Microscopic study of 4-alpha-particle condensation with proper treatment of resonances

Abstract

The 4-alpha condensate state for ^{16}O is discussed with the THSR (Tohsaki-Horiuchi-Schuck-Roepke) wave function which has alpha-particle condensate character. Taking into account a proper treatment of resonances, it is found that the 4-alpha THSR wave function yields a fourth 0^+ state in the continuum above the 4-alpha-breakup threshold in addition to the three 0^+ states obtained in a previous analysis. It is shown that this fourth 0^+ ((0_4^+)_{THSR}) state has an analogous structure to the Hoyle state, since it has a very dilute density and a large component of alpha+^{12}C(0_2^+) configuration. Furthermore, single-alpha motions are extracted from the microscopic 16-nucleon wave function, and the condensate fraction and momentum distribution of alpha particles are quantitatively discussed. It is found that for the (0_4^+)_{THSR} state a large alpha-particle occupation probability concentrates on a single-alpha 0S orbit and the alpha-particle momentum distribution has a delta-function-like peak at zero momentum, both indicating that the state has a strong 4-alpha condensate character. It is argued that the (0_4^+)_{THSR} state is the counterpart of the 0_6^+ state which was obtained as the 4-alpha condensate state in the previous 4-alpha OCM (Orthogonality Condition Model) calculation, and therefore is likely to correspond to the 0_6^+ state observed at 15.1 MeV.

16 pages, 15 figures, submitted to PRC.

References in corpus (13)

• Alpha-particle condensation in 16O via a full four-body OCM calculation
• Concepts of alpha-particle condensation
• Global-Vector Representation of the Angular Motion of Few-Particle Systems II
• Negative parity states of ${}^{11}$B and ${}^{11}$C and the similarity with $^{12}C
• Evidence for an alpha cluster condensed state in 16O(alpha,alpha') at 400 MeV
• $\alpha$-particle condensate states in ${}^{16}$O
• Density-induced suppression of the alpha-particle condensate in nuclear matter and the structure of alpha cluster states in nuclei
• Resonances of 7He in the complex scaling method
• Critical Temperature for $\alpha$-Particle Condensation within a Momentum Projected Mean Field Approach
• Evidence for strong refraction of ${}^3$He in an alpha-particle condensate
• One-neutron removal strength of 7He into 6He using the complex scaling method
• Criterion for Bose-Einstein condensation in traps and self-bound systems
• Internal One-Particle Density Matrix for Bose-Einstein Condensates with Finite Number of Particles in a Harmonic Potential

Cited by in corpus (22)

• Microscopic Clustering in Light Nuclei
• Bound clusters on top of doubly magic nuclei
• Status of Alpha-Particle Condensate Structure of the Hoyle State
• The many facets of the (non relativistic) Nuclear Equation of State
• Isoscalar monopole excitations in ${}^{16}$O: $\alpha$-cluster states at low energy and mean-field-type states at higher energy
• Alpha particle clusters and their condensation in nuclear systems
• Nonlocalized cluster dynamics and nuclear molecular structure
• The Algebraic Cluster Model: Structure of 16O
• Alpha cluster structures and monopole excitations in ${}^{13}$C
• Nonlocalized Clustering and Evolution of Cluster Structure in Nuclei
• Container evolution for cluster structures in ${}^{16}\mathrm{O}$
• Cluster states and monopole transitions in ${}^{16}$O
• Nuclear Alpha-Particle Condensates
• Characterization of the proposed 4-α cluster state candidate in 16O
• Monopole excitation of the Hoyle state and linear-chain state in 12C
• Container structure of alpha alpha Lambda clusters in ${}_{\Lambda }^9$Be
• Multi-cluster dynamics in ${}_{\Lambda }^{13}\mathrm{C}$ and analogy to clustering in ${}^{12}\mathrm{C}$
• Tetrahedral $4\alpha$ and ${}^{12}\text{C}+\alpha$ cluster structures in ${}^{16}$O
• Isoscalar dipole excitations in ${}^{16}$O
• Investigation of spatial manifestation of $\alpha$ clusters in ${}^{16}$O via $\alpha$-transfer reactions
• First microscopic coupled-channel calculation of $\alpha$ inelastic cross sections on ${}^{16}$O
• 2alpha+t cluster feature of $3/2_3^{-}$ state in ${}^{11}$B