Spectroscopic amplitudes and microscopic substructure effects in nucleon capture reactions

Escher, Jutta; Jennings, B.K.; Sherif, H.

doi:10.1103/physrevc.64.065801

Cited by 8 publications

(12 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…in [23]. The relation between this simple two-body model and microscopic models has been recently studied in [24,25]. The essential ingredients are the potentials which are needed to calculate the wave functions χ scatt and u bound .…”

Section: Direct Capture Model and Resultsmentioning

confidence: 99%

Low-energy direct capture in the8Li(n,γ)9Liand
Mohr
¹

2003
Phys. Rev. C

View full text Add to dashboard Cite

The cross sections of the 8 Li(n,γ) 9 Li and 8 B(p,γ) 9 C capture reactions have been analyzed using the direct capture model. At low energies which is the astrophysically relevant region the capture process is dominated by E1 transitions from incoming s-waves to bound p-states. The cross sections of both mirror reactions can be described simultaneously with consistent potential parameters, whereas previous calculations have overestimated the capture cross sections significantly. However, the parameters of the potential have to be chosen very carefully because the calculated cross section of the 8 Li(n,γ) 9 Li reaction depends sensitively on the potential strength.

show abstract

Section: Direct Capture Model and Resultsmentioning

confidence: 99%

Low-energy direct capture in the8Li(n,γ)9Liand
Mohr
¹

2003
Phys. Rev. C

View full text Add to dashboard Cite

show abstract

“…The ground-state internal wave function Φ N 0 can be expanded in terms of the complete orthonormal set of internal (N − 1)-body wave functions {Φ N −1 ν }, which are eigenstates of the (N − 1)-body internal Hamiltonian [100,101,102,103]…”

Section: Definitions and Notationsmentioning

confidence: 99%

New analysis method of the halo phenomenon in finite many-fermion systems: First applications to medium-mass atomic nuclei

Rotival

Duguet

2009

Phys. Rev. C

View full text Add to dashboard Cite

A new analysis method to investigate halos in finite many-fermion systems is designed, as existing characterization methods are proven to be incomplete/inaccurate. A decomposition of the internal wave-function of the N -body system in terms of overlap functions allows a model-independent analysis of medium-range and asymptotic properties of the internal one-body density. The existence of a spatially decorrelated region in the density profile is related to the existence of three typical energy scales in the excitation spectrum of the (N −1)-body system. A series of model-independent measures, taking the internal density as the only input, are introduced. The new measures allow a quantification of the potential halo in terms of the average number of fermions participating to it and of its impact on the system extension. Those new "halo factors" are validated through simulations and applied to results obtained through energy density functional calculations of medium-mass nuclei. Performing spherical Hartree-Fock-Bogoliubov calculations with state-of-the-art Skyrme plus pairing functionals, a collective halo is predicted in drip-line Cr isotopes, whereas no such effect is seen in Sn isotopes.

show abstract

“…The standard reduction from a many-body problem to an effective one-body picture has been revisited in a recent study of radiative proton capture [10]. The work focused on one-body overlap functions and their associated equations of motion.…”

Section: Introductionmentioning

confidence: 99%

Many-body approach to proton emission and the role of spectroscopic factors

et al. 2003

Self Cite

View full text Add to dashboard Cite

The process of proton emission from nuclei is studied by utilizing the two-potential approach of Gurvitz and Kalbermann in the context of the full many-body problem. A time-dependent approach is used for calculating the decay width. Starting from an initial many-body quasistationary state, we employ the Feshbach projection operator approach and reduce the formalism to an effective one-body problem. We show that the decay width can be expressed in terms of a one-body matrix element multiplied by a normalization factor. We demonstrate that the traditional interpretation of this normalization as the square root of a spectroscopic factor is only valid for one particular choice of projection operator. This causes no problem for the calculation of the decay width in a consistent microscopic approach, but it leads to ambiguities in the interpretation of experimental results. In particular, spectroscopic factors extracted from a comparison of the measured decay width with a calculated single-particle width may be affected.

show abstract

Spectroscopic amplitudes and microscopic substructure effects in nucleon capture reactions

Cited by 8 publications

References 28 publications

Low-energy direct capture in the8Li(n,γ)9Liand
Mohr
¹

2003
Phys. Rev. C

Low-energy direct capture in the8Li(n,γ)9Liand
Mohr
¹

2003
Phys. Rev. C

New analysis method of the halo phenomenon in finite many-fermion systems: First applications to medium-mass atomic nuclei

Many-body approach to proton emission and the role of spectroscopic factors

Contact Info

Product

Resources

About

Spectroscopic amplitudes and microscopic substructure effects in nucleon capture reactions

Cited by 8 publications

References 28 publications

Low-energy direct capture in the8Li(n,γ)9LiandMohr1 2003Phys. Rev. C

Low-energy direct capture in the8Li(n,γ)9LiandMohr1 2003Phys. Rev. C

New analysis method of the halo phenomenon in finite many-fermion systems: First applications to medium-mass atomic nuclei

Many-body approach to proton emission and the role of spectroscopic factors

Contact Info

Product

Resources

About

Low-energy direct capture in the8Li(n,γ)9Liand
Mohr
¹

2003
Phys. Rev. C

Low-energy direct capture in the8Li(n,γ)9Liand
Mohr
¹

2003
Phys. Rev. C