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

Abstract
HTML
Reference
Related

PDF

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)

[1]	W.J. Huang , Meng Wang , Kondev F.G. , Audi G. , S. Naimi . The AME 2020 atomic mass evaluation (I). Evaluation of input data, and adjustment procedures. Chinese Physics C, 2021, 45(3): 030002. doi: 10.1088/1674-1137/abddb0
[2]	B. S. Ishkhanov , S. V. Sidorov , T. Yu. Tretyakova , E. V. Vladimirova . Empirical pairing gaps and neutron-proton correlations. Chinese Physics C, 2019, 43(1): 014104. doi: 10.1088/1674-1137/43/1/014104
[3]	Xiang Jiang , Nan Wang . Production mechanism of neutron-rich nuclei around N=126 in the multi-nucleon transfer reaction ¹³²Sn + ²⁰⁸Pb. Chinese Physics C, 2018, 42(10): 104105. doi: 10.1088/1674-1137/42/10/104105
[4]	Xiu-Lei Ren , Kai-Wen Li , Li-Sheng Geng , Bingwei Long , Peter Ring , Jie Meng . Leading order relativistic chiral nucleon-nucleon interaction. Chinese Physics C, 2018, 42(1): 014103. doi: 10.1088/1674-1137/42/1/014103
[5]	Lianrong Dai , Feng Pan , J. P. Draayer . A nucleon-pair and boson coexistent description of nuclei. Chinese Physics C, 2017, 41(7): 074103. doi: 10.1088/1674-1137/41/7/074103
[6]	S. Rostami , Muhammad Goharipour , Alireza Aleedaneshvar . Role of the intrinsic charm content of the nucleon from various light-cone models on γ+c-jet production. Chinese Physics C, 2016, 40(12): 123104. doi: 10.1088/1674-1137/40/12/123104
[7]	LI Cheng , TIAN Jun-Long , QIN Yu-Jiao , LI Jing-Jing , WANG Ning . Determination of the nucleon-nucleon interaction in the ImQMD model by nuclear reactions at the Fermi energy region. Chinese Physics C, 2013, 37(11): 114101. doi: 10.1088/1674-1137/37/11/114101
[8]	GUAN Xin , LI Hang , TAN Qi , PAN Feng . Nilsson mean-field plus the extended pairing model description of rare earth nuclei. Chinese Physics C, 2011, 35(8): 747-752. doi: 10.1088/1674-1137/35/8/009
[9]	Eberhard Klempt . Nucleon excitations. Chinese Physics C, 2010, 34(9): 1241-1246. doi: 10.1088/1674-1137/34/9/017
[10]	Atashbar Tehrani . Nucleon/nuclei polarized structure function, using Jacobi polynomials expansion. Chinese Physics C, 2010, 34(9): 1534-1537. doi: 10.1088/1674-1137/34/9/093
[11]	Huey-Wen Lin . Lattice results on nucleon/roper properties. Chinese Physics C, 2009, 33(12): 1238-1243. doi: 10.1088/1674-1137/33/12/030
[12]	YU Yi , GUO Jian-You . Solution to the eigenstates of pairing Hamiltonian in finite nuclei. Chinese Physics C, 2009, 33(S1): 134-136. doi: 10.1088/1674-1137/33/S1/042
[13]	WANG Yan-Zhao , ZHANG Hong-Fei , GAO Yong-Hua , HOU Zhao-Yu , DONG Jian-Min , DUAN Chun-Gui , ZUO Wei . Quark distributions in nuclei and nuclear effects on nucleon structure functions. Chinese Physics C, 2009, 33(4): 263-268. doi: 10.1088/1674-1137/33/4/005
[14]	FANG De-Qing , FU Yao , SUN Xiao-Yan , CAI Xiang-Zhou , GUO Wei , TIAN Wen-Dong , WANG Hong-Wei , MA Yu-Gang . Scaling property in one-nucleon removal reactions induced by exotic nuclei. Chinese Physics C, 2009, 33(3): 197-200. doi: 10.1088/1674-1137/33/3/007
[15]	CHEN Yong-Shou , GAO Zao-Chun . Triaxial rotation in atomic nuclei. Chinese Physics C, 2009, 33(S1): 1-4. doi: 10.1088/1674-1137/33/S1/001
[16]	WEN Wu , SHEN Hong . Nucleon properties in the nuclear medium. Chinese Physics C, 2008, 32(S2): 81-84.
[17]	LIU Yan-Rui , ZHU Shi-Lin . Δ contribution to the parity-violating nucleon-nucleon force. Chinese Physics C, 2008, 32(9): 700-704. doi: 10.1088/1674-1137/32/9/005
[18]	Shen Xiaoyan , Shen Pengnian , Yu Youwen , Zhang Zongye . Color Screening Effect and Nucleon-Nucleon Interaction. Chinese Physics C, 1993, 17(S2): 207-213.
[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.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2017-04-27

Article Metric

Article Views(1331)
PDF Downloads(38)
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

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.

HTML

Reference (39)

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

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article

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

HTML

目录