In this paper we study the general behavior of matrix elements of the nuclear shell model Hamiltonian.We find that nonzero off-diagonal elements exhibit a regular pattern,if one sorts the diagonal matrix elements from...In this paper we study the general behavior of matrix elements of the nuclear shell model Hamiltonian.We find that nonzero off-diagonal elements exhibit a regular pattern,if one sorts the diagonal matrix elements from smaller to larger values.The correlation between eigenvalues and diagonal matrix elements for the shell model Hamiltonian is more remarkable than that for random matrices with the same distribution unless the dimension is small.展开更多
In this paper we study the structure coeficients of collective pairs with spin zero and spin two (SD) in a number of configurations by a few realistic nuclei. We investigate the robustness of these structure coeffcien...In this paper we study the structure coeficients of collective pairs with spin zero and spin two (SD) in a number of configurations by a few realistic nuclei. We investigate the robustness of these structure coeffcients with respect to different configurations and the evolution of SD-pair structure coeffcients with valence nucleon number.展开更多
We investigate the effect of valence space nucleons on the multifractal analysis(MFA)and spectral analysis of calcium and titanium isotopes.The multifractality of wavefunctions is characterized by its associated singu...We investigate the effect of valence space nucleons on the multifractal analysis(MFA)and spectral analysis of calcium and titanium isotopes.The multifractality of wavefunctions is characterized by its associated singularity spectrum f(α)and generalized dimension Dq.The random matrix theory(RMT)has been employed in the study of properties of the distribution of energy levels.In particular,we find that the number of nucleons and two-body residual interactions particularly affect the singularity and energy level spectra.展开更多
We present analytical method to calculate single particle matrix elements used in atomic and nuclear physics. We show seven different formulas of matrix elements of the operator f(r)d_r^m where f(r) = r~μ, r~μjJ(qr)...We present analytical method to calculate single particle matrix elements used in atomic and nuclear physics. We show seven different formulas of matrix elements of the operator f(r)d_r^m where f(r) = r~μ, r~μjJ(qr), V(r)corresponding to the Gaussian and the Yukawa potentials used in nuclear shell models and nuclear structure. In addition,we take into account a general integral formula of the matrix element 〈 n′ l′|f(r) d_r^(m) |n l〉 that covers all seven matrix elements obtained analytically.展开更多
The shell model of atomic nuclei has been in intensive use since the middle of the previous century. This simple model of very complex nuclei, offers a quantitative description of its many features. Other features fol...The shell model of atomic nuclei has been in intensive use since the middle of the previous century. This simple model of very complex nuclei, offers a quantitative description of its many features. Other features follow from small deviations from the extreme picture. Our friend and colleague Akito Arima made seminal contributions to this field starting with his famous paper with Horie on the magnetic moments of nuclei [Prog. Theor. Phys. 11, 509 （1954）]. In the following, a detailed description of a simple example is considered. It is the 1f7/2 shell of the neutrons in the nuclei between 40Ca and 4sca and of the protons in the nuclei between 4SCa and 56Ni. The results demonstrate the power and elegance of the shell model. They show how simplicity arises out of complexity. It is also shown how small deviations from the simple shell model lead to effects, in which valence neutrons act as if they carry electric charge.展开更多
The nuclear system is a promising area for demonstrating practical quantum advantage.A comprehensive computation of a nuclear system in a classical computer is beyond the capacity of current classical computers.With t...The nuclear system is a promising area for demonstrating practical quantum advantage.A comprehensive computation of a nuclear system in a classical computer is beyond the capacity of current classical computers.With the rapid development of hardware,the prospect of using quantum computers in nuclear physics is close at hand.In this paper,we report a full quantum package,QCSH,for solving a nuclear shell model in a quantum computer.QCSH uses the linear combination of the unitary formalism of quantum computing and performs all calculations in a quantum computer.The complexities of qubit resource and the number of basic gates of QCSH are both polynomials to the number of nucleons in nuclei.For example,QCSH is used to calculate the binding energies of 12 light nuclei(i.e.,^(2)H,^(3)H,^(3)He,^(4)He,^(6)Li,^(7)Li,^(12)C,^(14)N,^(16)O,^(17)O,^(23)Na,and^(40)Ca).Moreover,we experimentally demonstrate the calculation of deuteron binding energy using a superconducting quantum processor.The result indicates that QCSH can provide meaningful results already in near-term quantum devices.展开更多
