Tiekuang Dong - Academia.edu (original) (raw)

Papers by Tiekuang Dong

Physical Review C, 2013

The radius of a nucleus is one of the important quantities in nuclear physics. Although there are... more The radius of a nucleus is one of the important quantities in nuclear physics. Although there are many researches on ground-state properties of superheavy nuclei, researches on charge radii of superheavy nuclei are rare. In this article, nuclear root-mean-square (rms) charge radii of heavy and superheavy nuclei are extracted from the experimental α-decay data. α-decay calculations are performed within the generalized density-dependent cluster model, where α-decay half-lives are evaluated using quasibound state wave functions. The charge distribution of daughter nuclei is determined in the double-folding model to reproduce the experimental α-decay half-lives. The rms charge radius is then calculated using the resulting charge distribution. In addition, a simple formula is also proposed to calculate nuclear charge radii with the experimental α-decay energies and half-lives. The formula is directly derived from the Wentzel-Kramers-Brillouin barrier penetration probability with some approximations. The two different methods show good agreement with the experimental data for even-even nuclei, and the deduced results are consistent with other theoretical models. Moreover, nuclear radii of heavy and superheavy nuclei with Z = 98-116 are extracted from the α-decay data, for which α decay is a unique tool to probe nuclear sizes at present. This is the first result on nuclear charge radii of superheavy nuclei based on the experimental α-decay data.

The nuclear structure studies on exotic nuclei by the elastic electron scattering are reviewed.

Chinese Physics Letters, 2008

A formula of α decay energy for superheavy nuclei based on the method of macroscopic model plus s... more A formula of α decay energy for superheavy nuclei based on the method of macroscopic model plus shell corrections is proposed. The macroscopic part of this formula is derived from the Bethe-Weizsäcker binding energy formula, and the shell corrections at N = 152 and N = 162 are expressed by the Mexican hat wavelet functions. The parameters of this formula are obtained through fitting to 170 α decay energies for nuclei ranging from Z = 90 to Z = 118 with N ≥ 140. Numerical results show that 170 existing α decay energies can be reproduced very well, the average and standard deviations between theoretical results and experimental data are 0.177 and 0.226 MeV, respectively. The α decay energies of newly synthesized nuclei 293, 294 117 and their α decay products are also reproduced very well. In addition, the α decay energies for nuclei with Z = 110 − 120 are predicted and compared with the results calculated by the macroscopic-microscopic model.

European Physical Journal A, 2005

The Viola-Seaborg formula is a well-known formula for α-decay half-lives of heavy nuclei. In this... more The Viola-Seaborg formula is a well-known formula for α-decay half-lives of heavy nuclei. In this work we obtain new parameters of this formula through a least-square fit to even-even nuclei between Z = 84 and Z = 110 with N greater than 126. On average, the formula can reproduce the half-lives of heavy even-even nuclei within a factor of 1.3. The formula with new parameters works well for the superheavy region which is a hot topic of nuclear physics. The numerical results from the formula are compared with those from the cluster model.

Physical Review C, 2008

In view of the fact that alpha decay and cluster radioactivity are physically analogical processe... more In view of the fact that alpha decay and cluster radioactivity are physically analogical processes, we propose a general formula of half-lives and decay energies for alpha decay and cluster radioactivity. This new formula is directly deduced from the WKB barrier penetration probability with some approximations. It is not only simple in form and easy to see the physical meanings but also shows excellent agreement with the experimental values. Moreover, the difference between two sets of parameters to separately describe alpha decay and cluster radioactivity is small. Therefore, we use only one set of adjustable parameters to simultaneously describe the alpha decay and cluster radioactivity data for even-even nuclei. The results are also satisfactory. This indicates that this formula successfully combines the phenomenological laws of alpha decay and cluster radioactivity. We expect it to be a significant step toward a unified phenomenological law of alpha decay and cluster radioactivity.

