Relating Binding Energy and Scattering Length of Weakly Bound Dimers of Strontium

2021 ◽  
pp. 2000588
Author(s):  
Lucie D. Augustovičová ◽  
Vladimír Špirko
1957 ◽  
Vol 35 (4) ◽  
pp. 451-454 ◽  
Author(s):  
M. A. Preston ◽  
J. Shapiro

An attempt has been made to select the core radius and coupling constant of the Lévy potential for the interaction of two nucleons in order to fit the binding energy of the deuteron and the singlet state neutron–proton scattering length. It was found that these two quantities cannot be fitted simultaneously. For any given choice of coupling constant, a somewhat larger core radius is required to fit the deuteron binding energy than is required for the scattering length. This spin dependence of the core radius does not preclude the possibility of a fit to the low energy data with the Lévy potential.


2010 ◽  
Vol 25 (21n23) ◽  
pp. 2006-2007
Author(s):  
K. FUKUKAWA ◽  
Y. FUJIWARA

We apply our quark-model NN interaction fss2 to the nd scattering in the Faddeev formalism. A consistent description of the triton binding energy, the nd scattering length, the differential cross sections, and spin observables of the elastic scattering up to 65 MeV is achieved without introducing three-body forces.


2022 ◽  
pp. 2100429
Author(s):  
Lucie D. Augustovičová ◽  
Vladimír Špirko

1975 ◽  
Vol 53 (18) ◽  
pp. 1749-1763 ◽  
Author(s):  
N. J. McGurk ◽  
H. Fiedeldey

The triton ground state energy and the neutron–deuteron doublet scattering length have been calculated with two families of phase equivalent separable interactions in the 1S0 and 3S1–3D1 states of the nucleon–nucleon interaction. Generating the interactions from a solution of the inverse scattering problem, a separable representation of the nucleon–nucleon interaction is fully exploited to fit the scattering and bound state data as well as possible. Off shell constraints on the interactions are then discussed. Results for the three nucleon quantities are compared to those obtained with realistic local and one boson exchange potentials. It is shown that all results for potentials obeying the known off shell constraints lie on the Phillips band, which appears to be independent of the potential model employed. This is a consequence of the fact that the triton binding energy and doublet scattering length are only sensitive to the broad detail of the nucleon–nucleon S matrix in the 1S0 and 3S1–3D1 states and to certain global features of the residues at the singlet deuteron and deuteron poles. Relatively large off shell variations in the triton binding energy and doublet scattering length along this Phillips band are possible and the plausibility that the experimental values could be fitted is discussed.


Biomolecules ◽  
2020 ◽  
Vol 10 (6) ◽  
pp. 907
Author(s):  
Bodee Nutho ◽  
Salila Pengthaisong ◽  
Anupong Tankrathok ◽  
Vannajan Sanghiran Lee ◽  
James R. Ketudat Cairns ◽  
...  

β-Glucosidases and β-mannosidases hydrolyze substrates that differ only in the epimer of the nonreducing terminal sugar moiety, but most such enzymes show a strong preference for one activity or the other. Rice Os3BGlu7 and Os7BGlu26 β-glycosidases show a less strong preference, but Os3BGlu7 and Os7BGlu26 prefer glucosides and mannosides, respectively. Previous studies of crystal structures with glucoimidazole (GIm) and mannoimidazole (MIm) complexes and metadynamic simulations suggested that Os7BGlu26 hydrolyzes mannosides via the B2,5 transition state (TS) conformation preferred for mannosides and glucosides via their preferred 4H3/4E TS conformation. However, MIm is weakly bound by both enzymes. In the present study, we found that MIm was not bound in the active site of crystallized Os3BGlu7, but GIm was tightly bound in the −1 subsite in a 4H3/4E conformation via hydrogen bonds with the surrounding residues. One-microsecond molecular dynamics simulations showed that GIm was stably bound in the Os3BGlu7 active site and the glycone-binding site with little distortion. In contrast, MIm initialized in the B2,5 conformation rapidly relaxed to a E3/4H3 conformation and moved out into a position in the entrance of the active site, where it bound more stably despite making fewer interactions. The lack of MIm binding in the glycone site in protein crystals and simulations implies that the energy required to distort MIm to the B2,5 conformation for optimal active site residue interactions is sufficient to offset the energy of those interactions in Os3BGlu7. This balance between distortion and binding energy may also provide a rationale for glucosidase versus mannosidase specificity in plant β-glycosidases.


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