Nuclear structure and decay modes of Ra isotopes within an axially deformed relativistic mean field model

Rashmirekha Swain; S. K. Patra; B. B. Sahu

doi:10.1088/1674-1137/42/8/084102

Chinese Physics C> 2018, Vol. 42> Issue(8) : 084102 DOI: 10.1088/1674-1137/42/8/084102

Nuclear structure and decay modes of Ra isotopes within an axially deformed relativistic mean field model

1.
School of Applied Sciences, KⅡT Deemed to be University, Bhubaneswar-751024, Odisha, India
2.
Institute of Physics, Bhubaneswar-751005, India

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Abstract：
We examine the structural properties and half-life decay of Ra isotopes within the axially deformed Relativistic Mean-Field (RMF) theory with NL3 force parameters. We work out the binding energy (BE), RMS radii, two-neutron separation energies (S_2n), and some other observables. The results are in good agreement with the finite-range droplet model (FRDM) and experimental results. Considering the possibility of neutron magic number, the α-decay and cluster decay half-lives of Ra isotopes are calculated systematically using the Q-values obtained from the RMF formalism. These decay half-life calculations are carried out by taking three different empirical formulae. The calculated decay half-lives are found to be highly sensitive to the choice of Q-values. Possible shell or sub-shell closures are found at daughter nuclei with N=128 and N=126 when alpha and ⁸Be, ¹²C, ¹⁸O respectively are emitted from Ra isotopes. Though the cluster radioactivity is affected by the shell closure of parent and daughter, a long half-life indicates the stability of the parent, and a small parent half-life indicates that the shell stability of the daughter against decay.
- relativistic mean field ,
- nuclear bulk properties ,
- alpha and cluster decay half-life