Physical Review C, 2010

A formula of α-decay energy for superheavy nuclei based on the method of macroscopic model plus s... more A formula of α-decay energy for superheavy nuclei based on the method of macroscopic model plus shell corrections is proposed. The macroscopic part of this formula is derived from the Bethe-Weizsäcker binding energy formula, and the shell corrections at N=152 and N=162 are expressed by the Mexican hat wavelet functions. The parameters of this formula are obtained through fitting to 170 α-decay energies for nuclei ranging from Z=90 to Z=118 with N⩾140. Numerical results show that 170 existing α-decay energies can be reproduced very well; the average and standard deviations between theoretical results and experimental data are 0.177 and 0.226 MeV, respectively. The α-decay energies of newly synthesized nuclei 293,294117 and their α-decay products are also reproduced very well. In addition, the α-decay energies for nuclei with Z=110-120 are predicted and compared with the results calculated by the macroscopic-microscopic model. Great differences are found for nuclei with Z⩾116 and N⩾176 due to the shell effects near the hypothetical doubly magic nucleus 298114184 in the macroscopic-microscopic model. Therefore, by comparing experimental α-decay energies measured in the future with the ones predicted by these two methods, one can obtain useful information about the next proton and neutron magic numbers.

Physical Review C, 2005

A new form of the binding energy formula of heavy nuclei with Z>=90 is proposed where new term... more A new form of the binding energy formula of heavy nuclei with Z>=90 is proposed where new terms beyond the standard Bethe and Weizsäcker formula are introduced by analytical expressions. This can be considered an interesting development of the Bethe and Weizsäcker mass formula for heavy nuclei with Z>=90. Two versions of the formulae are presented. The first version of the formula can reproduce the 117 known binding energies of nuclei with Z>=90 and N>=140 with an average deviation 0.118 MeV. This is the first time that the binding energies of heavy nuclei with Z>=90 and N>=140 can be calculated very accurately by a formula with only seven parameters. The binding energies, alpha-decay energies, and alpha-decay half-lives of unknown superheavy nuclei are predicted. The second version of the formula is obtained by fitting the 181 data of nuclei with Z>=90 with nine parameters and good agreement with experimental binding energies is also reached for all nuclei with Z>=90.

European Physical Journal A, 2005

The Viola-Seaborg formula is a well-known formula for α-decay half-lives of heavy nuclei. In this... more The Viola-Seaborg formula is a well-known formula for α-decay half-lives of heavy nuclei. In this work we obtain new parameters of this formula through a least-square fit to even-even nuclei between Z = 84 and Z = 110 with N greater than 126. On average, the formula can reproduce the half-lives of heavy even-even nuclei within a factor of 1.3. The formula with new parameters works well for the superheavy region which is a hot topic of nuclear physics. The numerical results from the formula are compared with those from the cluster model.

Physical Review C, 2007

ABSTRACT

Physical Review C, 2008

The Coulomb electron scattering on even-even nuclei and the magnetic electron scattering on odd-A... more The Coulomb electron scattering on even-even nuclei and the magnetic electron scattering on odd-A nuclei have been investigated in the relativistic eikonal approximation and in the plane wave Born approximation, respectively. In this article, we generalize the relativistic eikonal approximation to the parity violating electron scattering on even-even nuclei. The parity violating asymmetries at electron energy of 850 MeV are calculated for three typical cases: Ca isotopes, N=50 isotones, and N=Z doubly magic nuclei. In calculations the proton and neutron densities are obtained from the relativistic mean-field theory. The parity violating asymmetries are analyzed by comparing both the form factors and the densities of neutrons and protons. It is found that the parity violating asymmetries are sensitive to the differences between neutron and proton densities. Our results provide useful references for the parity violating electron-nucleus scattering experiments in the future.

Modern Physics Letters A, 2009

The asymptotic normalization coefficient (ANC) method is used to determine the cross sections of ... more The asymptotic normalization coefficient (ANC) method is used to determine the cross sections of peripheral reactions at astrophysical energies because of existence of the Coulomb barriers. In this paper, we address an estimation of the ANC of 8B with its single particle wavefunction obtained within the framework of relativistic mean field (RMF) theory. We test the force parameters used in the RMF theory by comparing the calculated structure properties of A = 7-9 drip-line nuclei with experimental results. Utilizing the corrected bound wavefunction of 8B, the ANC C2p3/2=0.404 is obtained and that indicates the S17(0) is 18.07 eV b. Additionally, we find that the root-mean-square (rms) radius for the loosely bound proton in 8B is 3.98 fm. This confirms that 8B has a proton halo structure.

