Constraints on the nuclear symmetry energy and its density slope from the &alpha; decay process

W. M. Seif; A. S. Hashem

doi:10.1088/1674-1137/42/6/064104

Chinese Physics C> 2018, Vol. 42> Issue(6) : 064104 DOI: 10.1088/1674-1137/42/6/064104

Constraints on the nuclear symmetry energy and its density slope from the α decay process

W. M. Seif ,
A. S. Hashem

1.
Cairo University, Faculty of Science, Department of Physics, 12613 Giza, Egyp

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Abstract：
We study the impact of the nuclear symmetry energy and its density dependence on the α-decay process. Within the framework of the preformed cluster model and the energy density formalism, we use different parameterizations of the Skyrme energy density functionals that yield different equations of state (EOS). Each EOS is characterized by a particular symmetryenergy coefficient (a_sym) and a corresponding density-slope parameter L. The stepwise trends of the neutron (proton) skin thickness of the involved nuclei with both a_sym and L do not clarify the oscillating behaviors of the α-decay half-life T_α with these quantities. We find that the change of the skin thickness after α-decay satisfactorily explains these behaviors. The presented results provide constraints on a_sym centered around an optimum value a_sym= 32 MeV, and on L between 41 and 57 MeV. These values of a_sym and L, which indicate larger reduction of the proton-skin thickness and less increase in the neutron-skin thickness after an α-decay, yield a minimum calculated half-life with the same extracted value of the α-preformation factor inside the parent nucleus.
- alpha decay ,
- symmetry energy ,
- neutron-skin thickness ,
- proton-skin

