Naslov
A shadow of the repulsive Rutherford scattering in the fixed-target and the center-of-mass frame

Autori
Žugec, Petar ; Topić, Ivan

Izvornik
European journal of physics (0143-0807) 41 (2020), 065005; 1-14

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Rutherford scattering, shadow, fixed-target frame, center-of-mass frame

Sažetak
The paper explores the shadow of the repulsive Rutherford scattering — the portion of space entirely shielded from admitting any particle trajectory. The geometric properties of the projectile shadow are analyzed in detail in the fixed-target frame as well as in the center-of-mass frame, where both the charged projectile and the charged target cast their own respective shadows. In both frames the shadow is found to take an extremely simple paraboloidal shape. In the fixed-target frame the target is precisely at the focus of this paraboloidal shape, while the focal points of the projectile and target shadows in the center-of-mass frame coincide. In the fixed-target frame the shadow takes on a universal form, independent of the underlying physical parameters, when expressed in properly scaled coordinates, thus revealing a natural length scale to the Rutherford scattering.

Izvorni jezik
Engleski

Znanstvena područja
Fizika

POVEZANOST RADA