Band head spin assignment of superdeformed bands in Hg isotopes through power index formula

Honey Sharma; H. M. Mittal

doi:10.1088/1674-1137/42/5/054104

Chinese Physics C> 2018, Vol. 42> Issue(5) : 054104 DOI: 10.1088/1674-1137/42/5/054104

Band head spin assignment of superdeformed bands in Hg isotopes through power index formula

Honey Sharma ,
H. M. Mittal ^,

1.
Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, 144011, India

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Abstract：
The power index formula has been used to obtain the band head spin (I₀) of all the superdeformed (SD) bands in Hg isotopes. A least squares fitting approach is used. The root mean square deviations between the determined and the observed transition energies are calculated by extracting the model parameters using the power index formula. Whenever definite spins are available, the determined and the observed transition energies are in accordance with each other. The computed values of dynamic moment of inertia J⁽²⁾ obtained by using the power index formula and its deviation with the rotational frequency is also studied. Excellent agreement is shown between the calculated and the experimental results for J⁽²⁾ versus the rotational frequency. Hence, the power index formula works very well for all the SD bands in Hg isotopes expect for ¹⁹⁵Hg(2, 3, 4).
- superdeformed bands ,
- power index formula

References

[1]	V. M. Strutinsky, Nucl. Phys. A, 122:1-33(1968)
[2]	P. J. Twin, B. M. Nyako, A. H. Nelson et al, Phys. Rev. Lett., 57:811(1986)
[3]	I. Ragnarsson, S. G. Nilsson, and R. K. Sheline, Phys. Rev., 45:1(1978)
[4]	N. Sharma, H. M. Mittal, S. Kumar et al, Phys. Rev. C, 87:024322(2013)
[5]	J. A. Becker, E. A. Henry, A. Kuhnert et al, Phys. Rev. C, 46:889(1992)
[6]	J. Y. Zeng, J. Meng, C. S. Wu et al, Phys. Rev. C, 44:R1745(1991)
[7]	R. Piepenbring and K. V. Protasov, Z. Phys. A, 345:7(1993)
[8]	F. R. Xu and J. M. Hu, Phys. Rev. C, 49:1449(1994)
[9]	T. L. Khoo, M. P. Carpenter, T. Lauritsen et al, Phys. Rev. Lett., 76:1583(1996)
[10]	K. Hauschild, L. A. Bernstein, J. A. Becker et al, Phys. Rev. C, 55:2819(1997)
[11]	A. Lopez-Martens, F. Hannachi, A. Korichi et al, Phys. Lett. B, 380:18(1996)
[12]	M. J. Brinkman, J. A. Becker, I. Y. Lee et al, Phys. Rev. C, 53:R1461(1996)
[13]	G. Hackman, T. L. Khoo, M. P. Carpenter et al, Phys. Rev. Lett., 79:4100(1997)
[14]	A. Atac, M. Piiparinen, B. Herskind et al, Phys. Rev. Lett., 70:1069(1993)
[15]	C. H. Yu, C. Baktash, J. Dobaczewski et al, Phys. Rev. C, 60:031305(R) (1999)
[16]	C. E. Svensson, D. Rudolph, C. Baktash et al, Phys. Rev. Lett., 82:3400(1999)
[17]	M. A. Riley, D. M. Cullen, A. Alderson et al, Nucl. Phys. A, 512:178-188(1990)
[18]	M. W. Drigert, M. P. Carpenter, R. V. F. Janssens et al, Nucl. Phys. A, 530:452-474(1991)
[19]	E. F. Moore, R. V. F. Janssens, R. R. Chasman et al, Phys. Rev. Lett., 63:360(1989)
[20]	J. A. Becker, N. Roy, E. A. Henry et al, Phys. Rev. C, 41:R9(R) (1990)
[21]	D. Ye, R. V. F. Janssens, M. P. Carpenter et al, Phys. Rev. C, 41:R13(R) (1990)
[22]	P. H. Heenen, P. Bonche, H. Flocard et al, Nucl. Phys. A, 588:490-500(1995)
[23]	C. W. Beausang, E. A. Henry, J. A. Becker et al, Z. Phys. A, 335:325-330(1990)
[24]	B. Cederwall, R. V. F. Janssens, M. J. Brinkman et al, Phys. Rev. Lett., 72:3150(1994)
[25]	G. Hackman, R. Krucken, R. V. F. Janssens et al, Phys. Rev. C, 55:148(1997)
[26]	J. Meng, C. S. Wu and J. Y. Zeng, Phys. Rev. C, 44:2545(1991)
[27]	C. S. Wu, J. Y. Zeng, Z. Xing et al, Phys. Rev. C, 45:261(1992)
[28]	S. X. Liu and J. Y. Zeng, Phys. Rev. C, 58:3266(1998)
[29]	D. Bonastsos, S. B. Drenska, P. P. Raychev et al, J. Phys. G:Nucl. Part. Phys., 17:L67(1991)
[30]	Y. Liu, J. Song, H. Z. Sun et al, J. Phys. G:Nucl. Part. Phys., 24:117-124(1998)
[31]	A. M. Khalaf, K. E. Abdelmageed, and E. Saber, International Journal of Theoretical and Applied Sciences, 6:47-56(2014)
[32]	A. M. Khalaf, N. Mansour, M. M. Taha et al, Journal of Applied Phys., 7:1-11(2015)
[33]	V. S. Uma, A. Goel, A. Yadav et al, Pramana Journal of Phys., 86:185-190(2016)
[34]	A. S. Shalaby, Commun. Theor. Phys., (Beijing, China) 41:454(2004)
[35]	H. M. Mittal and A. Dadwal, Proceedings of the DAE-BRNS Symp. on Nucl. Phys., 60:132-133(2015)
[36]	H. Sharma and H. M. Mittal, Chinese Physics C, 41:124105(2017)
[37]	J. B. Gupta, A. K. Kavathekar, and R. Sharma, Phys. Scr., 51:316(1995)
[38]	X. L. Han and C. L. Wu, At. Data Nucl. Data Tables, 73:43(1999)
[39]	B. Singh, R. Zywina, and R. B. Firestone, Nuclear Data Sheets, 97:241-592(2002)