Physical Review C, 2010

ABSTRACT

Physical Review C, 2009

ABSTRACT

Physical Review C, 2008

In view of the fact that α decay and cluster radioactivity are physically analogical processes, w... more In view of the fact that α decay and cluster radioactivity are physically analogical processes, we propose a general formula of half-lives and decay energies for α decay and cluster radioactivity. This new formula is directly deduced from the WKB barrier penetration probability with some approximations. It is not only simple in form and easy to see the physical meanings but also shows excellent agreement with the experimental values. Moreover, the difference between two sets of parameters to separately describe α decay and cluster radioactivity is small. Therefore, we use only one set of adjustable parameters to simultaneously describe the α decay and cluster radioactivity data for even-even nuclei. The results are also satisfactory. This indicates that this formula successfully combines the phenomenological laws of α decay and cluster radioactivity. We expect it to be a significant step toward a unified phenomenological law of α decay and cluster radioactivity.

Physical Review C, 2008

A local formula of binding energy for heavy and superheavy nuclei has very recently been proposed... more A local formula of binding energy for heavy and superheavy nuclei has very recently been proposed [Dong and Ren, Phys. Rev. C 72, 064331 (2005)]. In this paper, the limit of the predictive ability of this local formula is investigated. It is found that the neutron-proton correlations should be considered when higher precision is required. On the one hand, we

International Journal of Modern Physics E-nuclear Physics, 2008

ABSTRACT

Modern Physics Letters A, 2009

The asymptotic normalization coefficient (ANC) method is used to determine the cross sections of ... more The asymptotic normalization coefficient (ANC) method is used to determine the cross sections of peripheral reactions at astrophysical energies because of existence of the Coulomb barriers. In this paper, we address an estimation of the ANC of 8B with its single particle wavefunction obtained within the framework of relativistic mean field (RMF) theory. We test the force parameters used in the RMF theory by comparing the calculated structure properties of A = 7-9 drip-line nuclei with experimental results. Utilizing the corrected bound wavefunction of 8B, the ANC C2p3/2=0.404 is obtained and that indicates the S17(0) is 18.07 eV b. Additionally, we find that the root-mean-square (rms) radius for the loosely bound proton in 8B is 3.98 fm. This confirms that 8B has a proton halo structure.

Physical Review C, 2009

ABSTRACT

Physical Review C, 2013

The radius of a nucleus is one of the important quantities in nuclear physics. Although there are... more The radius of a nucleus is one of the important quantities in nuclear physics. Although there are many researches on ground-state properties of superheavy nuclei, researches on charge radii of superheavy nuclei are rare. In this article, nuclear root-mean-square (rms) charge radii of heavy and superheavy nuclei are extracted from the experimental α-decay data. α-decay calculations are performed within the generalized density-dependent cluster model, where α-decay half-lives are evaluated using quasibound state wave functions. The charge distribution of daughter nuclei is determined in the double-folding model to reproduce the experimental α-decay half-lives. The rms charge radius is then calculated using the resulting charge distribution. In addition, a simple formula is also proposed to calculate nuclear charge radii with the experimental α-decay energies and half-lives. The formula is directly derived from the Wentzel-Kramers-Brillouin barrier penetration probability with some approximations. The two different methods show good agreement with the experimental data for even-even nuclei, and the deduced results are consistent with other theoretical models. Moreover, nuclear radii of heavy and superheavy nuclei with Z = 98-116 are extracted from the α-decay data, for which α decay is a unique tool to probe nuclear sizes at present. This is the first result on nuclear charge radii of superheavy nuclei based on the experimental α-decay data.

The nuclear structure studies on exotic nuclei by the elastic electron scattering are reviewed.

Chinese Physics Letters, 2008

A formula of α decay energy for superheavy nuclei based on the method of macroscopic model plus s... more A formula of α decay energy for superheavy nuclei based on the method of macroscopic model plus shell corrections is proposed. The macroscopic part of this formula is derived from the Bethe-Weizsäcker binding energy formula, and the shell corrections at N = 152 and N = 162 are expressed by the Mexican hat wavelet functions. The parameters of this formula are obtained through fitting to 170 α decay energies for nuclei ranging from Z = 90 to Z = 118 with N ≥ 140. Numerical results show that 170 existing α decay energies can be reproduced very well, the average and standard deviations between theoretical results and experimental data are 0.177 and 0.226 MeV, respectively. The α decay energies of newly synthesized nuclei 293, 294 117 and their α decay products are also reproduced very well. In addition, the α decay energies for nuclei with Z = 110 − 120 are predicted and compared with the results calculated by the macroscopic-microscopic model.

