“…Present consideration is based on the use of a simple variational trial function (4). This function can be easily generalized and extended in the same way as was done in a variational study of various one-electron systems in a strong magnetic field (see [3]).…”
Section: Discussionmentioning
confidence: 99%
“…Recently, it was announced that in a sufficiently strong magnetic field B 10 11 G the exotic molecular ion H 2+ 3 can exist in linear configuration with protons situated along the magnetic line [4] (for discussion see a review [3]). In general, it is a metastable long-living system which decays to H + 2 + p. However, at B 10 13 G the ion H 2+ 3 becomes stable.…”
A first detailed study of the ground state of the H + 3 molecular ion in linear configuration, parallel to a magnetic field direction, and its low-lying Σ, Π, ∆ states is carried out for magnetic fields
“…Present consideration is based on the use of a simple variational trial function (4). This function can be easily generalized and extended in the same way as was done in a variational study of various one-electron systems in a strong magnetic field (see [3]).…”
Section: Discussionmentioning
confidence: 99%
“…Recently, it was announced that in a sufficiently strong magnetic field B 10 11 G the exotic molecular ion H 2+ 3 can exist in linear configuration with protons situated along the magnetic line [4] (for discussion see a review [3]). In general, it is a metastable long-living system which decays to H + 2 + p. However, at B 10 13 G the ion H 2+ 3 becomes stable.…”
A first detailed study of the ground state of the H + 3 molecular ion in linear configuration, parallel to a magnetic field direction, and its low-lying Σ, Π, ∆ states is carried out for magnetic fields
“…In particular, this led to the prediction of the existence of the exotic ions H 2+ 3 at B 10 10 G and in a linear configuration H 3+ 4 at B 10 13 G [6,7]. Recently, this recipe was used for the first time to make a detailed study of the spatial configuration H 2+ 3 [8].…”
Section: Choosing Trial Functionsmentioning
confidence: 99%
“…Motivated by these simple observations it was shown in Refs. [6,7] that three and even four protons can be bound by one electron. This shows that exotic one-electron molecular systems H 2+ 3 and H 3+ 4 can exist in sufficiently strong magnetic fields in the form of linear polymers.…”
A detailed quantitative analysis of the system (ppe) placed in magnetic field ranging from 0 − 4.414 × 10 13 G is presented. The present study is focused on the question of the existence of the molecular ion H + 2 in a magnetic field. As a tool, a variational method with an optimization of the form of the vector potential (optimal gauge fixing) is used. It is shown that in the domain of applicability of the non-relativistic approximation the system (ppe) in the Born-Oppenheimer approximation has a well-pronounced minimum in the total energy at a finite interproton distance for B 10 11 G, thus manifesting the existence of H + 2 . For B 10 11 G and large inclinations (of the molecular axis with respect to the magnetic line) the minimum disappears and hence the molecular ion H + 2 does not exist. It is shown that the most stable configuration of H + 2 always corresponds to protons situated along the magnetic line. With magnetic field growth the ion H + 2 becomes more and more tightly bound and compact, and the electronic distribution evolves from a two-peak to a one-peak pattern. The domain of inclinations where the H + 2 ion exists reduces with magnetic field increase and finally becomes 0 o − 25 o at B = 4.414 × 10 13 G. Phase transition type behavior of variational parameters for some interproton distances related to the beginning of the chemical reaction H +
“…In [5] (see also [6] and references therein) the hydrogen atom in a strong magnetic field was studied quantitatively with high accuracy. Then in the papers [7] a detailed accurate study of the systems made up of one electron and several protons (epp . .…”
A model of a hydrogenic content of atmosphere of the isolated neutron star 1E1207.4-5209 is proposed. It is based on the assumption that the main component in the atmosphere is the exotic molecular ion H 2+ 3 and that there exists a magnetic field in the range of (4 ± 2) × 10 14 G. Photoionization H 2+ 3 → e + 3p and photodissociation H 2+ 3 → H + 2p correspond to two absorption features at 0.7 KeV and 1.4 KeV, respectively, discovered by Chandra observatory (Sanwal et al, 2002).The model predicts one more absorption feature at 80-150 eV corresponding to photodissociation
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