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Favored one proton radioactivity within a one-parameter model

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Communications in Theoretical Physics 2022年第11期74卷 151-158页

作者： you-tian zou Xiao Pan Xiao-Hua Li Xi-Jun Wu Biao He School of Nuclear Science and Technology University of South ChinaHengyang 421001China Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment University of South ChinaHengyang 421001China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control Hunan Normal UniversityChangsha 410081China School of Math and Physics University of South ChinaHengyang 421001China College of Physics and Electronics Central South UniversityChangsha 410083China

In the present work,a phenomenological one-parameter model(OPM)based on the WentzelKramers-Brillouin(WKB)theory is applied to study the favored one proton radioactivity(the orbital angular momentum l taken away by the emitted proton is equal to zero)*** calculated results can reproduce the experimental data well within a factor of~*** addition,we extend the OPM to predict the half-lives of possible favored one proton radioactivity nuclei whose decay is energetically allowed or observed but not quantified in *** comparison,a universal decay law of one proton radioactivity(UDLP)is also *** is obviously found that our predicted results are close to the ones using *** predictions are helpful for searching for the new nuclides with favored one proton radioactivity.

关键词： favored one proton radioactivity one-parameter model half-lives

Systematic study of theαdecay preformation factors of the nuclei around the Z=82,N=126 shell closures within the generalized liquid drop model

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Chinese Physics C 2020年第9期44卷 130-141页

作者： Hong-Ming Liu you-tian zou Xiao Pan Xiao-Jun Bao Xiao-Hua Li School of Nuclear Science and Technology University of South ChinaHengyang 421001China Hunan Normal University Changsha 410081China Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment University of South ChinaHengyang 421001China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control Hunan Normal UniversityChangsha 410081China

In this study,we systematically investigate theαdecay preformation factors,Pα,and theαdecay half-lives of 152 nuclei around Z=82,N=126 closed shells based on the generalized liquid drop model(GLDM)with Pαbeing extracted from the ratio of the calculatedαdecay half-life to the experimental *** results show that there is a remarkable linear relationship between Pαand the product of valance protons(holes)Np and valance neutrons(holes)*** the same time,we extract theαdecay preformation factor values of the even–even nuclei around the Z=82,N=126 closed shells from the study of Sun et al.[***.G:***.,45:075106(2018)],in which theαdecay was calculated by two different microscopic *** find that theαdecay preformation factors are also related to *** with our previous studies[Sun et al.,***.C,94:024338(2016);Deng et al.,ibid.96:024318(2017);Deng et al.,ibid.97:044322(2018)]and that of Seif et al.,[***.C,84:064608(2011)],we suspect that this phenomenon of linear relationship for the nuclei around the above closed shells is *** may be caused by the effect of the valence protons(holes)and valence neutrons(holes)around the shell ***,using the formula obtained by fitting theαdecay preformation factor data calculated by the GLDM,we calculate theαdecay half-lives of these *** calculated results agree with the experimental data well.

关键词： αdecay αdecay preformation factor shell closure generalized liquid drop model

Released energy formula for proton radioactivity based on the liquid-drop model

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Communications in Theoretical Physics 2021年第7期73卷 89-94页

作者： Xiao Pan you-tian zou Hong-Ming Liu Biao He Xiao-Hua Li Dong Xiang School of Nuclear Science and Technology University of South ChinaHengyang 421001China College of Physics and Electronics Central South UniversityChangsha 410083China National Exemplary Base for International Sci&Tech.Collaboration of Nuclear Energy and Nuclear Safety University of South ChinaHengyang 421001China Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment University of South ChinaHengyang 421001China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control Hunan Normal UniversityChangsha 410081China

In this work,based on the liquid-drop model and considering the shell correction,we propose a simple formula to calculate the released energy of proton radioactivity(Q_(p)).The parameters of this formula are obtained by fitting the experimental data of 29 nuclei with proton radioactivity from ground *** standard deviation between the theoretical values and experimental ones is only 0.157 Me *** addition,we extend this formula to calculate 51 proton radioactivity candidates in region 51≤Z≤83 taken from the latest evaluated atomic mass table AME2016 and compared with the Q_(p)calculated by WS4 and *** calculated results indicate that the evaluation ability of this formula for Q_(p)is inferior to WS4 while better than HFB-29.

