Relativistic predictions of quasielastic proton-nucleus spin observables based on a complete Lorentz invariant representation of the NN scattering matrix

B. I.S. Van Der Ventel, G. C. Hillhouse, P. R. De Kock

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Within the framework of the relativistic plane wave impulse approximation (RPWIA), complete sets of quasielastic (p,p′) and (p,n) spin observables are calculated employing a general and complete Lorentz invariant representation of the NN scattering matrix (referred to as the IA2 representation). The use of a complete representation eliminates the arbitrariness of a previously used five-term parametrization (commonly called the IA1 representation) and allows for the correct incorporation of effective-mass-type medium effects within the RPWIA framework and within the context of the Walecka model. For quasielastic scattering from a 40Ca target at incident proton energies between 200 and 500 MeV, we investigate the sensitivity of complete sets of spin observables to effective nucleon masses for both IA1 and IA2 representations. In general it is seen that the IA1 representation may overestimate the importance of nuclear medium effects, whereas the IA2-based predictions nearly correspond to values for free nucleon-nucleon scattering.

Original languageEnglish
Article number024609
Pages (from-to)246091-246096
Number of pages6
JournalPhysical Review C - Nuclear Physics
Volume62
Issue number2
Publication statusPublished - Jan 1 2000

Fingerprint

S matrix theory
nuclei
protons
predictions
impulses
plane waves
nucleon-nucleon scattering
proton energy
approximation
sensitivity
scattering

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

@article{cff2795c587c4cce864dcdd4187b3e2f,
title = "Relativistic predictions of quasielastic proton-nucleus spin observables based on a complete Lorentz invariant representation of the NN scattering matrix",
abstract = "Within the framework of the relativistic plane wave impulse approximation (RPWIA), complete sets of quasielastic (p→,p→′) and (p→,n→) spin observables are calculated employing a general and complete Lorentz invariant representation of the NN scattering matrix (referred to as the IA2 representation). The use of a complete representation eliminates the arbitrariness of a previously used five-term parametrization (commonly called the IA1 representation) and allows for the correct incorporation of effective-mass-type medium effects within the RPWIA framework and within the context of the Walecka model. For quasielastic scattering from a 40Ca target at incident proton energies between 200 and 500 MeV, we investigate the sensitivity of complete sets of spin observables to effective nucleon masses for both IA1 and IA2 representations. In general it is seen that the IA1 representation may overestimate the importance of nuclear medium effects, whereas the IA2-based predictions nearly correspond to values for free nucleon-nucleon scattering.",
author = "{Van Der Ventel}, {B. I.S.} and Hillhouse, {G. C.} and {De Kock}, {P. R.}",
year = "2000",
month = "1",
day = "1",
language = "English",
volume = "62",
pages = "246091--246096",
journal = "Physical Review C - Nuclear Physics",
issn = "0556-2813",
publisher = "American Physical Society",
number = "2",

}

Relativistic predictions of quasielastic proton-nucleus spin observables based on a complete Lorentz invariant representation of the NN scattering matrix. / Van Der Ventel, B. I.S.; Hillhouse, G. C.; De Kock, P. R.

In: Physical Review C - Nuclear Physics, Vol. 62, No. 2, 024609, 01.01.2000, p. 246091-246096.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Relativistic predictions of quasielastic proton-nucleus spin observables based on a complete Lorentz invariant representation of the NN scattering matrix

AU - Van Der Ventel, B. I.S.

AU - Hillhouse, G. C.

AU - De Kock, P. R.

PY - 2000/1/1

Y1 - 2000/1/1

N2 - Within the framework of the relativistic plane wave impulse approximation (RPWIA), complete sets of quasielastic (p→,p→′) and (p→,n→) spin observables are calculated employing a general and complete Lorentz invariant representation of the NN scattering matrix (referred to as the IA2 representation). The use of a complete representation eliminates the arbitrariness of a previously used five-term parametrization (commonly called the IA1 representation) and allows for the correct incorporation of effective-mass-type medium effects within the RPWIA framework and within the context of the Walecka model. For quasielastic scattering from a 40Ca target at incident proton energies between 200 and 500 MeV, we investigate the sensitivity of complete sets of spin observables to effective nucleon masses for both IA1 and IA2 representations. In general it is seen that the IA1 representation may overestimate the importance of nuclear medium effects, whereas the IA2-based predictions nearly correspond to values for free nucleon-nucleon scattering.

AB - Within the framework of the relativistic plane wave impulse approximation (RPWIA), complete sets of quasielastic (p→,p→′) and (p→,n→) spin observables are calculated employing a general and complete Lorentz invariant representation of the NN scattering matrix (referred to as the IA2 representation). The use of a complete representation eliminates the arbitrariness of a previously used five-term parametrization (commonly called the IA1 representation) and allows for the correct incorporation of effective-mass-type medium effects within the RPWIA framework and within the context of the Walecka model. For quasielastic scattering from a 40Ca target at incident proton energies between 200 and 500 MeV, we investigate the sensitivity of complete sets of spin observables to effective nucleon masses for both IA1 and IA2 representations. In general it is seen that the IA1 representation may overestimate the importance of nuclear medium effects, whereas the IA2-based predictions nearly correspond to values for free nucleon-nucleon scattering.

UR - http://www.scopus.com/inward/record.url?scp=0034238412&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034238412&partnerID=8YFLogxK

M3 - Article

VL - 62

SP - 246091

EP - 246096

JO - Physical Review C - Nuclear Physics

JF - Physical Review C - Nuclear Physics

SN - 0556-2813

IS - 2

M1 - 024609

ER -