Local scale transformations and extended matter distributions in nuclei

Abstract

Local scale transformations are made to vary the long range properties of harmonic oscillator orbitals conventionally used in model structure calculations of nuclear systems. The transformations ensure that those oscillator states asymptotically have exponentially decaying forms consistent with chosen single nucleon binding energies, leaving the structure essentially unchanged within the body of the nucleus. Application has been made to the radioactive nuclei 6,8He and 11Li and the resulting wave functions are used to generate g-folding optical potentials for elastic scattering of those ions from hydrogen. As a consistency test, application has been made to form wave functions for 40Ca and they have been used also to specify relevant proton-40Ca optical potentials with which elastic scattering has been predicted. The need for appropriate specifications of single particle binding energies in exotic nuclei is discussed.

24 pages, 16 figures, RevTex 4

References in corpus (3)

• Laser Spectroscopic Determination of the 6He Nuclear Charge Radius
• Discerning the neutron density distribution of 208Pb from nucleon elastic scattering
• Microscopic optical potentials for nucleon-nucleus scattering

Cited by in corpus (19)

• Continuum-Discretized Coupled-Channels calculations with core excitation
• Astrophysical reaction rate for ${}^9$Be formation within a three-body approach
• Analytical transformed harmonic oscillator basis for three-body nuclei of astrophysical interest: Application to 6He
• Particle motion in a deformed potential using a transformed oscillator basis
• ${}^9$Be elastic scattering on ${}^{208}$Pb and ${}^{27}$Al within a four-body reaction framework
• Electric dipole response of low-lying excitations in the two-neutron halo nucleus ${}^{29}$F
• Exploring continuum structures with a pseudo-state basis
• Two-nucleon emitters within a pseudostate method: The case of ${}^6$Be and ${}^{16}$Be
• Interplay of projectile breakup and target excitation in reactions induced by weakly-bound nuclei
• Semi-microscopic folding model for the description of two-body halo nuclei
• Radiative capture reaction for ${}^{17}$Ne formation within a full three-body model
• Exploring the halo character and dipole response in the dripline nucleus ${}^{31}$F
• Transfer reactions of exotic nuclei including core deformations: ${}^{11}$Be and ${}^{17}$C
• Neutron disappearance inside the nucleus
• Pairing enhancement in a two-neutron transfer process through the continuum
• Continuum discretized BCS approach for weakly bound nuclei
• Rescattering effects in proton interaction with light neutron rich nuclei
• Pauli Blocking effects in Nilsson states of weakly bound exotic nuclei
• Description of continuum structures in a discrete basis: Three-body resonances and two-nucleon decays