Chinese Physics C > 2022, Vol. 46 > Issue(2): 024107 DOI: 10.1088/1674-1137/ac3904

Microscopic study of higher-order deformation effects on the ground states of superheavy nuclei around²⁷⁰Hs

1.
CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Science, Beijing 100190, China
2.
School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
3.
School of Nuclear Science and Technology, University of Chinese Academy of Sciences, Beijing 100049, China

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Abstract：
We investigate the effects of higher-order deformations $\beta_\lambda$ ( $\lambda=4,6,8,$ and 10) on the ground state properties of superheavy nuclei (SHN) near the doubly magic deformed nucleus $^{270}{\rm{Hs}}$ using the multidimensionally-constrained relativistic mean-field (MDC-RMF) model with five effective interactions: PC-PK1, PK1, NL3 ^*, DD-ME2, and PKDD. The doubly magic properties of $^{270}{\rm{Hs}}$ include large energy gaps at $N=162$ and $Z=108$ in the single-particle spectra. By investigating the binding energies and single-particle levels of $^{270}{\rm{Hs}}$ in the multidimensional deformation space, we find that, among these higher-order deformations, the deformation $\beta_6$ has the greatest impact on the binding energy and influences the shell gaps considerably. Similar conclusions hold for other SHN near $^{270}{\rm{Hs}}$ . Our calculations demonstrate that the deformation $\beta_6$ must be considered when studying SHN using MDC-RMF.
- density functional theory,
- superheavy nuclei,
- deformation effects