关键词： the released energy of proton radioactivity liquid-drop model shell correction

Systematic study of two-proton radioactivity with a screened electrostatic barrier

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Chinese Physics C 2021年第10期45卷 69-76页

作者： you-tian zou Xiao Pan Xiao-Hua Li Hong-Ming Liu Xi-Jun Wu Biao He School of Nuclear Science and Technology University of South ChinaHengyang 421001China Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment University of South ChinaHengyang 421001China School of Math and Physics University of South ChinaHengyang 421001China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control Hunan Normal UniversityChangsha 410081China College of Physics and Electronics Central South UniversityChangsha 410083China

In this study,a phenomenological model is proposed based on Wentzel-Kramers-Brillouin(WKB)theory and applied to investigate the two-proton(2p)radioactive half-lives of nuclei near or beyond the proton drip *** total diproton-daughter nucleus interaction potential is composed of the Hulthen-type electrostatic term and the centrifugal *** calculated 2p radioactive half-lives can accurately reproduce the existing 10 experimental datasets of five true 2p radioactive nuclei withσ=*** addition,we extend this model to predict the half-lives of possible 2p radioactive nuclei whose 2p radioactivity is energetically allowed or observed but not yet quantified in *** predicted results are in agreement with those obtained using the Gamow-like model,generalized liquid drop model,Sreeja formula,and Liu formula.

关键词： 2p radioactivity screening effect Hulthen potential half-lives

New Geiger-Nuttall law for two-proton radioactivity

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Chinese Physics C 2021年第2期45卷 487-492页

作者： Hong-Ming Liu you-tian zou Xiao Pan Jiu-Long Chen Biao He Xiao-Hua Li School of Nuclear Science and Technology University of South ChinaHengyang 421001China College of Physics and Electronics Central South UniversityChangsha 410083China Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment University of South ChinaHengyang 421001China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control Hunan Normal UniversityChangsha 410081China

In the present work,a two-parameter empirical formula is proposed,based on the Geiger-Nuttall law,to study two-proton( 2p )*** this formula,the calculated 2p radioactivity half-lives are in good agreement with the experimental data as well as with calculated results obtained by Goncalves et al.[***.B 774,14(2017)]using the effective liquid drop model(ELDM),Sreeja et al.[***.J.A 55,33(2019)]using a four-parameter empirical formula,and Cui et al.[***.C 101:014301(2020)]using a generalized liquid drop model(GLDM).In addition,this two-parameter empirical formula is extended to predict the half-lives of 22 possible 2p radioactivity candidates with 2p radioactivity released energy Q_(2p)>0 ,obtained from the latest evaluated atomic mass table *** predicted results are highly consistent with those obtained using other theoretical models such as the ELDM,GLDM and four-parameter empirical formula.

关键词： two-proton radioactivity Geiger-Nuttall law empirical formula

Systematic study on α-decay half-lives of uranium isotopes with a screened electrostatic barrier

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Chinese Physics C 2022年第11期46卷 212-220页

作者： Yang-Yang Xu De-Xing Zhu you-tian zou Xi-Jun Wu Biao He Xiao-Hua Li School of Nuclear Science and Technology University of South ChinaHengyang 421001China School of Math and Physics University of South ChinaHengyang 421001China College of Physics and Electronics Central South UniversityChangsha 410083China National Exemplary Base for International Sci&Tech.Collaboration of Nuclear Energy and Nuclear Safety University of South ChinaHengyang 421001China Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment University of South ChinaHengyang 421001China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control Hunan Normal UniversityChangsha 410081China

In the present work,we systematically study the α-decay half-lives of uranium(Z=92) isotopes based on the Gamow model with a screened electrostatic *** are only two adjustable parameters in our model *** parameter g and the screening parameter t in the Hulthen potential for considering the screened electrostatic effect of the Coulomb *** calculated results are in good agreement with experimental data,and the corresponding root-mean-square(rms) deviations of uranium isotopes with α transition orbital angular momentum l=0 and l=2 are 0.141 and 0.340,***,we extend this model to predict α-decay half-lives of uranium isotopes whose a decay is energetically allowed or observed but not yet quantified in *** comparison,the modified Hatsukawa formula(XLZ),the unified Royer formula(DZR),the universal decay law(UDL) and the Viola-Seaborg-Sobiczewski formula(VSS) are also *** predictions are basically consistent with each ***,the results also indicate that N=126 shell closure is still robust at Z=92 and the spectroscopic factor S_(α) is almost the same for uranium isotopes with the same l.

