Abstract. In Fermionic Molecular Dynamics antisymmetrized products of Gaussian wave packets are projected on angular momentum, linear momentum, and parity. An appropriately chosen set of these states span the many-body Hilbert space in which the Hamiltonian is diagonalized. The wave packet parameters -position, momentum, width and spin -are obtained by variation under constraints. The great flexibility of this basis allows to describe not only shell-model like states but also exotic states like halos, e.g. the two-proton halo in 17 Ne, or cluster states as they appear for example in 12 C close to the α breakup threshold where the Hoyle state is located. Even a fully microscopic calculation of the 3 He(α,γ) 7 Be capture reaction is possible and yields an astrophysical S-factor that compares very well with newer data. As representatives of numerous results these cases will be discussed in this contribution, some of them not published so far. The Hamiltonian is based on the realistic Argonne V18 nucleon-nucleon interaction.
Fermionic Molecular Dynamics (FMD)In the FMD approach we employ Gaussian wave packetsas single-particle basis states. The complex parameters b encode the mean positions and momenta of the wave packets and a the widths of the wave packets. The spins can assume any direction, isospin is ±1 denoting a proton or a neutron. Intrinsic many-body basis states are Slater determinantsthat reflect deformation or clustering and break the symmetries of the Hamiltonian with respect to parity, rotation and translation. To restore the symmetries the intrinsic basis states are projected on parity, angular momentum and total linear momentumIn a full FMD calculation the many-body Hilbert space is spanned by a set of N projected intrinsic basis states Q (a) ; J π MK; P = 0 , a = 1, . . . , N . By diagonalizing the Hamiltonian in this set of non-orthogonal basis states the amplitudes of the various configurations contained in the many-body eigenstate are determined.Starting from the realistic Argonne V18 interaction [1] we derive a phase-shift-equivalent effective lowmomentum interaction using the unitary correlation operator method (UCOM). The basic idea of the UCOM approach is to explicitly include short-range central and
Cluster States in 1CThe structure of the second 0 + 2 state in 12 C, the Hoyle state, is enjoying renewed and still growing interest in nuclear structure research [5][6][7][8][9]. In [10] we investigated its structure with a model space spanned by angular momentum projected FMD configurations obtained by variation plus a full set of projected three-α triangular configurations. We found that the Hoyle state is very dilute and extended, consisting mainly of well distinguished α-clusters. This is illustrated in the top part of Fig. 1 where we show the density distribution of those intrinsic FMD basis states that have the largest overlap with the ground state and the Hoyle state.While the leading intrinsic configuration of the ground state is very compact, and after projection on good angular moment...