We use the two lowest weight states to fit E2 strengths connecting the 0←→2 and 2←→4 transitions in ^(96,98)Mo.Our results confirm that the 2^+ and 4^+ states are maximally mixed,and that the 0^+ states are weakly...We use the two lowest weight states to fit E2 strengths connecting the 0←→2 and 2←→4 transitions in ^(96,98)Mo.Our results confirm that the 2^+ and 4^+ states are maximally mixed,and that the 0^+ states are weakly mixed in both nuclei.An appropriate Hamiltonian to represent the band mixing is found to be exactly solvable,and its eigenstates can be expressed as the basis vectors in the configuration mixing scheme and interacting boson model.The interacting boson model and coexistence mixing configuration under the solvable methods are suitable models for analyzing the band mixing with high accuracy.展开更多
The competition of isovector and isoscalar pairing in A=18 and 20 even-even N≈Z nuclei is analyzed in the framework of the mean-field plus the dynamic quadurpole-quadurpole, pairing and particle-hole interactions, wh...The competition of isovector and isoscalar pairing in A=18 and 20 even-even N≈Z nuclei is analyzed in the framework of the mean-field plus the dynamic quadurpole-quadurpole, pairing and particle-hole interactions, whose Hamiltonian is diagonalized in the basis U(24) ?(U(6) ? S U(3) ? S O(3))■(U(4) ? S US(2)■ S UT(2)) in the L = 0 configuration subspace. Besides the pairing interaction, it is observed that the quadurpole-quadurpole and particlehole interactions also play a significant role in determining the relative positions of low-lying excited 0^+ and 1^+ levels and their energy gaps, which can result in the ground state first-order quantum phase transition from J = 0 to J = 1.The strengths of the isovector and isoscalar pairing interactions in these even-even nuclei are estimated with respect to the energy gap and the total contribution to the binding energy. Most importantly, it is shown that although the mechanism of the particle-hole contribution to the binding energy is different, it is indirectly related to the Wigner term in the binding energy.展开更多
基金Supported by the National Natural Science Foundation of China(11875171,11675071,11747318)the U.S.National Science Foundation(OIA-1738287,ACI-1713690)+2 种基金U.S.Department of Enengy(DE-SC0005248)the Southeastem Univers ities Research Association,the China-U.S.Theory Institute for Physices with Exotie Nuclei(CUSTIPEN)(DE-SC0009971)and the LSU-LNNU joint research program(9961)。
文摘We use the two lowest weight states to fit E2 strengths connecting the 0←→2 and 2←→4 transitions in ^(96,98)Mo.Our results confirm that the 2^+ and 4^+ states are maximally mixed,and that the 0^+ states are weakly mixed in both nuclei.An appropriate Hamiltonian to represent the band mixing is found to be exactly solvable,and its eigenstates can be expressed as the basis vectors in the configuration mixing scheme and interacting boson model.The interacting boson model and coexistence mixing configuration under the solvable methods are suitable models for analyzing the band mixing with high accuracy.
基金Supported by the National Natural Science Foundation of China(11675071 and 11375080)the U.S.National Science Foundation(OIA-1738287 and ACI-1713690)+2 种基金U.S.Department of Energy(DE-SC0005248)the Southeastern Universities Research Association,the China-U.S.Theory Institute for Physics with Exotic Nuclei(CUSTIPEN)(DE-SC0009971)the LSU-LNNU joint research program(9961)
文摘The competition of isovector and isoscalar pairing in A=18 and 20 even-even N≈Z nuclei is analyzed in the framework of the mean-field plus the dynamic quadurpole-quadurpole, pairing and particle-hole interactions, whose Hamiltonian is diagonalized in the basis U(24) ?(U(6) ? S U(3) ? S O(3))■(U(4) ? S US(2)■ S UT(2)) in the L = 0 configuration subspace. Besides the pairing interaction, it is observed that the quadurpole-quadurpole and particlehole interactions also play a significant role in determining the relative positions of low-lying excited 0^+ and 1^+ levels and their energy gaps, which can result in the ground state first-order quantum phase transition from J = 0 to J = 1.The strengths of the isovector and isoscalar pairing interactions in these even-even nuclei are estimated with respect to the energy gap and the total contribution to the binding energy. Most importantly, it is shown that although the mechanism of the particle-hole contribution to the binding energy is different, it is indirectly related to the Wigner term in the binding energy.
