本文首先介绍了两种描述低能重离子核反应的理论,然后基于这些理论发展了一个描述超重核合成的理论模型,即双核模型(dinuclear system model)。不同于Adamian的处理,本文的模型采用数值求解主方程的方法来描述重离子的熔合过程,重点讨...本文首先介绍了两种描述低能重离子核反应的理论,然后基于这些理论发展了一个描述超重核合成的理论模型,即双核模型(dinuclear system model)。不同于Adamian的处理,本文的模型采用数值求解主方程的方法来描述重离子的熔合过程,重点讨论了熔合过程中主方程的发展演化,选择一维至三维不同的宏观自由度说明重离子熔合机制,为今后进一步发展模型与预言新核素提供理论依据。展开更多
Cluster radioactivity is studied within the generalized liquid drop model(GLDM),in which the shell correction energy,pairing energy,and cluster preformation factor are considered.The calculations show significant impr...Cluster radioactivity is studied within the generalized liquid drop model(GLDM),in which the shell correction energy,pairing energy,and cluster preformation factor are considered.The calculations show significant improvements and can reproduce the experimental data within a factor of 8.04 after considering these physical effects.In addition,the systematic trend of the cluster preformation factors is discussed in terms of the N_(p)N_(n)scheme to study the influence of the valence proton-neutron interaction and shell effect on cluster radioactivity.It is found that log10Pcis linearly related to N_(p)N_(n).This is in agreement with a recent study[L.Qi et al.,Phys.Rev.C 108,014325(2023)],in which log10Pc,obtained using different theoretical models and treatment methods than those used in this study,also had a linear relationship with N_(p)N_(n).Combined with the work by Qi et al.,this study suggests that the linear relationship between log10Pcand N_(p)N_(n)is model-independent and both the shell effect and valence proton-neutron interaction play essential roles in cluster radioactivity.An analytical formula is proposed to calculate the cluster preformation factor based on the N_(p)N_(n)scheme.In addition,the cluster preformation factors and the cluster radioactivity half-lives of some heavy nuclei are predicted,which can provide a reference for future experiments.展开更多
We calculate the cooling curves of superfluid neutron stars with the Brueckner-Hartree-Fock(BHF)equation of state(EOS)by employing the AV18 two body force with a microscopic three body force.The gap energy is calculat...We calculate the cooling curves of superfluid neutron stars with the Brueckner-Hartree-Fock(BHF)equation of state(EOS)by employing the AV18 two body force with a microscopic three body force.The gap energy is calculated within the BCS theory,including in the pairing interaction not only two body force but also three body force.The calculated cooling curves show that the nucleon superfluidity strongly reduces the difference between standard and enhanced cooling.This enables one to explain the majority of observational data by the enhanced cooling of the stars with superfluid cores.The possibility of strong direct Urca processes still cannot be excluded from the cooling analysis.展开更多
Atomic Mass Evaluation(AME2016) has replenished the latest nuclear binding energy data. Other physical observables, such as the separated energies, decay energies, and the pairing gaps, were evaluated based on the new...Atomic Mass Evaluation(AME2016) has replenished the latest nuclear binding energy data. Other physical observables, such as the separated energies, decay energies, and the pairing gaps, were evaluated based on the new mass table. An improved Weizs?cker-Skyrme-type(WS-type) nuclear mass model with only 13 parameters was presented, including the correction from two combinatorial radial basis functions(RBFs), where shell and pairing effects are simultaneously dealt with using a Strutinsky-like method. The RBFs code had 2267 updated experimental binding energies as inputs, and their correspondent root-mean square(rms) deviations dropped to 149 keV. For the training of other mass models by RBFs correction, rms deviations are clustered between 100 keV to 200 keV. Compared with other experimental quantities, the rms deviations calculated within the improved WS-type model falls between 100 keV and 250 keV. We extrapolate the binding energies to 12435 nuclei, which covers the ranges 8 ≤ Z ≤ 128 and 8 ≤ N ≤ 251 in the framework of the WS-type model with RBFs correction. Simultaneously, the ground state deformations β_(2,4,6) and all parts in the WS-type mass formula are presented in this paper. Finally, we tabulated all calculated characteristics within the improved formula and linked them to https://github.com/lukeronger/Nuclear Data-LZU: nuclear binding energies, one-nucleon and two-nucleon separation energies(S_(n,p,2n,2p)), and β-decay energies( Q_α and Q_(β-,β+,EC)), and the pairing gap ?_n and ?_p.展开更多