European Physical Journal A, 2005

The Viola-Seaborg formula is a well-known formula for α-decay half-lives of heavy nuclei. In this... more The Viola-Seaborg formula is a well-known formula for α-decay half-lives of heavy nuclei. In this work we obtain new parameters of this formula through a least-square fit to even-even nuclei between Z = 84 and Z = 110 with N greater than 126. On average, the formula can reproduce the half-lives of heavy even-even nuclei within a factor of 1.3. The formula with new parameters works well for the superheavy region which is a hot topic of nuclear physics. The numerical results from the formula are compared with those from the cluster model.

Physical Review C, 2008

In view of the fact that alpha decay and cluster radioactivity are physically analogical processe... more In view of the fact that alpha decay and cluster radioactivity are physically analogical processes, we propose a general formula of half-lives and decay energies for alpha decay and cluster radioactivity. This new formula is directly deduced from the WKB barrier penetration probability with some approximations. It is not only simple in form and easy to see the physical meanings but also shows excellent agreement with the experimental values. Moreover, the difference between two sets of parameters to separately describe alpha decay and cluster radioactivity is small. Therefore, we use only one set of adjustable parameters to simultaneously describe the alpha decay and cluster radioactivity data for even-even nuclei. The results are also satisfactory. This indicates that this formula successfully combines the phenomenological laws of alpha decay and cluster radioactivity. We expect it to be a significant step toward a unified phenomenological law of alpha decay and cluster radioactivity.

Physical Review C, 2010

A formula of α-decay energy for superheavy nuclei based on the method of macroscopic model plus s... more A formula of α-decay energy for superheavy nuclei based on the method of macroscopic model plus shell corrections is proposed. The macroscopic part of this formula is derived from the Bethe-Weizsäcker binding energy formula, and the shell corrections at N=152 and N=162 are expressed by the Mexican hat wavelet functions. The parameters of this formula are obtained through fitting to 170 α-decay energies for nuclei ranging from Z=90 to Z=118 with N⩾140. Numerical results show that 170 existing α-decay energies can be reproduced very well; the average and standard deviations between theoretical results and experimental data are 0.177 and 0.226 MeV, respectively. The α-decay energies of newly synthesized nuclei 293,294117 and their α-decay products are also reproduced very well. In addition, the α-decay energies for nuclei with Z=110-120 are predicted and compared with the results calculated by the macroscopic-microscopic model. Great differences are found for nuclei with Z⩾116 and N⩾176 due to the shell effects near the hypothetical doubly magic nucleus 298114184 in the macroscopic-microscopic model. Therefore, by comparing experimental α-decay energies measured in the future with the ones predicted by these two methods, one can obtain useful information about the next proton and neutron magic numbers.

Physical Review C, 2005

A new form of the binding energy formula of heavy nuclei with Z>=90 is proposed where new term... more A new form of the binding energy formula of heavy nuclei with Z>=90 is proposed where new terms beyond the standard Bethe and Weizsäcker formula are introduced by analytical expressions. This can be considered an interesting development of the Bethe and Weizsäcker mass formula for heavy nuclei with Z>=90. Two versions of the formulae are presented. The first version of the formula can reproduce the 117 known binding energies of nuclei with Z>=90 and N>=140 with an average deviation 0.118 MeV. This is the first time that the binding energies of heavy nuclei with Z>=90 and N>=140 can be calculated very accurately by a formula with only seven parameters. The binding energies, alpha-decay energies, and alpha-decay half-lives of unknown superheavy nuclei are predicted. The second version of the formula is obtained by fitting the 181 data of nuclei with Z>=90 with nine parameters and good agreement with experimental binding energies is also reached for all nuclei with Z>=90.

European Physical Journal A, 2005

The Viola-Seaborg formula is a well-known formula for α-decay half-lives of heavy nuclei. In this... more The Viola-Seaborg formula is a well-known formula for α-decay half-lives of heavy nuclei. In this work we obtain new parameters of this formula through a least-square fit to even-even nuclei between Z = 84 and Z = 110 with N greater than 126. On average, the formula can reproduce the half-lives of heavy even-even nuclei within a factor of 1.3. The formula with new parameters works well for the superheavy region which is a hot topic of nuclear physics. The numerical results from the formula are compared with those from the cluster model.

