Upper bound on minimal length from deuteron

Estimation of Minimal Length Using Binding Energy of Deuteron

“…Using this in Eq. ( 9) and the experimental 0 E  quoted just, we get an upperbound on minimal length, if we attribute the whole uncertainty in binding energy of deuteron to GUP, as   10   [10]). Hence, the result we present in this work is of considerable theoretical interest and importance.…”

“…where GUP is thought and theorized to be most operational, GUP can have observable consequences at length scales much larger than the Planck scale which is evident from the modified uncertainty relation (since it contains a UV/IR mixing) and the upperbound just quoted. We have previously presented an upperbound on minimal length from shift caused by GUP to deuteron quadrupole moment which is about 10 -16 m [10]. In the present paper, we estimate the correction to the ground state energy of deuteron due to GUP and use that to estimate an upperbound on minimal length.…”

Collective states of even-even nuclei in gamma-rigid quadrupole Hamiltonian with Minimal Length under the sextic potential

“…was extracted from the centrifugal term of (23) such that s(L) could be approximated by s (L) (31) for L ≥ 4. Finally, the total energy of the system in the case of α = 0 is easily deduced from ( 41):…”

“…As a matter of fact, the ML concept has been used in several quantum physical theories which have been favorable for the existence of a ML with magnitudes ranging from the Planck constant (10 −35 m) [29,30] to the order 10 −15 m [31,32,33]. In this optic, the ML concept has been introduced, for the first time, in nuclear structure through BMM in the pioneering work [20].…”

A Short Note on Minimal Length

“…However, for hydrogen-like systems, the estimated value of minimal length falls around the value found by Brau. We have previously estimated [8] the upperbound on minimal length using deuteron quadrupole moment, which is about 10 −16 m.…”