Delta degrees of freedom in antisymmetrized molecular dynamics and (p,p') reactions in the delta region

Details Delta degrees of freedom in antisymmetrized molecular dynamics and (p,p') reactions in the delta region Delta degrees of freedom in antisymmetrized molecular dynamics and (p,p') reactions in the delta region

1995-05-18

arxiv.org/abs/nucl-th/9505027v1

Phys.Rev.C52:3231-3248,1995

Physics

Nuclear Physics

Nuclear Theory

28 pages, revtex, 12 figures included, figures are also available upon request as postscript files from the authors (e-mail:

Scientific paper

10.1103/PhysRevC.52.3231

Delta degrees of freedom are introduced into antisymmetrized molecular dynamics (AMD). This is done by increasing the number of basic states in the AMD wave function, introducing a Skyrme-type delta-nucleon potential, and including $NN\leftrightarrow N\Delta$ reactions in the collision description. As a test of the delta dynamics, the extended AMD is applied to (p,p$'$) recations at $E_{\rm lab}=800$ MeV for a $^{12}$C target. It is found that the ratio and the absolute values for delta peak and quasielastic peak (QEP) in the $^{12}$C(p,p$'$) reaction are reproduced for angles $\Theta_{\rm lab} \agt 40^\circ$, pointing to a correct treatment of the delta dynamics in the extended AMD. For forward angles the QEP is overestimated. The results of the AMD calculations are compared to one-step Monte Carlo (OSMC) calculations and a detailed analysis of multi-step and delta potential effects is given. As important side results we present a way to apply a Gallilei invariant theory for (N,N$'$) reactions up to $E_{\rm lab} \approx 800$ MeV which ensures approximate Lorentz invariance and we discuss how to fix the width parameter $\nu$ of the single particle momentum distribution for outgoing nucleons in the AMD calculation.

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