2 research outputs found
Cluster Transformation Coefficients for Structure and Dynamics Calculations in n-Particle Systems: Atoms, Nuclei, and Quarks
The structure and dynamics of an n-particle system are described with coupled
nonlinear Heisenberg's commutator equations where the nonlinear terms are
generated by the two-body interaction that excites the reference vacuum via
particle-particle and particle-hole excitations. Nonperturbative solutions of
the system are obtained with the use of dynamic linearization approximation and
cluster transformation coefficients. The dynamic linearization approximation
converts the commutator chain into an eigenvalue problem. The cluster
coefficients factorize the matrix elements of the (n)-particles or
particle-hole systems in terms of the matrix elements of the (n-1)-systems
coupled to a particle-particle, particle-hole, and hole-hole boson. Group
properties of the particle-particle, particle-hole, and hole-hole permutation
groups simplify the calculation of these coefficients. The particle-particle
vacuum-excitations generate superconductive diagrams in the dynamics of
3-quarks systems. Applications of the model to fermionic and bosonic systems
are discussed.Comment: 13 pages, 5 figures, Wigner Proceedings for Conference Wigner
Centenial Pecs, July 8-12, 200
Spins and magnetic moments of 58,60,62,64Mn ground states and isomers
The odd-odd 54,56,58,60,62,64Mn isotopes (Z = 25) were studied using bunched-beam collinear laser spectroscopy
at ISOLDE, CERN. From the measured hyperfine spectra the spins and magnetic moments of Mn isotopes up
to N = 39 were extracted. The previous tentative ground state spin assignments of 58,60,62,64Mn are now firmly
determined to be I = 1 along with an I = 4 assignment for the isomeric states in 58,60,62Mn. The I = 1 magnetic
moments show a decreasing trend with increasing neutron number while the I = 4 moments remain quite
constant between N = 33 and N = 37. The results are compared to large-scale shell-model calculations using
the GXPF1A and LNPS effective interactions. The excellent agreement of the ground state moments with the
predictions from the LNPS calculations illustrates the need for an increasing amount of proton excitations across
Z = 28 and neutron excitations across N = 40 in the ground state wave functions from N = 37 onwards.peerReviewe