A radial basis function network(RBFN)approach is adopted for the first time to optimize the calculation of$\alpha$decay half-life in the generalized liquid drop model(GLDM),while concurrently incorporating the surface...A radial basis function network(RBFN)approach is adopted for the first time to optimize the calculation of$\alpha$decay half-life in the generalized liquid drop model(GLDM),while concurrently incorporating the surface diffuseness effect.The calculations presented herein agree closely with the experimental half-lives for 68 superheavy nuclei(SHN),achieving a remarkable reduction of 40%in the root-mean-square(rms)deviations of half-lives.Furthermore,using the RBFN method,the half-lives for four SHN isotopes,252-288Rf,272-310Fl,286-316119,and 292-318120,are predicted using the improved GLDM with the diffuseness correction and the decay energies from WS4 and FRDM as inputs.Therefore,we conclude that the diffuseness effect should be embodied in the proximity energy.Moreover,increased application of neural network methods in nuclear reaction studies is encouraged.展开更多
The competition between α-decay and spontaneous fission of superheavy nuclei(SHN) is investigated by the generalized liquid drop model(GLDM) and the modified Swiatecki's formula respectively. The theoretical dec...The competition between α-decay and spontaneous fission of superheavy nuclei(SHN) is investigated by the generalized liquid drop model(GLDM) and the modified Swiatecki's formula respectively. The theoretical decay modes are in good agreement with the experimental results. Predictions are made for as-yet unobserved superheavy nuclei. The theoretical calculations show that the nuclei^298 120,^295 119,^290 118,^291 117,^287 117,^294 116,^289 116,^286 116,^285 116,^284 115,^283 115,^283 114,^282 114,^280 113,^276 112,^275 112,^274 112,^273 111,^272 110,^265 109 may be synthesized experimentally in the near future since they not only have relatively large predicted cross sections but can also be identified via α-decay chains.展开更多
The generalized liquid-drop model(GLDM)with the microscopic shell correction from relativistic Hartree-Fock(RHF)calculations is used to explore theα-decay of superheavy nuclei.The known nuclei with Z=106−118 are chos...The generalized liquid-drop model(GLDM)with the microscopic shell correction from relativistic Hartree-Fock(RHF)calculations is used to explore theα-decay of superheavy nuclei.The known nuclei with Z=106−118 are chosen as examples for testing.The calculated half-lives ofα-decay agree with the experimental data better than those from the GLDM with the shell correction in the Weizsa¨cker-Skyrme model.Moreover,the influence of the decay energy Q_(α) onα-decay is investigated.It is determined that the Q_(α) values obtained from the WS4 model with radial basis function(RBF)correction match the experimental data optimally.Owing to these advantages,the GLDM with the RHF shell correction and WS4+RBF Q_(α) values is adopted to predict theα-decay lifetime for the unknown superheavy nuclei with Z=118−120.The trend of the availableα-decay half-lives according to the neutron number is similar to the trends of the values from the GLDM calculation without shell correction as well as the universal decay law(UDL)formula.Comparably,the RHF shell correction depresses(raises)theα-decay lifetime for most nuclei with N<186(N>186).In comparison with the half-lives of spontaneous fission,it can be concluded that theα-decay is dominant in the superheavy nuclei ^(281−304)118,^(284−306)119,and ^(287−308)120.These results are beneficial to the exploration of superheavy nuclei in experiments.展开更多
A nuclear mass formula based on the macroscopic microscopic approach is proposed,in which the number of model parameters is reduced compared with other macroscopic microscopic models.The root mean square(RMS)deviation...A nuclear mass formula based on the macroscopic microscopic approach is proposed,in which the number of model parameters is reduced compared with other macroscopic microscopic models.The root mean square(RMS)deviation with respect to 2314 training sets(measured nuclear masses)is reduced to 0.447 MeV,and the calculated value of each nucleus is no more than 0.8%different from the experimental value.The single and two nucleon separation energies and the shell gaps are calculated to test the model.The shell corrections and double magic number of superheavy nuclei are also analyzed.展开更多
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 ext...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 one.The results show that there is a remarkable linear relationship between Pαand the product of valance protons(holes)Np and valance neutrons(holes)Nn.At 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.[J.Phys.G:Nucl.Part.Phys.,45:075106(2018)],in which theαdecay was calculated by two different microscopic formulas.We find that theαdecay preformation factors are also related to NpNn.Combining with our previous studies[Sun et al.,Phys.Rev.C,94:024338(2016);Deng et al.,ibid.96:024318(2017);Deng et al.,ibid.97:044322(2018)]and that of Seif et al.,[Phys.Rev.C,84:064608(2011)],we suspect that this phenomenon of linear relationship for the nuclei around the above closed shells is model-independent.This may be caused by the effect of the valence protons(holes)and valence neutrons(holes)around the shell closures.Finally,using the formula obtained by fitting theαdecay preformation factor data calculated by the GLDM,we calculate theαdecay half-lives of these nuclei.The calculated results agree with the experimental data well.展开更多
