The LHC Can Smash Protons to Quark-Gluon Plasma Up To 27 Thousand Trillion Degrees

By Hui Zhong

Is that amazing?  Here is the algorism:

The Large Hadron Collider (LHC) is expected to accelerate each proton beam to 7 Tev.  That translates into the kinetic energy of 14 Tev by smashing two head to head protons into a so-called quark-gluon plasma.  That comes to six particles inside a fireball of the quark-gluon plasma  given each proton consists of three quarks.  Therefore, each particle carries about 14 Tev/6 ~ 2.3 Tev kinetic energy which can be expressed by temperature, or

kT = 2.3 Tev

where k is Boltzmann constant = 1.3806503 × 10-23 m2 kg s-2 K-1

At room temperature when T ~ 300 K,

kT ~ 1.38 x 10-23 x 300 / 1.6 x 10-19 ~ 0.0258 eV ~ 1/40 eV

When kT = 2.3 Tev

T ~ 2.3 x 1012 x 300 / 0.0258 ~ 2.7 x 1016 K = 27,000 Trillion Degrees

Here the temperature is the concept of the kinetic energy density.  Imaging 14 Tev is confined to a size of nuclei (about 10-45 m3).  The kinetic energy density insides is huge, corresponding to 27 thousand trillion degrees while the total kinetic energy insides is as little as 14 Tev, an energy level having no harm at all to the macro matters.

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