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[1]	A. STndulescu, D. N. Poenaru, and W. Greiner, Sov. J. Part. Nucl., 11:528 (1980)
[2]	D. N. Poenaru, M. Ivascu, A. Sandulescu, and W. Greiner, J. Phys. G:Nucl. Part. Phys., 10:L183 (1984)
[3]	D. N. Poenaru, M. Ivascu, A. Sandulescu, and W. Greiner, Phys. Rev. C, 32:572 (1985)
[4]	D. N. Poenaru, W. Greiner, A. Sandulescu, and M. Ivascu, Phys. Rev. C, 32:2198 (1985)
[5]	W. Greiner, M. Ivascu, D. N. Poenaru, and A. Sandulescu, Z. Phys. A, 320 347 (1985)
[6]	Y. J. Shi and W. J. Swiatecki, Phys. Rev. Lett., 54:300 (1985)
[7]	G. A. Pik-Pichak and Sov. J. Nucl. Phys., 44:923 (1986)
[8]	G. Shanmugam and B. Kamalaharan, Phys. Rev. C, 38:1377 (1988)
[9]	B. Buck, A. C. Merchant, J. Phys. G:Nucl. Part. Phys., 15:615 (1989)
[10]	K. P. Santhosh, A. Joseph, Ind. J. of Pure App. Phys., 42:806 (2004)
[11]	K. P. Santhosh, A. Joseph, Pramana J. Phys., 55:375 (2000)
[12]	S. Landowne, C. H. Dasso, Phys. Rev. C, 33:387 (1986)
[13]	M. Iriondo, D. Jerrestan, and R. J. Liotta, Nucl. Phys. A, 454:252 (1986)
[14]	R. Blendoaske, T. Fliessbach, and H. Walliser, Nucl. Phys. A, 464:(75) (1987)
[15]	S. S. Malik, R. K. Gupta, Phys. Rev. C, 39:1992 (1989)
[16]	S. Kumar, R. K. Gupta, Phys. Rev. C, 55:218 (1997)
[17]	D. N. Poenaru, W. Greiner, in:C. Beck (Ed.), Clusters in Nuclei, in:Lecture Notes in Physics, vol., 818:Springer, Berlin, p. 1 (2010)
[18]	H. J. Krappe, K. Pomorski, in:Theory of Nuclear Fission:A Textbook, in:Lecture Notes in Physics, vol., 838:Springer, Berlin, p. 233 (2010)
[19]	D. N. Poenaru, R. A. Gherghescu, W. Greiner, Phys. Rev. Lett., 107:062503 (2011)
[20]	D. Ni, Z. Ren, T. Dong, C. Xu, Phys. Rev. C, 78:044310 (2008)
[21]	Z. Ren, C. Xu, Z. Wang, Phys. Rev. C, 70:034304 (2004).
[22]	D. Ni, Z. Ren, Phys. Rev. C, 82:024311 (2010)
[23]	S. Hofmann et al, Eur. Phys. J. A, 10:5 (2001)
[24]	Yu. Ts. Oganessian et al, Phys. Rev. C, 74:044602 (2006); Phys, Rev, C, 70:064609 (2004)
[25]	G. Gamow, Z. Phys., 51:204 (1928)
[26]	E. U. condon, R. W. Gurney, Nature, 122:439 (1928)
[27]	H. Geiger, J. M. Nuttall, Philos. Mag., 22:613 (1911)
[28]	A. Sandulescu, D. N. Poenaru, W. Greiner, and J. H. Hamilton, Phys. Rev. Lett., 54:490 (1985)
[29]	H. J. Rose and G. A. Jones, Nature, 307:245 (1984)
[30]	S. Gales et al, Phys. Rev. Lett., 53:759 (1984)
[31]	P. B. Price et al, Phys. Rev. Lett., 54:297 (1985)
[32]	L. P. Gaffney et al, Nature, 497:199 (2013)
[33]	S. K. Ghorui, B. B. Sahu, C. R. Praharaj, and S. K. Patra, Phys. Rev. C, 85:064327 (2012)
[34]	B. B. Sahu, S. K. Singh, S. K. Patra, C. R. Praharaj, M. Bhuyan, Z. Naik, and S. K. Ghorui, Acta Physica. Polo. B, 43:451 (2012)
[35]	B. D. Serot and J. D. Walecka, Adv. Nucl. Phys., 16:1 (1986)
[36]	Y. K. Gambhir, P. Ring, and A. Thimet, Ann. Phys. (NY), 198:132 (1990)
[37]	H. Toki, Y. Sugahara, D. Hirata, B. V. Carlson, and I.Tanihata, Nucl. Phys. A, 524:633 (1991)
[38]	C. Qi, F.R. Xu, R. J. Liotta, R. Wyss, M. Y. Zhang, C. Asawatangtrakuldee, and D. Hu, Phys. Rev. C, 80:044326 (2009)
