# Finite Hydrogenic molecular chain H$_3$ and ion H$_2^-$ exist in a strong magnetic field. (arXiv:1903.06533v1 [astro-ph.HE])

The existence and stability of the linear hydrogenic chain H$_3$ and

H${}_2^-$ in a strong magnetic field is established. Variational calculations

for H$_3$ and H${}_2^-$ are carried out in magnetic fields in the range

$10^{11}\leq B \leq 10^{13}\,$G with 17-parametric (14-parametric for

H${}_2^-$), physically adequate trial function. Protons are assumed infinitely

massive, fixed along the magnetic line. States with total spin projection

$S_z=-3/2$ and magnetic quantum numbers $M=-2,-3,-4$ are studied. It is shown

that for both H$_3$ and H${}_2^-$ the lowest energy state corresponds to $M=-3$

in the whole range of magnetic fields studied. As for a magnetic field $B

\gtrsim 10^{11}\,$G both H$_3$ and H${}_2^-$ exist, they become stable for $B

\geq 1.9 \times 10^{11}\,$G and for $B \geq 2.7 \times 10^{11}\,$G,

respectively.