Empirical formulas for proton decay half-lives: Role of nuclear deformation and <em>Q</em>-value

V. Dehghani; S. A. Alavi

doi:10.1088/1674-1137/42/10/104101

Chinese Physics C> 2018, Vol. 42> Issue(10) : 104101 DOI: 10.1088/1674-1137/42/10/104101

Empirical formulas for proton decay half-lives: Role of nuclear deformation and Q-value

V. Dehghani ,
S. A. Alavi

1.
Department of Physics, University of Sistan and Baluchestan, Zahedan, Iran

Abstract
HTML
Reference
Related

PDF

Abstract：
Two empirical formulas for the proton decay half-lives including nuclear deformation are proposed. The formula with parameter set I gives the logarithm of the proton decay half-lives as an explicit function of the orbital angular momentum with eight adjustable parameters, whereas that with set Ⅱ represents the logarithm of the reduced half-lives as an implicit function of the angular momentum with seven adjustable parameters. Experimental data for the half-lives of 44 proton emitters in the ground state or isomeric state were used to obtain the parameters. The experimental and calculated Q values were used. Different sets of parameters were obtained for the ground state transition, isomeric state transition, and all transitions for both deformed and spherical nuclei. The best agreement with experimental data was observed for set I for deformed proton emitters with experimental Q values.
- proton emission ,
- deformation ,
- empirical formula

References

[1]	H. Geiger and J. M. Nuttall, Philos. Mag., 22:613 (1911); H. Geiger, Z. Phys., 8:45 (1922)
[2]	D.N. Poenaru, M. Ivascu, A. Sandulescu, and W. Greiner, Phys. Rev. C, 32:572 (1985); D. N. Poenaru, D. Schnabel, W. Greiner, D. Mazilu, and R. Gherghescu, At. Data Nucl. Data Tables, 48:231 (1991)
[3]	Y. J. Shi and W. J. Swiatecki, Phys. Rev. Lett., 54:300 (1985)
[4]	D. S. Delion, A. Insolia, and R. J. Liotta, Phys. Rev. Lett., 78:4549 (1997)
[5]	H. F. Zhang and G. Royer, Phys. Rev. C, 77:054318 (2008)
[6]	A. Bhagwat and Y. K. Gambhir, J. Phys. G:Nucl. Part. Phys., 35:065109 (2008)
[7]	D. Ni and Z. Ren, Phys. Rev. C, 80:014314 (2009)
[8]	V. Yu. Denisov, O. I. Davidovskaya, and I. Yu. Sedykh, Phys. Rev. C, 92:014602 (2015)
[9]	S. Dahmardeh, S. A. Alavi, and V. Dehghani, Nucl. Phys. A, 963:68 (2017)
[10]	S. Zhang, Y. Zhang, J. Cui, and Y. Wang, Phys. Rev. C, 95:014311 (2017)
[11]	Y. L. Zhang and Y. Z. Wang, Phys. Rev. C, 97:014318 (2018)
[12]	K. P. Jackson, C. U. Cardinal, H. C. Evans, N. A. Jelley, and J. Cerny, Phys. Lett. B, 33:281 (1970)
[13]	O. Klepper, T. Batsch, S. Hofmann, R. Kirchner, W. Kurcewicz, W. Reisdorf, E. Roeckl, D. Schardt, and G. Nyman, Z. Phys. A:At. Nucl., 305:125 (1982)
[14]	R. D. Page, P. J. Woods, R. A. Cunningham, T. Davinson, N. J. Davis, A. N. James, K. Livingston, P. J. Sellin, and A. C. Shotter, Phys. Rev. Lett., 72:1798 (1994)
[15]	C. N. Davids et al, Phys. Rev. Lett., 76:592 (1996)
