Physics-Informed Neural Networks(PINNs)have emerged as a powerful tool for solving high-dimensional partial differential equations and have demonstrated promising results across various fields of physics and engineeri...Physics-Informed Neural Networks(PINNs)have emerged as a powerful tool for solving high-dimensional partial differential equations and have demonstrated promising results across various fields of physics and engineering.In this paper,we present the first application of PINNs to quantum tunneling in heavy-ion fusion reactions.By incorporating the physical laws directly into the neural network's loss function,PINNs enable the accurate solution of the multidimensional Schr?dinger equation,whose wavefunction has substantial oscillations.The calculated quantum tunneling probabilities exhibit good agreement with those obtained using the finite element method at the considered near barrier energy region.Furthermore,we demonstrate a significant advantage of the PINN approach to save and fine-tune pre-trained neural networks for related tunneling calculations,thereby enhancing computational efficiency and adaptability.展开更多
To study the coupling effect of the positive Q-value two-neutron stripping channel in the sub-barrier of^(18)O+^(50)Cr,the fusion excitation functions were measured for the^(16,18)O+^(50)Cr systems at energies near an...To study the coupling effect of the positive Q-value two-neutron stripping channel in the sub-barrier of^(18)O+^(50)Cr,the fusion excitation functions were measured for the^(16,18)O+^(50)Cr systems at energies near and below the Coulomb barriers by using the electrostatic deflector setup.16O+^(50)Cr was selected as a reference system.The coupling effect of the low-lying collective excitation states in sub-barrier fusion was considered based on coupledchannels calculations.For^(18)O+^(50)Cr,the calculated fusion cross-sections of coupled channels,including the lowest 2^(+)vibrational states of the target nucleus and projectile,give subtle under-estimation for the experimental ones at energies below the Coulomb barrier.This means that there is limited room for the transfer effect in^(18)O+^(50)Cr,compared to the widely accepted argument of positive Q-value 2n-transfer remarkably enhancing the sub-barrier fusion cross-sections.Analogous systems of neutron-rich^(18)O-induced fusion in existing literature show the same peculiarity that the positive Q-value two-neutron stripping channel has no remarkable influence on enhancing sub-barrier fusion cross-sections.展开更多
The present work provides a literature survey of breakup reactions induced by weakly bound nuclei at energies around the Coulomb barrier.We review the inclusive and exclusive breakup data of stable weakly bound nuclei...The present work provides a literature survey of breakup reactions induced by weakly bound nuclei at energies around the Coulomb barrier.We review the inclusive and exclusive breakup data of stable weakly bound nuclei^(6.7)Li and^(9)Be,as well as light radioactive projectiles reported within the last decade.Several theoretical and data analysis tools used to describe the data are reviewed as well.Similarities and differences in the behavior of breakup reactions involving these weakly bound nuclei are discussed.It is found that,for^(6.7)Li and^(9)Be,transfer-triggered breakup is a significant mode,which,however,is not observed in drip-line nuclear systems.Moreover,differences in the breakup dynamics and the contribution of breakup to the total reaction cross section at energies close to the Coulomb barrier seem to emerge between neutron-halo and proton-halo systems.Possible explanations for the observed differences are discussed.展开更多
基金Supported by the National Key R&D Program of China(2024YFE0109804,2023YFA1606402,2022YFA1602302)the National Natural Science Foundation of China(U2167204,12375130,12175313,12175314,12235020,12275360)+3 种基金the Director's Foundation of Department of Nuclear Physics(12SZJJ-202305)the Dean's Foundation of China Institute of Atomic Energy(12YZ010270624219)the Continuous Basic Scientific Research ProjectBasic Research Special Zone。
文摘Physics-Informed Neural Networks(PINNs)have emerged as a powerful tool for solving high-dimensional partial differential equations and have demonstrated promising results across various fields of physics and engineering.In this paper,we present the first application of PINNs to quantum tunneling in heavy-ion fusion reactions.By incorporating the physical laws directly into the neural network's loss function,PINNs enable the accurate solution of the multidimensional Schr?dinger equation,whose wavefunction has substantial oscillations.The calculated quantum tunneling probabilities exhibit good agreement with those obtained using the finite element method at the considered near barrier energy region.Furthermore,we demonstrate a significant advantage of the PINN approach to save and fine-tune pre-trained neural networks for related tunneling calculations,thereby enhancing computational efficiency and adaptability.
基金Supported by the National Key R&D Program of China(2023YFA1606402,2022YFA1602302)the National Natural Science Foundation of China(U2167204,12175314,12275360,12235020)the Continuous-Support Basic Scientific Research Project。
文摘To study the coupling effect of the positive Q-value two-neutron stripping channel in the sub-barrier of^(18)O+^(50)Cr,the fusion excitation functions were measured for the^(16,18)O+^(50)Cr systems at energies near and below the Coulomb barriers by using the electrostatic deflector setup.16O+^(50)Cr was selected as a reference system.The coupling effect of the low-lying collective excitation states in sub-barrier fusion was considered based on coupledchannels calculations.For^(18)O+^(50)Cr,the calculated fusion cross-sections of coupled channels,including the lowest 2^(+)vibrational states of the target nucleus and projectile,give subtle under-estimation for the experimental ones at energies below the Coulomb barrier.This means that there is limited room for the transfer effect in^(18)O+^(50)Cr,compared to the widely accepted argument of positive Q-value 2n-transfer remarkably enhancing the sub-barrier fusion cross-sections.Analogous systems of neutron-rich^(18)O-induced fusion in existing literature show the same peculiarity that the positive Q-value two-neutron stripping channel has no remarkable influence on enhancing sub-barrier fusion cross-sections.
基金supported by the National Key R&D Program of China(2022YFA1602302)the National Natural Science Foundation of China(U2167204,12175314 and 12235020)+1 种基金the Leading Innovation Project(LC202309000201)the Director’s Foundation of Department of Nuclear Physics,China Institute of Atomic Energy(12SZJJ-202305).
文摘The present work provides a literature survey of breakup reactions induced by weakly bound nuclei at energies around the Coulomb barrier.We review the inclusive and exclusive breakup data of stable weakly bound nuclei^(6.7)Li and^(9)Be,as well as light radioactive projectiles reported within the last decade.Several theoretical and data analysis tools used to describe the data are reviewed as well.Similarities and differences in the behavior of breakup reactions involving these weakly bound nuclei are discussed.It is found that,for^(6.7)Li and^(9)Be,transfer-triggered breakup is a significant mode,which,however,is not observed in drip-line nuclear systems.Moreover,differences in the breakup dynamics and the contribution of breakup to the total reaction cross section at energies close to the Coulomb barrier seem to emerge between neutron-halo and proton-halo systems.Possible explanations for the observed differences are discussed.
