The Relativistic Impulse Approximation

Horowitz, C. J.; Murdock, D. P.; Serot, Brian D.

doi:10.1007/978-3-642-76356-4_7

Cited by 36 publications

(65 citation statements)

References 20 publications

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“…In addition, the hole single particle energies (SPE), ε μ , and the wave functions are taken as those from the FH, QHD calculation, generated with the code TIMORA. 16 (A nucleon mass is added to the actual output of the code to obtain ε μ . )…”

Section: Relativistic Continuum Shell Modelmentioning

confidence: 99%

“…The comparison is made for two nuclei, 16 O and 90 Zr. One is interested in 16 O because it is the subject of numerous (e,e'x) experiments and the question of the role of relativity in these reactions, however, only six SPEs can be compared for this nucleus.…”

Section: Relativistic Continuum Shell Modelmentioning

confidence: 99%

“…The 90 Zr comparison is shown in Table II The R matrix is now calculated for 16 O, and the R matrix level energies for J π = 2 -are plotted in Fig. 1.…”

Section: Relativistic Continuum Shell Modelmentioning

confidence: 99%

“…This article also demonstrated that the R matrix formalism allows one to easily orthogonalize scattering solutions to bound state solutions and to treat non-local potentials; and, hence, to calculate exchange terms in relativistic impulse approximation exactly. Examples were given for 160-200 MeV elastic proton scattering from 16 O, 40 Ca, and 90 Zr in the impulse approximation with the two-nucleon t-matrix elements of Ref. 8 In II it was shown that the common local density approximation for the exchange terms was inadequate in relativistic calculations.…”

Section: Introductionmentioning

confidence: 99%

“…As an example of the formalism, relativistic continuum TDA calculations for 16 O are performed with interactions derived from relativistic mean field theory.…”

Section: Introductionmentioning

confidence: 99%

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RelativisticRmatrix and continuum shell model

Grineviciute

Halderson

2012

Phys. Rev. C

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Background:The R matrix formalism of Lane and Thomas has proven to be a convenient reaction theory for solving many-coupled channel systems. The theory provides solutions to bound states, scattering states, and resonances for microscopic models in one formalism. Purpose: The first purpose is to extend this formalism to the relativistic case so that the many-coupled channels problem may be solved for systems in which binary breakup channels satisfy a relative Dirac equation. The second purpose is to employ this formalism in a relativistic continuum shell model. Methods: Expressions for the collision matrix and the scattering amplitude, from which observables may be calculated, are derived. The formalism is applied to the 1p-1h relativistic continuum shell model with an interaction extracted from relativistic mean field theory. Results:The simplest of the σ + ω + ρ exchange interactions produces a reasonable description of proton scattering from 15 N, and, therefore, provides a simple, relatively self-consist, physically justifiable model for use in knockout reactions. 24.10.Eq, 24.10.Jv, 25.40.Cm

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Section: Relativistic Continuum Shell Modelmentioning

confidence: 99%

Section: Relativistic Continuum Shell Modelmentioning

confidence: 99%

“…The 90 Zr comparison is shown in Table II The R matrix is now calculated for 16 O, and the R matrix level energies for J π = 2 -are plotted in Fig. 1.…”

Section: Relativistic Continuum Shell Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…As an example of the formalism, relativistic continuum TDA calculations for 16 O are performed with interactions derived from relativistic mean field theory.…”

Section: Introductionmentioning

confidence: 99%

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RelativisticRmatrix and continuum shell model

Grineviciute

Halderson

2012

Phys. Rev. C

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Neutron halos in heavy nuclei-relativistic mean field approach

Baran

Pomorski

Warda

1997

Z Phys A - Particles and Fields

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Assuming a simple spherical relativistic mean field model of the nucleus, we estimate the width of the antiproton-neutron annihilation (Γ n ) and the width of antiproton-proton (Γ p ) annihilation, in an antiprotonic atom system. This allows us to determine the halo factor f , which is then discussed in the context of experimental data obtained in measurements recently done on LEAR utility at CERN. Another quantity which characterizes the deviation of the average nuclear densities ratio from the corresponding ratio of the homogeneous densities is introduced too. It was shown that it is also a good indicator of the neutron halo. The results are compared to experimental data as well as to the data of the simple liquid droplet model of the nuclear densities. The single particle structure of the nuclear density tail is discusssed also.

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Low-lying proton intruder state in 13B

et al. 2008

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The neturon rich nucleus 13 B was studied via the proton transfer reaction 4 He( 12 Be, 13 Bγ) at 50A MeV. The known 4.83-MeV excited state was strongly populated and its spin and parity were assigned to 1/2 + by comparing the angular differential cross section data with DWBA calculations. This low-lying 1/2 + state is interpreted as a proton intruder state and indicates a deformation of the nucleus.The existence of intruder states in light neutron-rich unstable nuclei is often considered to be evidence for one or morehω configurations in the low-lying states around the psd shell. The ground state of 11 Be is 1/2 + which is lower in energy by 0.3 MeV than the 1/2 − state [1]. In 12 Be, there is a 1 − intruder state at 2.7-MeV excitation energy [2]. The energies of these low-lying, nonnormal parity states indicate 1hω configurations. Furthermore, the presence of low-lying 2 + 1 [3] and 0 + 2 [4,5] states in 12 Be suggests a 2hω configuration.Three theoretical interpretations have been proposed for these one or morehω configurations in the low-lying states of neutron-rich unstable nuclei: (1) the monopole interaction of the tensor force [6], (2) the loosely bound nature of some orbitals [7], and (3) nuclear deformation [5,8,9]. In Ref.[6],the effective interaction was determined so that the model reproduces the energy levels in light, neutron-rich nuclei including intruder states, and the importance of monopole interaction due to the tensor force was pointed out. Reference[7] discusses the fact that in the psd shell, the 2s 1/2 orbital gains its energy relative to the other orbitals due to its loosely bound nature. The non-zero

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The Relativistic Impulse Approximation

Cited by 36 publications

References 20 publications

RelativisticRmatrix and continuum shell model

RelativisticRmatrix and continuum shell model

Neutron halos in heavy nuclei-relativistic mean field approach

Low-lying proton intruder state in 13B

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