016/j.physletb.2008.11.070
Long, W.h., Meng, J., Van Giai, N., Zhou, S.G.: New effective interactions in relativistic mean field theory with nonlinear terms and density-dependent meson-nucleon coupling. Phys. Rev. C69, 034319 (2004). https://doi.org/10.1103/PhysRevC.69.034319
Shukla, A., berg, S.: Phys. Rev. C89(1), 014329 (2014). https://doi.org/10.1103/PhysRevC.89.014329
Acknowledgements
G. Saxena and M. Aggarwal acknowledge the support by SERB for YSS/2015/000952 and WOS-A schemes respectively.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
This article is part of the Topical Collection on Proceedings of the International Conference on Hyperfine Interactions and their Applications (HYPERFINE 2019), Goa, India, 10-15 February 2019
Edited by S. N. Mishra, P. L. Paulose and R. Palit
Rights and permissions
About this article
Cite this article
Saxena, G., Kumawat, M., Agrawal, B.K. et al. Effect of quadrupole deformation & temperature on bubble structure in N = 14 nuclei. Hyperfine Interact 240, 74 (2019). https://doi.org/10.1007/s10751-019-1620-9
Published:
DOI: https://doi.org/10.1007/s10751-019-1620-9