References

[1]	J. H. Hamilton, S. Hofmann, and Y. T. Oganessian, Annu. Rev. Nucl. Part. Sci.63, 383 (2013) doi:10.1146/annurev-nucl-102912-144535
[2]	W. Nazarewicz, Nat. Phys.14, 537 (2018) doi:10.1038/s41567-018-0163-3
[3]	S. A. Giuliani, Z. Matheson, W. Nazarewiczet al., Rev. Mod. Phys.91, 011001 (2019) doi:10.1103/RevModPhys.91.011001
[4]	S.-G. Zhou, Phys.43, 817 (2014) doi:10.7693/wl20141206
[5]	L.-L. Li, B.-N. Lu, N. Wanget al., Nucl. Phys. Rev.,31, 253 (2014), Proc. Symposium on Heavy Ion Collisions and Related Topics, Mar. 28-31, 2013, Shanghai
[6]	S.-G. Zhou, Nucl. Phys. Rev.34, 318 (2017) doi:10.11804/NuclPhysRev.34.03.318
[7]	X.-H. Zhou and H.-S. Xu, Phys.48, 640 (2019) doi:10.7693/wl20191003
[8]	X.-H. Zhou, Z.-Y. Zhang, Z.-G. Ganet al., Sci. Sin.-Phys. Mech. Astron.50, 112002 (2020) doi:10.1360/SSPMA-2020-0288
[9]	W. D. Myers and W. J. Swiatecki, Nucl. Phys.81, 1 (1966) doi:10.1016/0029-5582(66)90639-0
[10]	C. Y. Wong, Phys. Lett.21, 688 (1966) doi:10.1016/0031-9163(66)90127-2
[11]	A. Sobiczewski, F. A. Gareev, and B. N. Kalinkin, Phys. Lett.22, 500 (1966) doi:10.1016/0031-9163(66)91243-1
[12]	H. Meldner, Ark. Fys.36, 593 (1967)
[13]	U. Mosel and W. Greiner, Z. Phys. A222, 261 (1969) doi:10.1007/BF01392125
[14]	S. G. Nilsson, C. F. Tsang, A. Sobiczewskiet al., Nucl. Phys. A131, 1 (1969) doi:10.1016/0375-9474(69)90809-4
[15]	S. Hofmann and G. Münzenberg, Rev. Mod. Phys.72, 733 (2000) doi:10.1103/RevModPhys.72.733
[16]	K. Morita, Nucl. Phys. A944, 30 (2015) doi:10.1016/j.nuclphysa.2004.01.019
[17]	Y. T. Oganessian, A. Sobiczewski, and G. M. TerAkopian, Phys. Scr.92, 023003 (2017) doi:10.1088/1402-4896/aa53c1
[18]	K. Rutz, M. Bender, T. Bürvenichet al., Phys. Rev. C56, 238 (1997) doi:10.1103/PhysRevC.56.238
[19]	W. Zhang, J. Meng, S. Zhanget al., Nucl. Phys. A753, 106 (2005) doi:10.1016/j.nuclphysa.2005.02.086
[20]	A. Sobiczewski and K. Pomorski, Prog. Part. Nucl. Phys.58, 292 (2007) doi:10.1016/j.ppnp.2006.05.001
[21]	P. Möller, S. G. Nilsson, and J. R. Nix, Nucl. Phys. A229, 292 (1974) doi:10.1016/0375-9474(74)90789-1
[22]	S. Ćwiok, V. V. Pashkevich, J. Dudeket al., Nucl. Phys. A410, 254 (1983) doi:10.1016/0375-9474(83)90201-4
[23]	Z. Patyk and A. Sobiczewski, Nucl. Phys. A533, 132 (1991) doi:10.1016/0375-9474(91)90823-O
[24]	R. Smolanczuk, J. Skalski, and A. Sobiczewski, Phys. Rev. C52, 1871 (1995) doi:10.1103/PhysRevC.52.1871
[25]	J. Dvorak, W. Brüchle, M. Chelnokovet al., Phys. Rev. Lett.97, 242501 (2006) doi:10.1103/PhysRevLett.97.242501
[26]	Y. T. Oganessian, V. K. Utyonkov, F. S. Abdullinet al., Phys. Rev. C87, 034605 (2013) doi:10.1103/PhysRevC.87.034605
[27]	P. Ring and P. Schuck,The Nuclear Many-Body Problem(Springer-Verlag Berlin Heidelberg, 1980)
[28]	Z. Patyk and A. Sobiczewski, Phys. Lett. B256, 307 (1991) doi:10.1016/0370-2693(91)91766-O
[29]	I. Muntian, Z. Patyk, and A. Sobiczewski, Phys. Lett. B500, 241 (2001) doi:10.1016/S0370-2693(01)00090-9
[30]	H. L. Liu, F. R. Xu, and P. M. Walker, Phys. Rev. C86, 011301(R) (2012) doi:10.1103/PhysRevC.86.011301
[31]	H. L. Liu, F. R. Xu, P. M. Walkeret al., Phys. Rev. C83, 011303(R) (2011) doi:10.1103/PhysRevC.83.011303
[32]	X.-T. He and Z.-L. Chen, Chin. Phys. C43, 064106 (2019) doi:10.1088/1674-1137/43/6/064106
[33]	P. Ring, Prog. Part. Nucl. Phys.37, 193 (1996) doi:10.1016/0146-6410(96)00054-3
[34]	M. Bender, P.-H. Heenen, and P.-G. Reinhard, Rev. Mod. Phys.75, 121 (2003) doi:10.1103/RevModPhys.75.121
[35]	D. Vretenar, A. V. Afanasjev, G. A. Lalazissiset al., Phys. Rep.409, 101 (2005) doi:10.1016/j.physrep.2004.10.001
[36]	J. Meng, H. Toki, S. Zhouet al., Prog. Part. Nucl. Phys.57, 470 (2006) doi:10.1016/j.ppnp.2005.06.001
[37]	N. Paar, D. Vretenar, E. Khanet al., Rep. Prog. Phys.70, 691 (2007) doi:10.1088/0034-4885/70/5/R02
[38]	T. Nikšić, D. Vretenar, and P. Ring, Prog. Part. Nucl. Phys.66, 519 (2011) doi:10.1016/j.ppnp.2011.01.055
[39]	H. Liang, J. Meng, and S.-G. Zhou, Phys. Rep.570, 1 (2015) doi:10.1016/j.physrep.2014.12.005
[40]	J. Meng and S.-G. Zhou, J. Phys. G: Nucl. Part. Phys.42, 093101 (2015) doi:10.1088/0954-3899/42/9/093101
[41]	S.-G. Zhou, Phys. Scr.91, 063008 (2016) doi:10.1088/0031-8949/91/6/063008
[42]	B.-N. Lu, E.-G. Zhao, and S.-G. Zhou, Phys. Rev. C85, 011301(R) (2012) doi:10.1103/PhysRevC.85.011301