The barrier against the spontaneous fission has been determined within the Generalized Liquid Drop Model (GLDM) including the mass and charge asymmetry, and the proximity energy. The shell correction of the spherica...The barrier against the spontaneous fission has been determined within the Generalized Liquid Drop Model (GLDM) including the mass and charge asymmetry, and the proximity energy. The shell correction of the spherical parent nucleus is calculated by using the Strutinsky method, and the empirical shape-dependent shell correction is 6mp10yed during the deformation process. A quasi-molecular shape sequence has been defined to describe the whole process from one-body shape to two-body shape system, and a two-touching-ellipsoid is adopted when the superdeformed one-body system reaches the rupture point. On these bases the spontaneous fission barriers are systematically studied for nuclei from 2a^Th to 249 Cm for different possible exiting channels with the different mass and charge asymmetries. The double, and triple bumps are found in the fission potential energy in this region, which roughly agree with the experimental results. It is found that at around Sn-like fragment the outer fission barriers are lower, while the partner of the Sn-like fragment is in the range near l^SRu where the ground-state mass is lowered by allowing axially symmetric shapes. The preferable fission channels are distinctly pronounced, which should be corresponding to the fragment mass distributions.展开更多
From both the fundamental and applied perspectives, fragment mass distributions are important observablesof fission. We apply the Bayesian neural network (BNN) approach to learn the existing neutron induced fissionyie...From both the fundamental and applied perspectives, fragment mass distributions are important observablesof fission. We apply the Bayesian neural network (BNN) approach to learn the existing neutron induced fissionyields and predict unknowns with uncertainty quantification. Comparing the predicted results with experimentaldata, the BNN evaluation results are found to be satisfactory for the distribution positions and energy dependenciesof fission yields. Predictions are made for the fragment mass distributions of several actinides, which may beuseful for future experiments.展开更多
文摘本文首先介绍了两种描述低能重离子核反应的理论,然后基于这些理论发展了一个描述超重核合成的理论模型,即双核模型(dinuclear system model)。不同于Adamian的处理,本文的模型采用数值求解主方程的方法来描述重离子的熔合过程,重点讨论了熔合过程中主方程的发展演化,选择一维至三维不同的宏观自由度说明重离子熔合机制,为今后进一步发展模型与预言新核素提供理论依据。
基金Supported by the National Natural Science Foundation of China(12175170)Hubei Provincial Natural Science Foundation of China(2023AFB035)+1 种基金Hunan Outstanding Youth Science Foundation(2022JJ10031)Natural Science Research Project of Yichang City(A23-2-028)。
文摘Cluster radioactivity is studied within the generalized liquid drop model(GLDM),in which the shell correction energy,pairing energy,and cluster preformation factor are considered.The calculations show significant improvements and can reproduce the experimental data within a factor of 8.04 after considering these physical effects.In addition,the systematic trend of the cluster preformation factors is discussed in terms of the N_(p)N_(n)scheme to study the influence of the valence proton-neutron interaction and shell effect on cluster radioactivity.It is found that log10Pcis linearly related to N_(p)N_(n).This is in agreement with a recent study[L.Qi et al.,Phys.Rev.C 108,014325(2023)],in which log10Pc,obtained using different theoretical models and treatment methods than those used in this study,also had a linear relationship with N_(p)N_(n).Combined with the work by Qi et al.,this study suggests that the linear relationship between log10Pcand N_(p)N_(n)is model-independent and both the shell effect and valence proton-neutron interaction play essential roles in cluster radioactivity.An analytical formula is proposed to calculate the cluster preformation factor based on the N_(p)N_(n)scheme.In addition,the cluster preformation factors and the cluster radioactivity half-lives of some heavy nuclei are predicted,which can provide a reference for future experiments.
文摘We calculate the cooling curves of superfluid neutron stars with the Brueckner-Hartree-Fock(BHF)equation of state(EOS)by employing the AV18 two body force with a microscopic three body force.The gap energy is calculated within the BCS theory,including in the pairing interaction not only two body force but also three body force.The calculated cooling curves show that the nucleon superfluidity strongly reduces the difference between standard and enhanced cooling.This enables one to explain the majority of observational data by the enhanced cooling of the stars with superfluid cores.The possibility of strong direct Urca processes still cannot be excluded from the cooling analysis.