The influence of the tensor interaction of nucleons on the characteristics of neutron-rich silicon and nickel isotopes was studied in this work.Tensor forces are considered within the framework of the Hartree-Fock app...The influence of the tensor interaction of nucleons on the characteristics of neutron-rich silicon and nickel isotopes was studied in this work.Tensor forces are considered within the framework of the Hartree-Fock approach with the Skyrme interaction.The addition of a tensor component of interaction is shown to improve the description of the splittings between different single-particle states and decrease nucleon-nucleon pairing correlations in silicon and nickel nuclei.Special attention was directed toward the role of isovector tensor forces relevant to the interaction of like nucleons.展开更多
The allowed Gamow-Teller β-decay information of Li, Be, B, C, and N isotopes under the flame work of nuclear shell model is calculated herein. Theoretical results of Q values, half-lives, excitation energies, log ft ...The allowed Gamow-Teller β-decay information of Li, Be, B, C, and N isotopes under the flame work of nuclear shell model is calculated herein. Theoretical results of Q values, half-lives, excitation energies, log ft values, branching fractions, and β-delayed proton/neutron emission probabilities are tabulated and compared with experimental data. The deviations from the observations are also analyzed. The llBe nucleus is well known for its anomaly ground state Jπ=1/2＋. Thus, we compared the theoretical energy levels with the experimental data and the agreements for low excitation states are consistent. The quenching factor is also evaluated and discussed.展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos.10575070 and 10675081)the Research Foundation for Doctoral Program of Higher Education in China (Grant No.20060248050)+1 种基金the Scientific Research Foundation of Ministry of Education in China for Returned Scholars (Grant No.NCET-07-0557)the Chinese Major State Basic Research Developing Program (Grant No.2007CB815000)
文摘In this paper we study the general behavior of matrix elements of the nuclear shell model Hamiltonian.We find that nonzero off-diagonal elements exhibit a regular pattern,if one sorts the diagonal matrix elements from smaller to larger values.The correlation between eigenvalues and diagonal matrix elements for the shell model Hamiltonian is more remarkable than that for random matrices with the same distribution unless the dimension is small.
基金the National Natural Science Foundation of China (Grant No.10675081) for supporting this worksupported partlyby the Research Foundation for Doctoral Program of Higher Education inChina (Grant No. 20060248050)+1 种基金the Scientific Research Foundation of Min-istry of Education in China for Returned Scholars (Grant No. NCET-07-0557)the Chinese Major State Basic Research Developing Program(Grant No. 2007CB815000)
文摘In this paper we study the structure coeficients of collective pairs with spin zero and spin two (SD) in a number of configurations by a few realistic nuclei. We investigate the robustness of these structure coeffcients with respect to different configurations and the evolution of SD-pair structure coeffcients with valence nucleon number.
文摘We investigate the effect of valence space nucleons on the multifractal analysis(MFA)and spectral analysis of calcium and titanium isotopes.The multifractality of wavefunctions is characterized by its associated singularity spectrum f(α)and generalized dimension Dq.The random matrix theory(RMT)has been employed in the study of properties of the distribution of energy levels.In particular,we find that the number of nucleons and two-body residual interactions particularly affect the singularity and energy level spectra.
文摘We present analytical method to calculate single particle matrix elements used in atomic and nuclear physics. We show seven different formulas of matrix elements of the operator f(r)d_r^m where f(r) = r~μ, r~μjJ(qr), V(r)corresponding to the Gaussian and the Yukawa potentials used in nuclear shell models and nuclear structure. In addition,we take into account a general integral formula of the matrix element 〈 n′ l′|f(r) d_r^(m) |n l〉 that covers all seven matrix elements obtained analytically.