[43]	B.-N. Lu, J. Zhao, E.-G. Zhaoet al., Phys. Rev. C89, 014323 (2014) doi:10.1103/PhysRevC.89.014323
[44]	J. Zhao, B.-N. Lu, T. Nikšićet al., Phys. Rev. C93, 044315 (2016) doi:10.1103/PhysRevC.93.044315
[45]	B.-N. Lu, E.-G. Zhao, and S.-G. Zhou, Phys. Rev. C84, 014328 (2011) doi:10.1103/PhysRevC.84.014328
[46]	B.-N. Lu, E. Hiyama, H. Sagawaet al., Phys. Rev. C89, 044307 (2014) doi:10.1103/PhysRevC.89.044307
[47]	Y.-T. Rong, P. Zhao, and S.-G. Zhou, Phys. Lett. B807, 135533 (2020) doi:10.1016/j.physletb.2020.135533
[48]	Y.-T. Rong, Z.-H. Tu, and S.-G. Zhou, Phys. Rev. C104, 054321 (2021) doi:10.1103/PhysRevC.104.054321
[49]	J. Zhao, B.-N. Lu, D. Vretenaret al., Phys. Rev. C91, 014321 (2015) doi:10.1103/PhysRevC.91.014321
[50]	X. Meng, B.-N. Lu, and S.-G. Zhou, Sci. China-Phys. Mech. Astron.63, 212011 (2020) doi:10.1007/s11433-019-9422-1
[51]	J. Zhao, B.-N. Lu, E.-G. Zhaoet al., Phys. Rev. C86, 057304 (2012) doi:10.1103/PhysRevC.86.057304
[52]	J. Zhao, B.-N. Lu, E.-G. Zhaoet al., Phys. Rev. C95, 014320 (2017) doi:10.1103/PhysRevC.95.014320
[53]	C. Liu, S. Y. Wang, R. A. Barket al., Phys. Rev. Lett.116, 112501 (2016) doi:10.1103/PhysRevLett.116.112501
[54]	X. C. Chen, J. Zhao, C. Xuet al., Phys. Rev. C94, 021301(R) (2016) doi:10.1103/PhysRevC.94.021301
[55]	Y. Gambhir, P. Ring, and A. Thimet, Ann. Phys.198, 132 (1990) doi:10.1016/0003-4916(90)90330-Q
[56]	P. Ring, Y. K. Gambhir, and G. A. Lalazissis, Comput. Phys. Commun.105, 77 (1997) doi:10.1016/S0010-4655(97)00022-2
[57]	M. Warda, J. L. Egido, L. M. Robledoet al., Phys. Rev. C66, 014310 (2002) doi:10.1103/PhysRevC.66.014310
[58]	P. Möller, A. J. Sierk, T. Ichikawaet al., At. Data Nucl. Data Tables109-110, 1 (2016) doi:10.1016/j.adt.2015.10.002
[59]	P. Jachimowicz, M. Kowal, and J. Skalski, At. Data Nucl. Data Tables138, 101393 (2021) doi:10.1016/j.adt.2020.101393
[60]	P. W. Zhao, Z. P. Li, J. M. Yaoet al., Phys. Rev. C82, 054319 (2010) doi:10.1103/PhysRevC.82.054319
[61]	W. Long, J. Meng, N. V. Giaiet al., Phys. Rev. C69, 034319 (2004) doi:10.1103/PhysRevC.69.034319
[62]	G. A. Lalazissis, T. Nikšić, D. Vretenaret al., Phys. Rev. C71, 024312 (2005) doi:10.1103/PhysRevC.71.024312
[63]	G. A. Lalazissis, S. Karatzikos, R. Fossionet al., Phys. Lett. B671, 36 (2009) doi:10.1016/j.physletb.2008.11.070
[64]	F. Kondev, M. Wang, W. Huanget al., Chin. Phys. C45, 030001 (2021) doi:10.1088/1674-1137/abddae
[65]	W. Huang, M. Wang, F. Kondevet al., Chin. Phys. C45, 030002 (2021) doi:10.1088/1674-1137/abddb0
[66]	M. Wang, W. Huang, F. Kondevet al., Chin. Phys. C45, 030003 (2021) doi:10.1088/1674-1137/abddaf
[67]	S. Goriely, N. Chamel, and J. M. Pearson, Phys. Rev. C88, 024308 (2013) doi:10.1103/PhysRevC.88.024308
[68]	N. Wang, M. Liu, X.-Z. Wuet al., Phys. Lett. B734, 215 (2014) doi:10.1016/j.physletb.2014.05.049
[69]	Z. Ren, Phys. Rev. C65, 051304(R) (2002) doi:10.1103/PhysRevC.65.051304
[70]	Z.-Z. Ren, F. Tai, and D.-H. Chen, Phys. Rev. C66, 064306 (2002) doi:10.1103/PhysRevC.65.051304
[71]	L.-S. Geng, H. Toki, and J. Meng, Prog. Theo. Phys.113, 785 (2005) doi:10.1143/PTP.113.785
[72]	H. F. Zhang, Y. Gao, N. Wanget al., Phys. Rev. C85, 014325 (2012) doi:10.1103/PhysRevC.85.014325
[73]	M. Shi, Z.-M. Niu, and H.-Z. Liang, Chin. Phys. C43, 074104 (2019) doi:10.1088/1674-1137/43/7/074104
[74]	S. E. Agbemava, A. V. Afanasjev, D. Rayet al., Phys. Rev. C89, 054320 (2014) doi:10.1103/PhysRevC.89.054320
[75]	J. Erler, N. Birge, M. Kortelainenet al., Nature486, 509 (2012) doi:10.1038/nature11188
[76]	X. Xia, Y. Lim, P. Zhaoet al., At. Data Nucl. Data Tables121-122, 1 (2018) doi:10.1016/j.adt.2017.09.001
[77]	S. E. Agbemava, A. V. Afanasjev, T. Nakatsukasaet al., Phys. Rev. C92, 054310 (2015) doi:10.1103/PhysRevC.92.054310
[78]	S.-G. Zhou, J. Meng, P. Ringet al., Phys. Rev. C82, 011301(R) (2010) doi:10.1103/PhysRevC.82.011301
[79]	L.-L. Li, J. Meng, P. Ringet al., Phys. Rev. C85, 024312 (2012) doi:10.1103/PhysRevC.85.024312

Microscopic study of higher-order deformation effects on the ground states of superheavy nuclei around270Hs

Abstract：

References

Microscopic study of higher-order deformation effects on the ground states of superheavy nuclei around²⁷⁰Hs