基金Supported by the National Natural Science Foundation of China(11675066 and 11705055)the Fundamental Research Funds for the Central Universities(lzujbky-2017-ot04)Feitian Scholar Project of Gansu province
文摘Atomic Mass Evaluation(AME2016) has replenished the latest nuclear binding energy data. Other physical observables, such as the separated energies, decay energies, and the pairing gaps, were evaluated based on the new mass table. An improved Weizs?cker-Skyrme-type(WS-type) nuclear mass model with only 13 parameters was presented, including the correction from two combinatorial radial basis functions(RBFs), where shell and pairing effects are simultaneously dealt with using a Strutinsky-like method. The RBFs code had 2267 updated experimental binding energies as inputs, and their correspondent root-mean square(rms) deviations dropped to 149 keV. For the training of other mass models by RBFs correction, rms deviations are clustered between 100 keV to 200 keV. Compared with other experimental quantities, the rms deviations calculated within the improved WS-type model falls between 100 keV and 250 keV. We extrapolate the binding energies to 12435 nuclei, which covers the ranges 8 ≤ Z ≤ 128 and 8 ≤ N ≤ 251 in the framework of the WS-type model with RBFs correction. Simultaneously, the ground state deformations β_(2,4,6) and all parts in the WS-type mass formula are presented in this paper. Finally, we tabulated all calculated characteristics within the improved formula and linked them to https://github.com/lukeronger/Nuclear Data-LZU: nuclear binding energies, one-nucleon and two-nucleon separation energies(S_(n,p,2n,2p)), and β-decay energies( Q_α and Q_(β-,β+,EC)), and the pairing gap ?_n and ?_p.
基金Supported by the National Natural Science Foundation of China(11947229,11675223,11675066)the China Postdoctoral Science Foundation(2019M663853)the Fundamental Research Funds for the Central Universities(lzujbky-2017-ot04)and Feitian Scholar Project of Gansu province。
文摘A radial basis function network(RBFN)approach is adopted for the first time to optimize the calculation of$\alpha$decay half-life in the generalized liquid drop model(GLDM),while concurrently incorporating the surface diffuseness effect.The calculations presented herein agree closely with the experimental half-lives for 68 superheavy nuclei(SHN),achieving a remarkable reduction of 40%in the root-mean-square(rms)deviations of half-lives.Furthermore,using the RBFN method,the half-lives for four SHN isotopes,252-288Rf,272-310Fl,286-316119,and 292-318120,are predicted using the improved GLDM with the diffuseness correction and the decay energies from WS4 and FRDM as inputs.Therefore,we conclude that the diffuseness effect should be embodied in the proximity energy.Moreover,increased application of neural network methods in nuclear reaction studies is encouraged.
基金Supported by National Natural Science Foundation of China(11675066)Feitian Scholar Project of Gansu Province
文摘The competition between α-decay and spontaneous fission of superheavy nuclei(SHN) is investigated by the generalized liquid drop model(GLDM) and the modified Swiatecki's formula respectively. The theoretical decay modes are in good agreement with the experimental results. Predictions are made for as-yet unobserved superheavy nuclei. The theoretical calculations show that the nuclei^298 120,^295 119,^290 118,^291 117,^287 117,^294 116,^289 116,^286 116,^285 116,^284 115,^283 115,^283 114,^282 114,^280 113,^276 112,^275 112,^274 112,^273 111,^272 110,^265 109 may be synthesized experimentally in the near future since they not only have relatively large predicted cross sections but can also be identified via α-decay chains.
基金Partly supported by the National Natural Science Foundation of China(11935001,11575002)the Key Research Foundation of Education Ministry of Anhui Province(KJ2018A0028)Anhui project(Z010118169)。
文摘The generalized liquid-drop model(GLDM)with the microscopic shell correction from relativistic Hartree-Fock(RHF)calculations is used to explore theα-decay of superheavy nuclei.The known nuclei with Z=106−118 are chosen as examples for testing.The calculated half-lives ofα-decay agree with the experimental data better than those from the GLDM with the shell correction in the Weizsa¨cker-Skyrme model.Moreover,the influence of the decay energy Q_(α) onα-decay is investigated.It is determined that the Q_(α) values obtained from the WS4 model with radial basis function(RBF)correction match the experimental data optimally.Owing to these advantages,the GLDM with the RHF shell correction and WS4+RBF Q_(α) values is adopted to predict theα-decay lifetime for the unknown superheavy nuclei with Z=118−120.The trend of the availableα-decay half-lives according to the neutron number is similar to the trends of the values from the GLDM calculation without shell correction as well as the universal decay law(UDL)formula.Comparably,the RHF shell correction depresses(raises)theα-decay lifetime for most nuclei with N<186(N>186).In comparison with the half-lives of spontaneous fission,it can be concluded that theα-decay is dominant in the superheavy nuclei ^(281−304)118,^(284−306)119,and ^(287−308)120.These results are beneficial to the exploration of superheavy nuclei in experiments.