Physical Review C, 2007

ABSTRACT

Physical Review C, 2008

The Coulomb electron scattering on even-even nuclei and the magnetic electron scattering on odd-A... more The Coulomb electron scattering on even-even nuclei and the magnetic electron scattering on odd-A nuclei have been investigated in the relativistic eikonal approximation and in the plane wave Born approximation, respectively. In this article, we generalize the relativistic eikonal approximation to the parity violating electron scattering on even-even nuclei. The parity violating asymmetries at electron energy of 850 MeV are calculated for three typical cases: Ca isotopes, N=50 isotones, and N=Z doubly magic nuclei. In calculations the proton and neutron densities are obtained from the relativistic mean-field theory. The parity violating asymmetries are analyzed by comparing both the form factors and the densities of neutrons and protons. It is found that the parity violating asymmetries are sensitive to the differences between neutron and proton densities. Our results provide useful references for the parity violating electron-nucleus scattering experiments in the future.

Modern Physics Letters A, 2009

The asymptotic normalization coefficient (ANC) method is used to determine the cross sections of ... more The asymptotic normalization coefficient (ANC) method is used to determine the cross sections of peripheral reactions at astrophysical energies because of existence of the Coulomb barriers. In this paper, we address an estimation of the ANC of 8B with its single particle wavefunction obtained within the framework of relativistic mean field (RMF) theory. We test the force parameters used in the RMF theory by comparing the calculated structure properties of A = 7-9 drip-line nuclei with experimental results. Utilizing the corrected bound wavefunction of 8B, the ANC C2p3/2=0.404 is obtained and that indicates the S17(0) is 18.07 eV b. Additionally, we find that the root-mean-square (rms) radius for the loosely bound proton in 8B is 3.98 fm. This confirms that 8B has a proton halo structure.

Physical Review C, 2010

ABSTRACT

Physical Review C, 2009

ABSTRACT

Physical Review C, 2008

In view of the fact that α decay and cluster radioactivity are physically analogical processes, w... more In view of the fact that α decay and cluster radioactivity are physically analogical processes, we propose a general formula of half-lives and decay energies for α decay and cluster radioactivity. This new formula is directly deduced from the WKB barrier penetration probability with some approximations. It is not only simple in form and easy to see the physical meanings but also shows excellent agreement with the experimental values. Moreover, the difference between two sets of parameters to separately describe α decay and cluster radioactivity is small. Therefore, we use only one set of adjustable parameters to simultaneously describe the α decay and cluster radioactivity data for even-even nuclei. The results are also satisfactory. This indicates that this formula successfully combines the phenomenological laws of α decay and cluster radioactivity. We expect it to be a significant step toward a unified phenomenological law of α decay and cluster radioactivity.

Physical Review C, 2008

A local formula of binding energy for heavy and superheavy nuclei has very recently been proposed... more A local formula of binding energy for heavy and superheavy nuclei has very recently been proposed [Dong and Ren, Phys. Rev. C 72, 064331 (2005)]. In this paper, the limit of the predictive ability of this local formula is investigated. It is found that the neutron-proton correlations should be considered when higher precision is required. On the one hand, we

International Journal of Modern Physics E-nuclear Physics, 2008

ABSTRACT

Modern Physics Letters A, 2009

The asymptotic normalization coefficient (ANC) method is used to determine the cross sections of ... more The asymptotic normalization coefficient (ANC) method is used to determine the cross sections of peripheral reactions at astrophysical energies because of existence of the Coulomb barriers. In this paper, we address an estimation of the ANC of 8B with its single particle wavefunction obtained within the framework of relativistic mean field (RMF) theory. We test the force parameters used in the RMF theory by comparing the calculated structure properties of A = 7-9 drip-line nuclei with experimental results. Utilizing the corrected bound wavefunction of 8B, the ANC C2p3/2=0.404 is obtained and that indicates the S17(0) is 18.07 eV b. Additionally, we find that the root-mean-square (rms) radius for the loosely bound proton in 8B is 3.98 fm. This confirms that 8B has a proton halo structure.

Physical Review C, 2009

ABSTRACT