文摘The shell model of atomic nuclei has been in intensive use since the middle of the previous century. This simple model of very complex nuclei, offers a quantitative description of its many features. Other features follow from small deviations from the extreme picture. Our friend and colleague Akito Arima made seminal contributions to this field starting with his famous paper with Horie on the magnetic moments of nuclei [Prog. Theor. Phys. 11, 509 （1954）]. In the following, a detailed description of a simple example is considered. It is the 1f7/2 shell of the neutrons in the nuclei between 40Ca and 4sca and of the protons in the nuclei between 4SCa and 56Ni. The results demonstrate the power and elegance of the shell model. They show how simplicity arises out of complexity. It is also shown how small deviations from the simple shell model lead to effects, in which valence neutrons act as if they carry electric charge.
基金the National Natural Science Foundation of China(Grant No.12005015)support from the National Natural Science Foundation of China(Grant Nos.11974205,and 11774197)+1 种基金the National Key Research and Development Program of China(Grant No.2017YFA0303700)the Key Research and Development Program of Guangdong Province(Grant No.2018B030325002)。
文摘The nuclear system is a promising area for demonstrating practical quantum advantage.A comprehensive computation of a nuclear system in a classical computer is beyond the capacity of current classical computers.With the rapid development of hardware,the prospect of using quantum computers in nuclear physics is close at hand.In this paper,we report a full quantum package,QCSH,for solving a nuclear shell model in a quantum computer.QCSH uses the linear combination of the unitary formalism of quantum computing and performs all calculations in a quantum computer.The complexities of qubit resource and the number of basic gates of QCSH are both polynomials to the number of nucleons in nuclei.For example,QCSH is used to calculate the binding energies of 12 light nuclei(i.e.,^(2)H,^(3)H,^(3)He,^(4)He,^(6)Li,^(7)Li,^(12)C,^(14)N,^(16)O,^(17)O,^(23)Na,and^(40)Ca).Moreover,we experimentally demonstrate the calculation of deuteron binding energy using a superconducting quantum processor.The result indicates that QCSH can provide meaningful results already in near-term quantum devices.
基金the Interdisciplinary Scientific and Educational School of Moscow University's"Fundamental and Applied Space Research."Sidorov S.V.expresses his gratitude for the support provided by the Foundation for the Development of Theoretical Physics and Mathematics"BASIS."。
文摘The influence of the tensor interaction of nucleons on the characteristics of neutron-rich silicon and nickel isotopes was studied in this work.Tensor forces are considered within the framework of the Hartree-Fock approach with the Skyrme interaction.The addition of a tensor component of interaction is shown to improve the description of the splittings between different single-particle states and decrease nucleon-nucleon pairing correlations in silicon and nickel nuclei.Special attention was directed toward the role of isovector tensor forces relevant to the interaction of like nucleons.
基金supported by the National Natural Science Foundation of China (Grant Nos. 11035001,11375086,11105079 and 10975072)the National Major State Basic Research and Development of China (Grant Nos. 2013CB834400 and 2010CB327803)+2 种基金the Chinese Academy of Sciences Knowledge Innovation Project (Grant No. KJCX2-SW-N02)the Research Fund of Doctoral Point (RFDP) (Grant No. 20100091110028)the Science and Technology Development Fund of Macao (Grant No. 068/2011/A)
文摘The allowed Gamow-Teller β-decay information of Li, Be, B, C, and N isotopes under the flame work of nuclear shell model is calculated herein. Theoretical results of Q values, half-lives, excitation energies, log ft values, branching fractions, and β-delayed proton/neutron emission probabilities are tabulated and compared with experimental data. The deviations from the observations are also analyzed. The llBe nucleus is well known for its anomaly ground state Jπ=1/2＋. Thus, we compared the theoretical energy levels with the experimental data and the agreements for low excitation states are consistent. The quenching factor is also evaluated and discussed.
