scholarly journals Exploring the unknown Lambda-neutron interaction

2020 ◽  
Author(s):  
Benjamin Gibson ◽  
Iraj. R. Afnan
Keyword(s):  
Bound State ◽  
Heavy Ion ◽  
Scattering Data ◽  
Faddeev Equations ◽  
Potential Models ◽  
Pairwise Interactions ◽  
Rank One ◽  
Three Body ◽  
Energy Plane ◽  
Theoretical Analyses

No published \LambdaΛn scattering data exist. A relativistic heavy-ion experiment has suggested that a \LambdaΛnn bound state was seen. However, several theoretical analyses have cast serious doubt on the bound-state assertion. Nevertheless, there could exist a three-body \LambdaΛnn resonance. Such a resonance could be used to constrain the \LambdaΛn interaction. We discuss \LambdaΛnn calculations using nn and \LambdaΛn pairwise interactions of rank-one, separable form that fit effective range parameters of the nn system and those hypothesized for the as yet unobserved \LambdaΛn system based upon four different \LambdaΛN potentials. The use of rank-one separable potentials allows one to analytically continue the \LambdaΛnn Faddeev equations onto the second complex energy plane in search of resonance poles, by examining the eigenvalue spectrum of the kernel of the Faddeev equations. Although each of the potential models predicts a \LambdaΛnn sub-threshold resonance pole, scaling of the \LambdaΛn interaction by as little as \sim∼5% does produce a physical resonance. This suggests that one may use photo-(electro-)production of the \LambdaΛnn system from tritium as a tool to examine the strength of the \LambdaΛn interaction.

scholarly journals Effect of isospin averaging for $ppK^-$ kaonic cluster

2020 ◽  
Author(s):  
Branislav Vlahovic ◽  
Igor Filikhin
Keyword(s):  
State Energy ◽  
Potential Model ◽  
Singlet State ◽  
Bound State ◽  
Bound State Energy ◽  
Faddeev Equations ◽  
Potential Models ◽  
Significant Difference ◽  
Three Body ◽  
Quasi Bound State

The kaonic cluster ppK^-ppK− is described by isospin-dependent N{\bar K}NK‾ potentials with significant difference between singlet and triplet components. The quasi-bound state energy of the system is calculated based on the configuration space Faddeev equations within isospin and averaged potential models. The isospin averaging of N{\bar K}NK‾ potentials is used to simplify the isospin model to isospinless one. We show that three-body bound state energy E_{3}E3 has a lower bound within the isospin formalism due to relation \left\vert E_{3}(V_{NN}=0)\right\vert<2\left\vert E_{2}\right\vert|E3(VNN=0)|<2|E2|, where E_{2}E2 is the binding energy of isospin singlet state of the N{\bar K}NK‾ subsystem. The averaged potential model demonstrates opposite relation between |E_{2}||E2| and |E_{3}(V_{NN}=0)||E3(VNN=0)|.

Derivation of the three-body bound-state equation from the effective action

1989 ◽  
Vol 40 (8) ◽  
pp. 2654-2661 ◽  
Author(s):  
M. Komachiya ◽  
M. Ukita ◽  
R. Fukuda
Keyword(s):  
Effective Action ◽  
Bound State ◽  
State Equation ◽  
Three Body

Note on radiationless transitions involving three-body collisions

1936 ◽  
Vol 32 (3) ◽  
pp. 482-485 ◽  
Author(s):  
R. A. Smith
Keyword(s):  
Continuous Spectrum ◽  
Negative Ions ◽  
Bound State ◽  
Excess Energy ◽  
Negative Ion ◽  
Positive Ions ◽  
Continuous State ◽  
Direct Formation ◽  
Three Body ◽  
Positive Ion

When an electron makes a transition from a continuous state to a bound state, for example in the case of neutralization of a positive ion or formation of a negative ion, its excess energy must be disposed of in some way. It is usually given off as radiation. In the case of neutralization of positive ions the radiation forms the well-known continuous spectrum. No such spectrum due to the direct formation of negative ions has, however, been observed. This process has been fully discussed in a recent paper by Massey and Smith. It is shown that in this case the spectrum would be difficult to observe.

N-N-N∗ model calculations for experimental η-mesic 3He searches

2019 ◽  
Vol 28 (08) ◽  
pp. 1950066 ◽  
Author(s):  
N. G. Kelkar ◽  
H. Kamada ◽  
M. Skurzok
Keyword(s):  
Experimental Data ◽  
Data Analysis ◽  
Momentum Distribution ◽  
Selection Criteria ◽  
Data Selection ◽  
Model Calculations ◽  
Faddeev Equations ◽  
Essential Ingredient ◽  
Momentum Distributions ◽  
Three Body

The possibility for the existence of the exotic [Formula: see text] states is explored with the objective of calculating the [Formula: see text] momentum distribution inside such nuclei. Even though the latter is an essential ingredient for the analysis of the experimental data on the [Formula: see text], [Formula: see text] and [Formula: see text] reactions aimed at finding an [Formula: see text]-mesic 3He, the data analysis is usually performed by approximating the [Formula: see text] momentum distribution by that of a nucleon. Here, we present calculations performed by solving the three-body Faddeev equations to obtain the momentum distribution of the [Formula: see text] inside possible ([Formula: see text])[Formula: see text], ([Formula: see text])[Formula: see text] and ([Formula: see text])[Formula: see text]-[Formula: see text] states. The [Formula: see text] momentum distributions are found to be much narrower than those of the nucleons and influence the data selection criteria.

The charge form factor of the model triton for two-particle interactions with continuum bound states

1981 ◽  
Vol 59 (2) ◽  
pp. 225-230 ◽  
Author(s):  
G. Pantis ◽  
H. Fiedeldey ◽  
D. W. L. Sprung
Keyword(s):  
Form Factor ◽  
Bound States ◽  
Bound State ◽  
Interesting Case ◽  
Charge Form Factor ◽  
Particle Interactions ◽  
Charge Form ◽  
Nonlocal Interactions ◽  
Asymptotic Shape ◽  
Three Body

The charge form factor of the model triton clearly exhibits the collapse which occurs in the triton for purely nonlocal two-body interactions with continuum bound states and approaches an asymptotic shape with increasing binding energy. However, partly nonlocal interactions with continuum bound states, which previously have been shown not to produce such a collapse, also show no evidence whatsoever of the presence of the two-particle continuum bound state in the triton charge form factor. In the physically interesting case of partly nonlocal interactions the occurrence of a continuum bound state in the two-body interactions therefore can be completely harmless in the three-body system.

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