In order to use high-precision realistic nucleon-nucleon(NN) potentials in relativistic many-body problems,new versions of the charge-dependent Bonn(CD-Bonn) NN potential are constructed with pseudovector pionnucleon ...In order to use high-precision realistic nucleon-nucleon(NN) potentials in relativistic many-body problems,new versions of the charge-dependent Bonn(CD-Bonn) NN potential are constructed with pseudovector pionnucleon coupling,instead of pseudoscalar coupling used in the original CD-Bonn potential as given by Machleidt2).To describe precisely the charge dependence in the NN scattering data,two effective scalar mesons are introduced,whose coupling constants with nucleons are independently determined for each partial wave and for the total angular momentum J≤4.The coupling constants between the vector and pseudovector mesons and a nucleon are identical in all channels.Three revised CD-Bonn potentials with the pseudovector pion-nucleon coupling(pvCD-Bonn) are generated by fitting the Nijmegen PWA phase shift data and the deuteron binding energy with different pion-nucleon coupling strengths.The potentials reproduce the phase shifts in the spin-single channels and the low-energy NN scattering parameters very well,but result in significantly different mixing parameters in the spin-triplet channels.The Dstate probabilities for the deuteron range from 4.22% to 6.05%,demonstrating that the potentials contain different components of the tensor force,which is useful when considering the role of the tensor force in nuclear few-and many-body systems.展开更多
Under improper transformations,the traditional transformation laws for cross products,the permutation tensor,and rotations are incorrect.For a cross product,using a counter-example the left-hand rule is proved wrong.T...Under improper transformations,the traditional transformation laws for cross products,the permutation tensor,and rotations are incorrect.For a cross product,using a counter-example the left-hand rule is proved wrong.The unique rule for a cross product is the right-hand rule.Coordinate systems have handedness,while a cross product is frame-indifference.Since the permutation tensor is defined as a triple product including a cross product,the law for the permutation tensor is false.For a rotation,its pseudovector representation is incorrect,because the mirror is an auxiliary device to produce the virtual image rather than a new coordinate system or reference frame.展开更多
基金Supported by National Natural Science Foundation of China(11775119,11405116,11675083)
文摘In order to use high-precision realistic nucleon-nucleon(NN) potentials in relativistic many-body problems,new versions of the charge-dependent Bonn(CD-Bonn) NN potential are constructed with pseudovector pionnucleon coupling,instead of pseudoscalar coupling used in the original CD-Bonn potential as given by Machleidt2).To describe precisely the charge dependence in the NN scattering data,two effective scalar mesons are introduced,whose coupling constants with nucleons are independently determined for each partial wave and for the total angular momentum J≤4.The coupling constants between the vector and pseudovector mesons and a nucleon are identical in all channels.Three revised CD-Bonn potentials with the pseudovector pion-nucleon coupling(pvCD-Bonn) are generated by fitting the Nijmegen PWA phase shift data and the deuteron binding energy with different pion-nucleon coupling strengths.The potentials reproduce the phase shifts in the spin-single channels and the low-energy NN scattering parameters very well,but result in significantly different mixing parameters in the spin-triplet channels.The Dstate probabilities for the deuteron range from 4.22% to 6.05%,demonstrating that the potentials contain different components of the tensor force,which is useful when considering the role of the tensor force in nuclear few-and many-body systems.
基金National Natural Science Foundation of China(No.51978166)the Research Fund of Sanjiang University(No.2018SJKY005)。
文摘Under improper transformations,the traditional transformation laws for cross products,the permutation tensor,and rotations are incorrect.For a cross product,using a counter-example the left-hand rule is proved wrong.The unique rule for a cross product is the right-hand rule.Coordinate systems have handedness,while a cross product is frame-indifference.Since the permutation tensor is defined as a triple product including a cross product,the law for the permutation tensor is false.For a rotation,its pseudovector representation is incorrect,because the mirror is an auxiliary device to produce the virtual image rather than a new coordinate system or reference frame.