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[13]	Wu Chongshi , Zhou Zhining , Li Song . △I/=4 Bifurcation in A~190 Superdeformed Bands. Chinese Physics C, 1996, 20(S4): 391-397.
[14]	Xing Zheng , Chen Xingqu . Analysis of Identical Bands for Odd-A Superdeformed Nuclei in A ~190 Mass Region. Chinese Physics C, 1995, 19(S2): 207-213.
[15]	Lin Hai , Zhang Yang , Liu Lianshou . Refinement of α-Model and Analytical Calculation of Levy Index. Chinese Physics C, 1994, 18(S3): 275-282.
[16]	Chen Xingqu , Xing Zheng . Analysis of Superdeformed Bands in the Particle-Rotor Model. Chinese Physics C, 1994, 18(Z1): 95-102.
[17]	Lei Yian , Zeng Jinyan . An Accurate Calculation of the Superdeformed Bands in Hg and Pb. Chinese Physics C, 1993, 17(S2): 161-169.
[18]	Xing Zheng , Wang Yangii , Chen Xingqu . A Simple Two-Band Mixing Model of Superdeformed Bands. Chinese Physics C, 1993, 17(S4): 381-387.
[19]	Chen Xingqu , Xing Zheng . An Analysis of Energy Spectra and Determination of Spins for Superdeformed Bands in the A~190 Region. Chinese Physics C, 1991, 15(S4): 419-426.
[20]	Xing Zheng , Chen Xingqu . A Phenomenological Analysis of Superdeformed Bands in Even-Even Nuclei. Chinese Physics C, 1991, 15(S4): 411-417.

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Honey Sharma and H. M. Mittal. Band head spin assignment of superdeformed bands in Hg isotopes through power index formula[J]. Chinese Physics C, 2018, 42(5): 054104. doi: 10.1088/1674-1137/42/5/054104

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通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Band head spin assignment of superdeformed bands in Hg isotopes through power index formula

Corresponding author: H. M. Mittal,

1. Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, 144011, India

Received Date: 2018-01-18

Available Online: 2018-05-05

Abstract: The power index formula has been used to obtain the band head spin (I₀) of all the superdeformed (SD) bands in Hg isotopes. A least squares fitting approach is used. The root mean square deviations between the determined and the observed transition energies are calculated by extracting the model parameters using the power index formula. Whenever definite spins are available, the determined and the observed transition energies are in accordance with each other. The computed values of dynamic moment of inertia J⁽²⁾ obtained by using the power index formula and its deviation with the rotational frequency is also studied. Excellent agreement is shown between the calculated and the experimental results for J⁽²⁾ versus the rotational frequency. Hence, the power index formula works very well for all the SD bands in Hg isotopes expect for ¹⁹⁵Hg(2, 3, 4).

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Band head spin assignment of superdeformed bands in Hg isotopes through power index formula

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