Off-Shell Correction to the High-Energy Optical Potential

Journal Article · Tue May 01 04:00:00 EDT 1973 · Physical Review. C, Nuclear physics

DOI:https://doi.org/10.1103/PhysRevC.7.1750· OSTI ID:4467583

Moniz, Ernest J. ^[1]

---

1. Univ. of Pennsylvania, Philadelphia, PA (United States)

We obtain the leading off-shell correction to the high-energy optical potential: v = v₀ x [1-(γ/2k²)v₀], where γ = k[(∂/∂_q)lnf(q;k)]_q=k for f(q;k)=f(q^{→q→;k) the off-shell projectile-nucleon scattering amplitude. A slow energy variation of the amplitude at very high energy gives γ = k(∂/∂k)lnf_k(0), where f_k(0) is the on-shell amplitude, and the correction is small. In the region of projectile-nucleon resonances, we describe the two-body interaction by a separable potential and relate γ to the scattering phase shifts. The leading off-shell correction is substantial for an absorptive resonance but ''anomalously'' small at an elastic resonance.}

• Research Organization: Univ. of Pennsylvania, Philadelphia, PA (United States)
• Sponsoring Organization: National Science Foundation (NSF)
• NSA Number: NSA-28-017121
• OSTI ID: 4467583
• Journal Information: Physical Review. C, Nuclear physics, Journal Name: Physical Review. C, Nuclear physics Journal Issue: 5 Vol. 7; ISSN 0556-2813; ISSN PRVCAN
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

*CARBON 12-- PION REACTIONS
*OPTICAL MODELS-- CORRECTIONS
*PION BEAMS-- NUCLEAR REACTIONS
*PION REACTIONS-- TOTAL CROSS SECTIONS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EXCITATION FUNCTIONS
GLAUBER THEORY
MEV RANGE 100-1000
NUCLEAR POTENTIAL
RESONANCE
SCATTERING AMPLITUDES