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
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.