[39]	Z. Sheng, D. Ni, and Z. Ren, J. Phys. G, Nucl. Part. Phys., 38:055103 (2011)
[40]	T. T. Ibrahim, S. M. Perez, S. M. Wyngaardt, B. Buck, and A. C. Merchant, Phys. Rev. C, 85:044313 (2012) 062503 (2011).
[41]	M. Balasubramaniam, R. K. Gupta, Phys. Rev. C, 60:064316 (1999)
[42]	J. L. Egido, L. M. Robledo, Nucl. Phys. A, 738:31 (2004)
[43]	L. M. Robledo, M. Warda, Int. J. Mod. Phys. E, 17:204 (2008)
[44]	L. M. Robledo, M. Warda, Int. J. Mod. Phys. E, 17:2275 (2008)
[45]	B. Buck, A. C. Merchant, and S. M. Perez, Nucl. Phys. A, 657:267 (1999)
[46]	K. P. Santhosh, R. K. Biju, and A. Joseph, J. Phys. G, Nucl. Part. Phys., 35:085102 (2008)
[47]	K. P. Santhosh, S. Sahadevan, B. Priyanka, and M. S. Unnikrishnan, Nucl. Phys. A, 882:49 (2012)
[48]	K. P. Santhosh, R. K. Biju, S. Sahadevan, and A. Joseph, Phys. Scr., 77:065210 (2008)
[49]	K. P. Santhosh, Phys. Scr., 81:015203 (2010)
[50]	D. N. Poenaru, R. A. Gherghescu, and W. Greiner, Phys. Rev. C, 83:014601 (2011)
[51]	S. S. Malik, R. K. Gupta, Phys. Rev. C, 39:1992 (1989)
[52]	D. N. Basu, Phys. Rev. C, 66:027601 (2002)
[53]	R. K. Gupta, S. Singh, R. K. Puri, W. Scheid, Phys. Rev. C, 47:561 (1993)
[54]	S. Kumar, R. K. Gupta, Phys. Rev. C, 49:1922 (1994)
[55]	K. P. Santhosh, S. Sahadevan, B. Priyanka, and M. S. Unnikrishnan, Nucl. Phys. A, 882:49 (2012)
[56]	T. R. Routray, J. Nayak, and D. N. Basu, Nucl. Phys. A, 826:223 (2009)
[57]	G. Sawhney, M. K. Sharma, R. K. Gupta, Phys. Rev. C, 83:064610 (2011)
[58]	A. Soylu, Y. Sert, O. Bayrak, and I. Boztosun, Eur. Phys. J. A, 48:128 (2012)
[59]	K. P. Santhosh, A. Joseph, and Pramana J. Phys., 59:679-684 (2002)
[60]	A. Soylu and S. Evlice, Nucl. Phys. A, 936:59 (2015)
[61]	K. P. Santhosh, T. Ambily, S. Sabina, R. K. Biju, and A. Joseph, Proc. Nat. Symp. Nucl. Phys. (India), 1:33 (2009)
[62]	K. P. Santhosh, S. Sabina, B. Priyanka, M. S. Unnikrishnan, G. J. Jayesh, and R. K. Biju, Proc. DAE Symp. Nucl. Phys. (India), 56:298 (2011)
[63]	G. A. Lalazissis et al, Phys. Rev. C, 55:540 (1997)
[64]	B. G. Todd-Rutel et al, Phys. Rev. Lett., 95:122501 (2005)
[65]	V. E. Viola, Jr. and G. T. Seaborg, J. Inorg. Nucl. Chem., 28:741 (1966)
[66]	G. Royer, Nucl. Phys. A, 848:279 (2010)
[67]	J. M. Dong, et al, Nucl. Phys. A, 832:198 (2010)
[68]	C. Qi, F. R. Xu, R. J. Liotta, and R. Wyss, Phys. Rev. Lett., 103:072501 (2009)
[69]	C. Qi, F. R. Xu, R. J. Liotta, R. Wyss, M. Y. Zhang, C. Asawatangtrakuldee, and D. Hu, Phys. Rev. C, 80:044326 (2009)
[70]	L. I. Schiff, Phys. Rev., 84:1 (1951)
[71]	M. H. Johnson and E. Teller, Phys. Rev., 98:783 (1955)
[72]	H. P. Durr and E. Teller, Phys. Rev., 101:494 (1956)
[73]	J. D. Walecka, Ann. Phys. (N.Y.), 83:491 (1974)
[74]	C. J. Horowitz, and B. D. Serot, Nucl. Phys. A, 368:503 (1981)
[75]	T. Gonzales-Llarena, J. L. Egido, G. A. Lalazissis, and P. Ring, Phys. Lett. B, 379:13 (1996)
[76]	W. Pannert, P. Ring, and J. Boguta, Phys. Rev. Lett., 59:2420 (1986)