文摘A nuclear mass formula based on the macroscopic microscopic approach is proposed,in which the number of model parameters is reduced compared with other macroscopic microscopic models.The root mean square(RMS)deviation with respect to 2314 training sets(measured nuclear masses)is reduced to 0.447 MeV,and the calculated value of each nucleus is no more than 0.8%different from the experimental value.The single and two nucleon separation energies and the shell gaps are calculated to test the model.The shell corrections and double magic number of superheavy nuclei are also analyzed.
基金Supported in part by the National Natural Science Foundation of China(11205083,11505100,11705055)the Construct Program of the Key Discipline in Hunan Province,the Research Foundation of Education Bureau of Hunan Province,China(15A159,18A237)+4 种基金the Natural Science Foundation of Hunan Province,China(2015JJ3103,2015JJ2121,2018JJ3324)the Innovation Group of Nuclear and Particle Physics in USC,the Shandong Province Natural Science Foundation,China(ZR2015AQ007)the Hunan Provincial Innovation Foundation For Postgraduate(CX20190714,CX20200909)the National Innovation Training Foundation of China(201910555161)and the Opening Project of Cooperative Innovation Center for Nuclear Fuel Cycle Technology and Equipment,University of South China(2019KFZ10)。
文摘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 one.The results show that there is a remarkable linear relationship between Pαand the product of valance protons(holes)Np and valance neutrons(holes)Nn.At 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.[J.Phys.G:Nucl.Part.Phys.,45:075106(2018)],in which theαdecay was calculated by two different microscopic formulas.We find that theαdecay preformation factors are also related to NpNn.Combining with our previous studies[Sun et al.,Phys.Rev.C,94:024338(2016);Deng et al.,ibid.96:024318(2017);Deng et al.,ibid.97:044322(2018)]and that of Seif et al.,[Phys.Rev.C,84:064608(2011)],we suspect that this phenomenon of linear relationship for the nuclei around the above closed shells is model-independent.This may be caused by the effect of the valence protons(holes)and valence neutrons(holes)around the shell closures.Finally,using the formula obtained by fitting theαdecay preformation factor data calculated by the GLDM,we calculate theαdecay half-lives of these nuclei.The calculated results agree with the experimental data well.
基金Supported by the National Natural Science Foundation of China under Grant Nos.11175074,11120101005,11105035,and 10805061the Fundamental Research Funds for the Central Universities under Grant No.lzujbky-2012-5the Knowledge Innovation Project of the Chinese Academy of Sciences under Grant No.KJCX2-EW-N01
文摘The barrier against the spontaneous fission has been determined within the Generalized Liquid Drop Model (GLDM) including the mass and charge asymmetry, and the proximity energy. The shell correction of the spherical parent nucleus is calculated by using the Strutinsky method, and the empirical shape-dependent shell correction is 6mp10yed during the deformation process. A quasi-molecular shape sequence has been defined to describe the whole process from one-body shape to two-body shape system, and a two-touching-ellipsoid is adopted when the superdeformed one-body system reaches the rupture point. On these bases the spontaneous fission barriers are systematically studied for nuclei from 2a^Th to 249 Cm for different possible exiting channels with the different mass and charge asymmetries. The double, and triple bumps are found in the fission potential energy in this region, which roughly agree with the experimental results. It is found that at around Sn-like fragment the outer fission barriers are lower, while the partner of the Sn-like fragment is in the range near l^SRu where the ground-state mass is lowered by allowing axially symmetric shapes. The preferable fission channels are distinctly pronounced, which should be corresponding to the fragment mass distributions.
基金the National Natural Science Foundation of China(12175064,U2167203)the Outstanding Youth Science Foundation of Hunan Province,China(2022JJ10031)。
文摘From both the fundamental and applied perspectives, fragment mass distributions are important observablesof fission. We apply the Bayesian neural network (BNN) approach to learn the existing neutron induced fissionyields and predict unknowns with uncertainty quantification. Comparing the predicted results with experimentaldata, the BNN evaluation results are found to be satisfactory for the distribution positions and energy dependenciesof fission yields. Predictions are made for the fragment mass distributions of several actinides, which may beuseful for future experiments.