Mass differences and neutron pairing in Ca, Sn and Pb isotopes

B. S. Ishkhanov; S. V. Sidorov; T. Yu. Tretyakova; E. V. Vladimirova

doi:10.1088/1674-1137/41/9/094101

Chinese Physics C> 2017, Vol. 41> Issue(9) : 094101 DOI: 10.1088/1674-1137/41/9/094101

Mass differences and neutron pairing in Ca, Sn and Pb isotopes

1.
Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow 119991, Russia
2.
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia
3.
Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow 119991, Russia
4.
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia

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Abstract：
Various estimates of the even-odd effect of the mass shell of atomic nuclei are considered. Based on the experimental mass values of the Ca, Sn, and Pb isotopes, the dependence of the energy gap on the neutron number is traced and the relationship of this characteristic to the properties of external neutron subshells is shown. In nuclei with closed proton shells, effects directly related to neutron pairing and effects of nucleon shells are discussed.
- nucleon interaction ,
- models of atomic nuclei ,
- nucleon pairing in atomic nuclei

References

[1]	M. G. Mayer, Phys. Rev., 75:1969-70(1949)
[2]	O. Haxel, H. H. D. Jensen, H. E. Suess, Phys. Rev., 75:1766(1949)
[3]	J. M. Eisenberg, W. Greiner Nuclear Theory. V.3. Microscopic theory of the nucleus (Amsterdam:North Holland Publ. Co., 1972), p.277-343
[4]	A. Bohr, B. R. Mottelson, Nuclear Structure, v. 1, (N.Y.:Benjamin, 1969), p.169-171
[5]	P. Ring, P. Schuck, The Nuclear Many-Body Problem, 3rd edition (Berlin:Springer, 2004), p. 217-243
[6]	W. Satula, J. Dobaczewski, W. Nazarewicz, Phys. Rev. Lett., 81:3599(1998)
[7]	K. Rutz, M. Bender, P.-G. Reinhard, J. A. Maruhn, Phys. Lett. B, 468:1(1999)
[8]	J. Dobaczewski, P. Magierski, W. Nazarewicz et al, Phys. Rev. C, 63:024308(2001)
[9]	M. Bender, P.-H. Heenen, P.-G. Reinhard, Rev. Mod. Phys., 75:121(2003)
[10]	C. Qi, R. Wyss, Phys. Scr., 91:013009(2016)
[11]	A. S. Jensen, P. G. Hansen, and B. Jonson, Nucl. Phys. A, 431:393(1984)
[12]	D. G. Madland, J. R. Nix, Nucl. Phys. A, 476:1-38(1988)
[13]	P. Mller, J. R. Nix, Nucl. Phys. A, 536:20-60(1992)
[14]	M. Bender, K. Rutz, P. G. Reinhard, and J. A. Maruhn, Eur. Phys. Jour. A, 8:59(2000)
[15]	T. Duguet, P. Bonche, P. H. Heenen, J. Meyer, Phys. Rev. C, 65:014311(2001)
[16]	P. Mller, J. R. Nix, W. D. Meyers, W. J. Swiatecki, At. Data and Nucl. Data Tabl., 59:185(1995)
[17]	G. Royer, M. Guilbaud, A. Onillon, Nucl. Phys. A, 847:24(2010)
[18]	M. Liu, N. Wang, Jour. of Phys. Conf. Ser., 420:012057(2013)
[19]	S. Halaire, J.-F. Berger, M. Girod, et al, Phys. Lett. B, 531:61-66(2002)
[20]	W. A. Friedman, G. F. Bertsch, Eur. Phys. Jour. A, 41:109-113(2009)
[21]	B. S. Ishkhanov, M. E. Stepanov, T. Yu. Tretyakova, Moscow University Phys. Bull., 69(1):1-20(2014)
[22]	D. Hove, A. S. Jensen, K. Riisager, Phys. Rev. C, 88:064329(2013)
[23]	S. A. Changizi, C. Qi, and R. Wyss, Nucl. Phys. A, 940:210(2015)
[24]	S. A. Changizi, C. Qi, Phys. Rev. C, 91:024305(2015)
[25]	S. E. Agbemava, A. V. Afanasjev, D. Ray, and P. Ring, Phys. Rev. C, 89:054320(2014)
[26]	M. A. Preston, Physics of the Nucleus (Mass.:Addison-Wesley, Reading, 1962), p. 172-206
[27]	G. Racah, Phys. Rev., 63:367(1943)
[28]	I. Talmi, Simple Models of Complex Nuclei. Contemp. Conc. in Phys., Book 7 (New York:Harwood Acad. Publ., 1993), p. 349-430.
[29]	I. Talmi, Phys. Rev., 107:326(1956)
[30]	M. Wang, G. Audi, F. G. Kondev et al, Chin. Phys. C, 41:030003(2016)
[31]	B. A. Brown in Fifty Years of Nuclear BCS, Pairing in Finite Systems, ed. by R.A. Broglia and V. Zelevinsky (Singapore:World Scientific, 2013)
[32]	B. S. Ishkhanov, M. E. Stepanov, T. Yu. Tretyakova, Moscow University Phys. Bull., 69(6):3(2014)
[33]	J. D. McCullen, B. F. Bayman, L. Zamick, Phys. Rev., 134:B515(1964)
[34]	A. Escuderos, L. Zamick, B. F. Bayman, arXiv:nucl-th/0506050v2
[35]	L. T. Imasheva, B. S. Ishkhanov, S. V. Sidorov et al, Bull. of RAS. Physics, 80(3):313(2016)
[36]	M. G. Mayer, Phys. Rev., 78:22-23(1950)
[37]	V. I. Isakov, Phys. At. Nucl., 76:828(2013)
[38]	L. T. Imasheva, B. S. Ishkhanov, M. E. Stepanov et al, Eur. Phys. Jour. WoC, 107:04005(2016)
[39]	B. A. Brown, Jour. of Phys:Conf. Ser., 580:012016(2015)

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[19]	Ren Guoxiao , Zhou Yinzao , Huang Rongqing . Dependence of 丨nteraction Cross Sections of High Energy Cosmic Ray Iron Nuclei (E≥3.6A GeV) on Atomic Weight of Targets. Chinese Physics C, 1988, 12(S1): 1-8.
[20]	Li Zibang , Peng Hongan . Statistical Model for Partons in Nucleon, EMC Effect and Gluon Distribution Functions of Nucleon Inside Nuclei. Chinese Physics C, 1988, 12(S2): 165-174.

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B. S. Ishkhanov, S. V. Sidorov, T. Yu. Tretyakova and E. V. Vladimirova. Mass differences and neutron pairing in Ca, Sn and Pb isotopes[J]. Chinese Physics C, 2017, 41(9): 094101. doi: 10.1088/1674-1137/41/9/094101

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Received: 2017-04-27

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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

Mass differences and neutron pairing in Ca, Sn and Pb isotopes

1. Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow 119991, Russia

2. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia

3. Faculty of Physics, M. V. Lomonosov Moscow State University, Moscow 119991, Russia

4. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow 119991, Russia

Received Date: 2017-04-27

Available Online: 2017-09-05

Abstract: Various estimates of the even-odd effect of the mass shell of atomic nuclei are considered. Based on the experimental mass values of the Ca, Sn, and Pb isotopes, the dependence of the energy gap on the neutron number is traced and the relationship of this characteristic to the properties of external neutron subshells is shown. In nuclei with closed proton shells, effects directly related to neutron pairing and effects of nucleon shells are discussed.

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Mass differences and neutron pairing in Ca, Sn and Pb isotopes

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