240 research outputs found
Benchmark on neutron capture extracted from reactions
Direct neutron capture reactions play an important role in nuclear
astrophysics and applied physics. Since for most unstable short-lived nuclei it
is not possible to measure the cross sections, reactions
have been used as an alternative indirect tool. We analyze simultaneously
at deuteron energies and 56 MeV
and the thermal reaction at 25 meV. We include results for the
ground state and the first excited state of Ca. From the low-energy
reaction, the neutron asymptotic normalization coefficient (ANC) is
determined. Using this ANC, we extract the spectroscopic factor (SF) from the
higher energy data and the data. The SF obtained through
the 56 MeV data are less accurate but consistent with those from the
thermal capture. We show that to have a similar dependence on the single
particle parameters as in the , the (d,p) reaction should be
measured at 30 MeV.Comment: 5 pg, 4 figs, Phys. Rev. C (rapid) in pres
Are spectroscopic factors from transfer reactions consistent with asymptotic normalisation coefficients?
It is extremely important to devise a reliable method to extract
spectroscopic factors from transfer cross sections. We analyse the standard
DWBA procedure and combine it with the asymptotic normalisation coefficient,
extracted from an independent data set. We find that the single particle
parameters used in the past generate inconsistent asymptotic normalization
coefficients. In order to obtain a consistent spectroscopic factor,
non-standard parameters for the single particle overlap functions can be used
but, as a consequence, often reduced spectroscopic strengths emerge. Different
choices of optical potentials and higher order effects in the reaction model
are also studied. Our test cases consist of: C(d,p)C(g.s.) at
MeV, O(d,p)O(g.s.) at MeV and
Ca(d,p)Ca(g.s.) at MeV. We underline the
importance of performing experiments specifically designed to extract ANCs for
these systems.Comment: 15 pages, 12 figures, Phys. Rev. C (in press
Combined method to extract spectroscopic information
Spectroscopic factors (SF) play an important role in nuclear physics and
astrophysics. The traditional method of extracting SF from direct transfer
reactions suffers from serious ambiguities. We discuss a modified method which
is based on including the asymptotic normalization coefficient (ANC) of the
overlap functions into the transfer analysis. In the modified method the
contribution of the external part of the reaction amplitude, typically
dominant, is fixed and the SF is determined from fitting the internal part. We
illustrate the modified method with reactions on , and targets at different energies. The
modified method allows one to extract the SF, which do not depend on the shape
of the single-particle nucleon-target interaction, and has the potential of
improving the reliability and accuracy of the structure information. This is
specially important for nuclei on dripline, where not much is known.Comment: accepted in Phys. Rev. C, 4 pages and 2 figure
Antisymmetrization of a Mean Field Calculation of the T-Matrix
The usual definition of the prior(post) interaction between
projectile and target (resp. ejectile and residual target) being contradictory
with full antisymmetrization between nucleons, an explicit antisymmetrization
projector must be included in the definition of the transition
operator, We derive the
suitably antisymmetrized mean field equations leading to a non perturbative
estimate of . The theory is illustrated by a calculation of forward
- scattering, making use of self consistent symmetries.Comment: 30 pages, no figures, plain TeX, SPHT/93/14
Reduced neutron spectroscopic factors when using potential geometries constrained by Hartree-Fock calculations
We carry out a systematic analysis of angular distribution measurements for
selected ground-state to ground-state (d,p) and (p,d) neutron transfer
reactions, including the calcium isotopes. We propose a consistent three-body
model reaction methodology in which we constrain the transferred-neutron bound
state and nucleon-target optical potential geometries using modern Hartree-Fock
calculations. Our deduced neutron spectroscopic factors are found to be
suppressed by ~30% relative to independent-particle shell-model values, from
40Ca through 49Ca. The other nuclei studied, ranging from B to Ti, show similar
average suppressions with respect to large-basis shell-model expectations. Our
results are consistent with deduced spectroscopic strengths for neutrons and
protons from intermediate energy nucleon knockout reactions, and for protons
from (e,e'p) reactions, on well-bound nuclei. PACS: 24.50.+g, 24.10.Eq,
25.40.-h, 25.45.-zComment: 13 pages, 2 figures, Submitted to Physical Review
Application of Absorbing Boundary Condition to Nuclear Breakup Reactions
Absorbing boundary condition approach to nuclear breakup reactions is
investigated. A key ingredient of the method is an absorbing potential outside
the physical area, which simulates the outgoing boundary condition for
scattered waves. After discretizing the radial variables, the problem results
in a linear algebraic equation with a sparse coefficient matrix, to which
efficient iterative methods can be applicable. No virtual state such as
discretized continuum channel needs to be introduced in the method. Basic
aspects of the method are discussed by considering a nuclear two-body
scattering problem described with an optical potential. We then apply the
method to the breakup reactions of deuterons described in a three-body direct
reaction model. Results employing the absorbing boundary condition are found to
accurately coincide with those of the existing method which utilizes
discretized continuum channels.Comment: 21 pages, 5 figures, RevTeX
Effect of continuum couplings in fusion of halo Be on Pb around the Coulomb barrier
The effect of continuum couplings in the fusion of the halo nucleus Be
on Pb around the Coulomb barrier is studied using a three-body model
within a coupled discretised continuum channels (CDCC) formalism. We
investigate in particular the role of continuum-continuum couplings. These are
found to hinder total, complete and incomplete fusion processes. Couplings to
the projectile bound excited state redistribute the complete and
incomplete fusion cross sections, but the total fusion cross section remains
nearly constant. Results show that continuum-continuum couplings enhance the
irreversibility of breakup and reduce the flux that penetrates the Coulomb
barrier. Converged total fusion cross sections agree with the experimental ones
for energies around the Coulomb barrier, but underestimate those for energies
well above the Coulomb barrier.Comment: 15 pages, 7 figures, accepted in Phys. Rev.
Survey of ground state neutron Spectroscopic Factors from Li to Cr isotopes
The ground state neutron spectroscopic factors for 80 nuclei ranging in Z
from 3 to 24 have been extracted by analyzing the past measurements of the
angular distributions from (d,p) and (p,d) reactions. We demonstrate an
approach that provides systematic and consistent values with minimum
assumptions. For the 61 nuclei that have been described by large-basis
shell-model calculations, most experimental spectroscopic factors are
reproduced to within 20%.Comment: 12 pages, 2 figures, 2 table
Inclusion of virtual nuclear excitations in the formulation of the (e,e'N)
A wave-function framework for the theory of the (e,e'N) reaction is presented
in order to justify the use of coupled channel equations in the usual Feynman
matrix element. The overall wave function containing the electron and nucleon
coordinates is expanded in a basis set of eigenstates of the nuclear
Hamiltonian, which contain both bound states as well as continuum states.. The
latter have an ingoing nucleon with a variable momentum Q incident on the
daughter nucleus as a target, with as many outgoing channels as desirable. The
Dirac Eqs. for the electron part of the wave function acquire inhomogeneous
terms, and require the use of distorted electron Green's functions for their
solutions. The condition that the asymptotic wave function contain only the
appropriate momentum Q_k for the outgoing nucleon, which corresponds to the
electron momentum k through energy conservation, is achieved through the use of
the steepest descent saddle point method, commonly used in three-body
calculations.Comment: 30 page
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