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

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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)

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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

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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

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

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