关键词： αdecay half-life Gamow model screened electrostatic barrier

Systematic study of two-proton radioactivity half-lives using the two-potential and Skyrme-Hartree-Fock approaches

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Chinese Physics C 2021年第12期45卷 122-128页

作者： Xiao Pan you-tian zou Hong-Ming Liu Biao He Xiao-Hua Li Xi-Jun Wu Zhen Zhang School of Nuclear Science and Technology University of South ChinaHengyang 421001China School of Math and Physics University of South ChinaHengyang 421001China Sino-French Institute of Nuclear Engineering and Technology Sun Yat-sen UniversityZhuhai 519082China College of Physics and Electronics Central South UniversityChangsha 410083China Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment University of South ChinaHengyang 421001China Key Laboratory of Low Dimensional Quantum Structures and Quantum Control Hunan Normal UniversityChangsha 410081China

In this work,we systematically study the two-proton(2_(p))radioactivity half-lives using the two-potential approach,and the nuclear potential is obtained using the Skyrme-Hartree-Fock approach and the Skyrme effective interaction of *** true 2_(p) radioactivity(Q2_(p)>0 and Q_(p)0 obtained from the evaluated atomic mass table *** calcu-lated results indicate a clear linear relationship between the logarithmic 2_(p) radioactivity half-lives(logio10T_(1/2))and coulomb parameters[(Z_(d)^(0.8)+l^(0.25))Q_(2_(p))^(-1/2)]considering the effect of orbital angular momentum proposed by Liu et al.[***.C 45,024108(2021)].For comparison,the generalized liquid drop model(GLDM),effective liquid drop model(ELDM),and Gamow-like model are also *** predicted results are consistent with those obtained using other relevant models.

关键词： two-proton radioactivity Skyrme-Hartree-Fock two-potential approach

Systematic study of two-proton radioactivity within a Gamow-like model

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Chinese Physics C 2021年第4期45卷 359-365页

作者： Hong-Ming Liu Xiao Pan you-tian zou Jiu-Long Chen Jun-Hao Cheng Biao He Xiao-Hua Li School of Nuclear Science and Technology University of South ChinaHengyang 421001China Xiang Yang NO.1 People's Hospital Xiangyang 441000China Nuclear Power Institute of China Chengdu 610041China College of Physics and Electronics Central South UniversityChangsha 410083China National Exemplary Base for International Sci&Tech.Collaboration of Nuclear Energy and Nuclear Safety University of South ChinaHengyang 421001China Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment University of South ChinaHengyang 421001China

In this study,based on the Gamow-like model,we systematically analyze two-proton(2p) radioactivity half-lives of nuclei near or beyond the proton drip *** is found that the calculated results can reproduce experimental data ***,using this model,we predict the half-lives of possible 2p radioactivity candidates whose 2p radioactivity is energetically allowed or observed but not yet quantified in the latest table of evaluated nuclear properties,i.e.,*** predicted results are in good agreement with those from other theoretical models and empirical formulas,namely the effective liquid drop model(ELDM),generalized liquid drop model(GLDM),Sreej a formula,and Liu formula.

关键词： two-proton radioactivity Gamow-like model half-life

Two-proton radioactivity within Coulomb and proximity potential model

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Chinese Physics C 2022年第4期46卷 150-155页

作者： De-Xing Zhu Hong-Ming Liu Yang-Yang Xu you-tian zou Xi-Jun Wu Peng-Cheng Chu Xiao-Hua Li School of Nuclear Science and Technology University of South ChinaHengyang 421001China National Exemplary Base for International Sci&Tech.Collaboration of Nuclear Energy and Nuclear Safety University of South ChinaHengyang 421001China Cooperative Innovation Center for Nuclear Fuel Cycle Technology&Equipment University of South ChinaHengyang 421001China School of Math and Physics University of South ChinaHengyang 421001China Institute of Theoretical Physics School of ScienceQingdao Technological UniversityQingdao 266000China

Considering the preformation probability of the two emitted protons in the parent nucleus,we extend the Coulomb and proximity potential model(CPPM)to systematically study two-proton(2p)radioactivity half-lives of the nuclei close to proton drip *** proximity potential chosen is Prox.81 proposed by Blocki et *** ***,we apply this model to predict the half-lives of possible 2p radioactive candidates whose 2p radioactivity is energetically allowed or observed but not yet quantified in the evaluated nuclear properties table *** predicted results are in good agreement with those from other theoretical models and empirical formulas,namely the effective liquid drop model(ELDM),generalized liquid drop model(GLDM),Gamow-like model,Sreeja formula and Liu formula.

关键词： two-proton radioactivity Coulomb and proximity potential model half-life