References

[1]	L. W. Chen, C. M. Ko, B. A. Li, and J. Xu, Phys. Rev. C, 82: 024321 (2010)
[2]	L. W. Chen, C. M. Ko, and B. A. Li, Phys. Rev. C, 76: 054316 (2007)
[3]	L. W. Chen, Phys. Rev. C, 83: 044308 (2011)
[4]	W. G. Newton and B. A. Li, Phys. Rev. C, 80: 065809 (2009)
[5]	M. B. Tsang et al, Phys. Rev. C, 86: 015803 (2012)
[6]	I. Vidana, C. Providencia, A. Polls, and A. Rios, Phys. Rev. C, 80: 045806 (2009)
[7]	C. Xu, B. A. Li, and L. W. Chen, Phys. Rev. C, 82: 054607 (2010)
[8]	L. W. Chen, B. J. Cai, C. M. Ko, B. A. Li, C. Shen, and J. Xu, Phys. Rev. C, 80: 014322 (2009)
[9]	A. Klimkiewicz et al, Phys. Rev. C, 76: 051603(R) (2007)
[10]	A. Carbone, G. Colo,, A. Bracco, L.-G. Cao, P. F. Bortignon, F. Camera, and O. Wieland, Phys. Rev. C, 81: 041301 (2010)
[11]	T. Aumann, C. A. Bertulani, F. Schindler, and S. Typel, Phys. Rev. Lett., 119: 262501 (2017)
[12]	W. M. Seif, Phys. Rev. C, 74: 034302 (2006)
[13]	M. Ismail, W. M. Seif, A. Adel, and A. Abdurrahman, Nucl. Phys. A, 958: 202 (2017)
[14]	Kirandeep Sandhu, Manoj K. Sharma, Amandeep Kaur, and Raj K. Gupta, Phys. Rev. C, 90: 034610 (2014)
[15]	W. M. Seif, Phys. Rev. C, 91: 014322 (2015); J. Phys. G: Nucl. Part. Phys., 40: 105102 (2013)
[16]	A. N. Andreyev et al., Phys. Rev. C, 87: 054311 (2013)
[17]	W. M. Seif, M. M. Botros, and A. I. Refaie, Phys. Rev. C, 92: 044302 (2015)
[18]	W. M. Seif, M. Ismail, and E. T. Zeini, J. Phys. G: Nucl. Part. Phys., 44: 055102 (2017)
[19]	S. Peltonen, D. S. Delion, and J. Suhonen, Phys. Rev. C, 75: 054301 (2007)
[20]	C. Xu, Z. Z. Ren, and Y. Q. Guo, Phys. Rev. C, 78: 044329 (2008)
[21]	W. M. Seif, M. Ismail, A. I. Refaie, and Laila H. Amer, J. Phys. G: Nucl. Part. Phys., 43: 075101 (2016)
[22]	D. D. Ni and Z. Z. Ren, Phys. Rev. C, 93: 054318 (2016)
[23]	M. Ismail and A. Adel, J. Phys. G: Nucl. Part. Phys., 44: 125106 (2017)
[24]	W. M. Seif and A. Abdurrahman, Chin. Phys. C, 42: 014106 (2018)
[25]	C. Xu, Z. Z. Ren, and J. Liu, Phys. Rev. C, 90: 064310 (2014)
[26]	N. Wan, C. Xu, Z. Z. Ren, and J. Liu, Phys. Rev. C, 96: 044331 (2017)
[27]	W. M. Seif, N. V. Antonenko, G. G. Adamian, and Hisham Anwer, Phys. Rev. C, 96: 054328 (2017)
[28]	D. Vautherin and D. M. Brink, Phys. Rev. C, 5: 626 (1972)
[29]	F. L. Stancu and D. M. Brink, Nucl. Phys. A, 270: 236 (1976)
[30]	P. Bonche, H. Flocard, and P. H. Heenen, Nucl. Phys. A, 467: 115 (1987)
[31]	E. Chabanat, E. Bonche, E. Haensel, J. Meyer, and R. Schaeffer, Nucl. Phys. A, 635: 231 (1998)
[32]	M. Dutra, O. Lourenco, J. S. Sa Martins, A. Delfino, J. R. Stone, and P. D. Stevenson, Phys. Rev. C, 85: 035201 (2012)
[33]	W. M. Seif, Eur. Phys. J. A, 38: 85 (2008)
[34]	V. Yu. Denisov and W. Noerenberg, Eur. Phys. J. A, 15: 375 (2002)
[35]	P.-G. Reinhard, Computational Nuclear Physics, Vol. 1, edited by K. Langanke, J. A. Maruhn, and S. E. Koonin (Berlin: Springer-Verlag, 1990) p.28
[36]	W. M. Seif and Hesham Mansour, Int. J. Mod. Phys. E, 24: 1550083 (2015)
[37]	M. Ismail, W. M. Seif, and H. El-Gebaly, Phys. Lett. B, 563: 53 (2003)
[38]	M. Ismail and W. M. Seif, Phys. Rev. C, 81: 034607 (2010)
[39]	S. S. Malik and R. K. Gupta, Phys. Rev. C, 39: 1992 (1989)
[40]	M. Iriondo, D. Jerrestam, and R. J. Liotta, Nucl. Phys. A, 454: 252 (1986)
[41]	R. G. Lovas, R. J. Liotta, A. Insolia, K. Varga, and D. S. Delion, Phys. Rep., 294: 265 (1998)
[42]	I. Tonozuka and A. Arima, Nucl. Phys. A, 323: 45 (1979)