[77]	Y. K. Gambhir, P. Ring, and A. Thimet, Ann. Phys. (N.Y.), 198:132 (1990)
[78]	J. Boguta, A. R. Bodmer, Nucl. Phys. A, 292:413 (1977)
[79]	S. K. Patra and C. R. Praharaj, Phys. Rev. C, 44:552 (1991)
[80]	M. Del Estal, M. Centelles, X. Vinas, and S. K. Patra, Phys. Rev. C 63:024314 (2001)
[81]	G. Gangopadhyay, Phys. Rev. C, 59:2541 (1999)
[82]	G. A. Lalazissis and S. Raman, Phys. Rev. C, 58:1467 (1998)
[83]	J. Meng et al, Prog. Part. Nucl. Phys., 57:470 (2006)
[84]	J. Konig, and P. Ring, Phys. Rev. Lett., 71:3079 (1993)
[85]	Z. Z. Ren, Phys. Rev. C, 65:051304(R) (2002)
[86]	S. Das and G. Gangopadhyay, J. Phys. G:Nucl. Part. Phys. 30:957 (2004)
[87]	H. F. Zhang et al, Phys. Rev. C, 71:054312 (2005)
[88]	J. Q. Li et al, Phys. Rev. C, 65:064305 (2002)
[89]	Renli Xu, Chen Wu, and Zhongzhou Ren, J. Phys. G:Nucl. Part. Phys., 39:085107 (2012)
[90]	Renli Xu, Chen Wu, Guoliang Ma, Deqing Fang, and Zhongzhou Ren Phys. Rev. C, 87:014335 (2012)
[91]	B. B. Sahu, S. K. Agarwalla, and S. K. Patra, Phys. Rev. C, 84:054604 (2011)
[92]	D. G. Madland and J. R. Nix, Nucl. Part. Phys. A, 476:1 (1981)
[93]	P. Moller and J. R. Nix, At. Data Nucl. Data Tables 39:213 (1988)
[94]	G. A. Lalazissis, et al., Phys. Rev. C, 60:014310 (1999)
[95]	A. Sobiczewski, Z. Patyk, S. Cwiok, Phys. Lett. B, 224:1 (1989)
[96]	A. M. Lane and R. G. Thomas, Rev. Mod. Phys., 30:257 (1958)
[97]	R. G. Lovas, R. J. Liotta, A. Insolia, K. Varga, and D. S. Delion, Phys. Rep., 294:265 (1998)
[98]	D. S. Delion, R. J. Liotta, and R. Wyss, Phys. Rev. Lett., 96:072501 (2006)
[99]	C. Qi, F. R. Xu, R. J. Liotta, and R. Wyss, Phys. Rev. Lett., 103:072501 (2009)
[100]	G. Royer, J. Phys. G. Nucl. Part. Phys., 26:1149 (2000)
[101]	P. Mller, J. R. Nix, W. D. Wyers, and W. J. Swiaterecki, At.Data and Nucl. Data Tables, 59:(1995) 185; P. Mller, J. R. Nix, and K. -L. Kratz, At. Data and Nucl. Data Tables, 66:1318 (1997)
[102]	S.Iversen, H.Nann, A.ObstKamal, K.Seth, N.Tanaka, C.L.Morris, H.A.Thiessen, K.Boyer, W.Cottingame, C.Fred Moore, R.L.Boudrie, D.Dehnhard, Phys, Lett, B, 82:51 (1979)
[103]	W. Hirt, Nuclear Physics B, 9:447, (1969)
[104]	B. Sahu et. al., Phy. Rev. C, 77:024604 (2008)
[105]	S.A. Changizi, C. Qi, Nucl. Phys. A, 951:97 (2016)
[106]	F. Iachello, and N. V. Zamfir, Phys Rev. Lett., 92:212501 (2004)
[107]	Bidhubhusan Sahu, S. K. Agarwalla, and S. K. Patra, Phys. Rev. C, 84:054604 (2011)
[108]	R. D. Page et al., Phys. Rev. C, 75:061302(R) (2007)
[109]	G. Audi, A. H. Wapstra, C. Thivault, Nucl. Phys. A, 729:337 (2003)

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Rashmirekha Swain, S. K. Patra and B. B. Sahu. Nuclear structure and decay modes of Ra isotopes within an axially deformed relativistic mean field model[J]. Chinese Physics C, 2018, 42(8): 084102. doi: 10.1088/1674-1137/42/8/084102

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Nuclear structure and decay modes of Ra isotopes within an axially deformed relativistic mean field model

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