[16]	K. P. Rykaczewski, Eur. Phys. J. A, 15:81 (2002)
[17]	C. N. Davids et al, Phys. Rev. C, 83:064320 (2011)
[18]	D. T. Joss et al, Phys. Lett. B, 641:34 (2006)
[19]	B. Blank and M. J. G. Borge, Prog. Part. Nucl. Phys., 60:403 (2008)
[20]	M. Pfutzner, M. Karny, L. V. Grigorenko, and K. Riisager, Rev. Mod. Phys., 84:567 (2012)
[21]	P. J. Woods and C. N. Davids, Annu. Rev. Nucl. Part. Sci., 47:541 (1997)
[22]	S. Aberg, P. B. Semmes, and W. Nazarewicz, Phys. Rev. C, 56:1762 (1997)
[23]	D. N. Basu, P. R. Chowdhury, and C. Samanta, Phys. Rev. C, 72:051601(R) (2005)
[24]	M. Balasubramaniam and N. Arunachalam, Phys. Rev. C, 71:014603 (2005)
[25]	D. S. Delion, R. J. Liotta, and R. Wyss, Phys. Rep., 424:113 (2006)
[26]	D. S. Delion, R. J. Liotta, and R. Wyss, Phys. Rev. Lett., 96:072501 (2006)
[27]	E. L. Medeiros, M. M. N. Rodrigues, S. B. Duarte, and O. A. P. Tavares, Eur. Phys. J. A, 34:417 (2007)
[28]	M. Bhattacharya and G. Gangopadhyay, Phys. Lett. B, 651:263 (2007)
[29]	J. M. Yao, B. Sun, P. J. Woods, and J. Meng, Phys. Rev. C, 77:024315 (2008)
[30]	J. M. Dong, H. F. Zhang, and G. Royer, Phys. Rev. C, 79:054330 (2009)
[31]	Y. Qian, Z. Ren, and D. Ni, Chin. Phys. Lett., 27:072301 (2010)
[32]	Y. B. Qian, Z. Z. Ren, D. D. Ni, and Z. Q. Sheng, Chin. Phys. Lett., 27:112301 (2010)
[33]	H. F. Zhang, Y. J. Wang, J. M. Dong, J. Q. Li, and W. Scheid, J. Phys. G:Nucl. Part. Phys., 37:085107 (2010)
[34]	L. S. Ferreira, E. Maglione, and P. Ring, Phys. Lett. B, 701:508 (2011)
[35]	T. R. Routray, S. K. Tripathy, B. B. Dash, B. Behera, and D. N. Basu, Eur. Phys. J. A, 47:92 (2011)
[36]	B. Sahu, S. K. Agarwalla, and S. K. Patra, Phys. Rev. C, 84:054604 (2011)
[37]	C. Qi, D. S. Delion, R. J. Liotta, and R. Wyss, Phys. Rev. C, 85:011303(R) (2012)
[38]	Q. Zhao, J. M. Dong, J. L. Song, and W. H. Long, Phys. Rev. C, 90:054326 (2014)
[39]	Y. Qian and Z. Ren, Eur. Phys. J. A, 52:68 (2016)
[40]	A. Zdeb, M. Warda, C. M. Petrache, and K. Pomorski, Eur. Phys. J. A, 52:323 (2016)
[41]	K. P. Santhosh and I. Sukumaran, Phys. Rev. C, 96:034619 (2017)
[42]	S. Modi, M. Patial, P. Arumugam, E. Maglione, and L. S. Ferreira, Phys. Rev. C, 95:054323 (2017)
[43]	Y. Z. Wang, J. P. Cui, Y. L. Zhang, S. Zhang, and J. Z. Gu, Phys. Rev. C, 95:014302 (2017)
[44]	D. S. Delion, Phys. Rev. C, 80:024310 (2009)
[45]	D. Ni, Z. Ren, Rom. Journ. Phys., 57:407 (2012)
[46]	Z. X. Zhang and J. M. Dong, Chin. Phys. C, 42:1 (2018)
[47]	C. Qi, F. R. Xu, R. J. Liotta, and R. Wyss, Phys. Rev. Lett., 103:072501 (2009)
[48]	C. Qi, F. R. Xu, R. J. Liotta, R. Wyss, M. Y. Zhang, C. Asawatangtrakuldee, and D. Hu, Phys. Rev. C, 80:044326 (2009)
[49]	A. A. Sonzogni, Nucl. Data Sheets, 95:837 (2002)
[50]	G. Audi, F. G. Kondev, M. Wang, W. J. Huang, and S. Naimi, Chin. Phys. C, 41:030001 (2017)
[51]	P. Mller, A. J. Sierk, T. Ichikawa, H. Sagawa, At. Data Nucl. Data Tables, 109:1 (2016)