[43]	S. M. S. Ahmed, R. Yahaya, and S. Radiman, Rom. Rep. Phys., 65: 1281 (2013)
[44]	M. Onsi, H. Przysiezniak and J. M. Pearson, Phys. Rev. C, 50: 460 (1994)
[45]	J. M. Pearson, Y. Aboussir, A. K. Dutta, R. C. Nayak, M. Farine, and F. Tondeur, Nucl. Phys. A, 528: 1 (1991)
[46]	J. M. G. Gomez and M. Casas, Few Body Systems, Suppl., 8: 374 (1995)
[47]	J. Friedrich and P. -G. Reinhard, Phys. Rev. C, 33: 335 (1986)
[48]	M. Rayet, M. Arnould, F. Tondeur, and G. Paulus, Astron. Astrophys., 116: 183 (1982)
[49]	J. M. Pearson and R. C. Nayak, Nucl. Phys. A, 668: 163 (2000)
[50]	F. Tondeur, M. Brack, M. Farine, and J. M. Pearson, Nucl. Phys. A, 420: 297 (1984)
[51]	S. Shlomo, Phys. Atom. Nucl., 73: 1390 (2010)
[52]	B. K. Agrawal, S. Shlomo, and V. K. Au, Phys. Rev. C, 72: 014310 (2005)
[53]	P. -G. Reinhard and H. Flocard, Nucl. Phys. A, 584: 467 (1995)
[54]	B. A. Brown, G. Shen, G. C. Hillhouse, J. Meng, and A. Trzcinska, Phys. Rev. C, 76: 034305 (2007)
[55]	B. A. Brown (unpublished)
[56]	B. K. Agrawal, S. Shlomo, and V. Kim Au, Phys. Rev. C, 68: 031304 (2003)
[57]	Q. B. Shen, Y. L. Han, and H. R. Guo, Phys. Rev. C, 80: 024604 (2009)
[58]	J. Margueron, J. Navarro, and N. Van Giai, Phys. Rev. C, 66: 014303 (2002)
[59]	E. Chabanat, E. Bonche, E. Haensel, J. Meyer, and R. Schaeffer, Nucl. Phys. A, 627: 710 (1997)
[60]	E. Chabanat, Ph.D. Thesis, University of Lyon, 1995
[61]	J. Meyer, Lectures at the 11th Joliot-Curie School of Nuclear Physics, Maubuisson, September 1993
[62]	T. Lesinski, M. Bender, K. Bennaceur, T. Duguet, and J. Meyer, Phys. Rev. C, 76: 014312 (2007)
[63]	P. Klpfel, P. -G. Reinhard, T. J. Brvenich, and J. A. Maruhn, Phys. Rev. C, 79: 034310 (2009)
[64]	A. W. Steiner, M. Prakash, J. M. Lattimer, and P. J. Ellis, Phys. Rep., 411: 325 (2005)
[65]	P.-G. Reinhard, D. J. Dean, W. Nazarewicz, J. Dobaczewski, J. A. Maruhn, and M. R. Strayer, Phys. Rev. C, 60: 014316 (1999)
[66]	S. Khler, Nucl. Phys. A, 258: 301 (1976)
[67]	P. -G. Reinhard (unpublished)
[68]	B. Alex Brown, Phys. Rev. Lett., 85: 5296 (2000)
[69]	X. Roca-Maza, M. Centelles, X. Vinas, and M. Warda, Phys. Rev. Lett., 106: 252501 (2011)
[70]	N. Wan, C. Xu, and Z. Z. Ren, Phys. Rev. C, 94: 044322 (2016)
[71]	M. Wang, G. Audi, F. G. Kondev, W. J. Huang, S. Naimi, and X. Xu, Chin. Phys. C, 41: 030003 (2017)
[72]	G. Audi, F. G. Kondev, Meng Wang, W. J. Huang, and S. Naimi, Chin. Phys. C, 41: 030001 (2017)
[73]	D. M. Deng and Z. Z. Ren, Phys. Rev. C, 96: 064306 (2017)
[74]	Chang Xu, G. Rpke, P. Schuck, Zhongzhou Ren, Y. Funaki, H. Horiuchi, A. Tohsaki, T. Yamada, and Bo Zhou, Phys. Rev. C, 95: 061306(R) (2017)
[75]	W. M. Seif, M. Shalaby, and M. F. Alrakshy, Phys. Rev. C, 84: 064608 (2011)

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W. M. Seif and A. S. Hashem. Constraints on the nuclear symmetry energy and its density slope from the α decay process[J]. Chinese Physics C, 2018, 42(6): 064104. doi: 10.1088/1674-1137/42/6/064104

W. M. Seif and A. S. Hashem. Constraints on the nuclear symmetry energy and its density slope from the α decay process[J]. Chinese Physics C, 2018, 42(6): 064104. doi: 10.1088/1674-1137/42/6/064104 shu

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沈阳化工大学材料科学与工程学院沈阳 110142

Constraints on the nuclear symmetry energy and its density slope from the α decay process

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