[1]	Dong-Meng Zhang , Xiao-Yuan Hu , Lin-Jing Qi , Hong-Ming Liu , Ming Li , Xiao-Hua Li . Theoretical calculations of proton emission half-lives based on a deformed Gamow-like model. Chinese Physics C, 2024, 48(4): 044102. doi: 10.1088/1674-1137/ad243d
[2]	Hong-Ming Liu , You-Tian Zou , Xiao Pan , Jiu-Long Chen , Biao He , Xiao-Hua Li . New Geiger-Nuttall law for two-proton radioactivity. Chinese Physics C, 2021, 45(2): 024108. doi: 10.1088/1674-1137/abd01e
[3]	Xiao-Tao He , Chen Wang , Kai-Yuan Zhang , Cai-Wan Shen . Possible existence of bound nuclei beyond neutron drip lines driven by deformation. Chinese Physics C, 2021, 45(10): 101001. doi: 10.1088/1674-1137/ac1b99
[4]	A. Soylu , F. Koyuncu , G. Gangopadhyay , V. Dehghani , S. A. Alavi . Proton radioactivity half-lives with nuclear asymmetry factor. Chinese Physics C, 2021, 45(4): 044108. doi: 10.1088/1674-1137/abe03f
[5]	B. S. Ishkhanov;S. V. Sidorov;T. Yu. Tretyakova;E. V. Vladimirova . Empirical pairing gaps and neutron-proton correlations. Chinese Physics C, 2019, df87c41e-622f-49a7-b081-5c584df157aa(11): 14104-.
[6]	Xin-Xing Shi , Quan Liu , Min Shi , Zhong-Zhou Ren . Resonances with triaxial deformation in the complex scaled Green's function method. Chinese Physics C, 2018, 42(11): 114105. doi: 10.1088/1674-1137/42/11/114105
[7]	Zhi-Xing Zhang , Jian-Min Dong . A formula for half-life of proton radioactivity. Chinese Physics C, 2018, 42(1): 014104. doi: 10.1088/1674-1137/42/1/014104
[8]	S. A. Alavi , V. Dehghani . Alpha-induced reaction cross-section for Sm, U, Np targets: influence of hexadecapole deformation and deformed surface diffuseness. Chinese Physics C, 2017, 41(6): 064104. doi: 10.1088/1674-1137/41/6/064104
[9]	Rajnikant Makwana , S. Mukherjee , Jian-Song Wang , Zhi-Qiang Chen . New empirical formula for (γ, n) reaction cross section near GDR peak for elements with Z≥60. Chinese Physics C, 2017, 41(4): 044105. doi: 10.1088/1674-1137/41/4/044105
[10]	ZHENG Na , XU Hai-Bo . Transmission calculation by empirical numerical model and Monte Carlo simulation in high energy proton radiography of thick objects. Chinese Physics C, 2015, 39(10): 108201. doi: 10.1088/1674-1137/39/10/108201
[11]	FAN Guang-Wei , CAI Xiao-Lu , HAN Ti-Fei , LI Xue-Chao , REN Zhong-Zhou , XU Wang . Effect of nuclear deformation on direct capture reactions. Chinese Physics C, 2014, 38(4): 044101. doi: 10.1088/1674-1137/38/4/044101
[12]	FAN Guang-Wei , CAI Xiao-Lu , HAN Ti-Fei , LI Xue-Chao , REN Zhong-Zhou , XU Wang . Big deformation in ¹⁷C. Chinese Physics C, 2014, 38(1): 014101. doi: 10.1088/1674-1137/38/1/014101
[13]	DOU Hai-Feng , TANG Bin . An empirical formula for scattered neutron components in fast neutron radiography. Chinese Physics C, 2011, 35(5): 483-487. doi: 10.1088/1674-1137/35/5/016
[14]	DONG Jian-Min , ZHANG Hong-Fei , ZUO Wei , LI Jun-Qing . Unified fission model for proton emission. Chinese Physics C, 2010, 34(2): 182-185. doi: 10.1088/1674-1137/34/2/005
[15]	JIN Hua , SUN Zhen-Wu , ZHENG Ren-Rong . Influence of angular momentum in axially symmetric potentials with octupole deformation. Chinese Physics C, 2009, 33(9): 759-763. doi: 10.1088/1674-1137/33/9/009
[16]	ZHANG Dong-Hai , LI Hui-Ling . Investigation of self-affine multiplicity fluctuation of proton emission in 84Kr-AgBr interactions at 1.7 A GeV. Chinese Physics C, 2009, 33(5): 345-349. doi: 10.1088/1674-1137/33/5/005
[17]	LI Ru-Heng , HU Yong-Mao , LI Mao-Cai . An analysis of nuclear charge radii based on the empirical formula. Chinese Physics C, 2009, 33(S1): 123-125. doi: 10.1088/1674-1137/33/S1/039
[18]	ZHU Sheng-Jiang , WANG Jian-Guo , CHEN Yong-Jing , CHE Xing-Lai , DING Huai-Bo , LI Ming-Liang , XU Qiang , GU Long . Some progress in research on octupole deformation around Z=56, N=88 nuclei. Chinese Physics C, 2008, 32(S2): 127-130.
[19]	Li Junqing . Chaotic Motion of Classical Particles in Axially Symmetric Potentials with Octupole Deformation. Chinese Physics C, 1997, 21(S4): 33-40.
[20]	Ma Yingjun , Zheng Hua , Sun Huibin , Yang Hongting , Zhou Shangui , Ding Yougui , Huo Junde , Liu Yunzuo , Liu Xiangan , Wen Shuxian , Yang Chunxiang . Deformation-Driving Character of the 1/2^-[541] Orbital in ¹⁷¹Lu. Chinese Physics C, 1996, 20(S4): 313-317.

Access

Get Citation

V. Dehghani and S. A. Alavi. Empirical formulas for proton decay half-lives: Role of nuclear deformation and Q-value[J]. Chinese Physics C, 2018, 42(10): 104101. doi: 10.1088/1674-1137/42/10/104101

V. Dehghani and S. A. Alavi. Empirical formulas for proton decay half-lives: Role of nuclear deformation and Q-value[J]. Chinese Physics C, 2018, 42(10): 104101. doi: 10.1088/1674-1137/42/10/104101 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2018-04-18

Article Metric

Article Views(1332)
PDF Downloads(50)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

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

Empirical formulas for proton decay half-lives: Role of nuclear deformation and Q-value

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

Empirical formulas for proton decay half-lives: Role of nuclear deformation and Q-value

HTML

目录