Radii of the bound states in ¹⁶ N from the asymptotic normalization coefficients

Abstract

Radii of the bound states in 16 N from the asymptotic normalization coefficients * E. T. Li () 2 X. Hao ( ) 1 S. P. Hu ( ) 1 J. J. He ( ) 5 L. Jing ( ) 2 S. J. Jin (Qiao ( ) 2 Y. P. Shen ( ) 2 H. B. Sun ( ) 1 S. Q. Yan ( ) 2 X. Q. Yu ( ) 5 S. Zeng ( ) 2 D. H. Zhang ( ) 6 L. Y. Zhang ( ) 5 W. J. Zhang ( ) 2 Y. Zhou ( ) 2 W. P. Liu ( ) 2

Study of the Isomeric State in $^{16}$N Using the $^{16}$N$^{g,m}$($d$,$^3$He) Reaction

“…This is also consistent with Ref. [17], which used ANC to extract the rms radius of the s-wave in 16 N isomer.…”

“…By adjusting the WS potential depth V of 16 N to vary the rms radius of the s-orbital, the overlap integral is 0.95 when the rms radius is 4 fm. This agrees with the rms radius extracted using ANC [17].…”

“…Also, Ref. [17] used the asymptotic normalization (ANC) coefficients to deduce the rms radius of the s-orbital in the 0 − level and the result was 4.82 ± 0.42 fm, which is 53% larger than the conventional size of the nucleus ∼ 1.25A 1/3 = 3.15 fm.…”

ANC From Experimental Perspective

“…The ANC deduced from peripheral transfer reactions was used to determine the rms radii for 12 B, 13 C by Liu et al (2001), for 13 C and 11 Be by Belyaeva et al (2014), for 12 B by Belyaeva et al (2018). Rms radii of valence neutron was studied in 16 N by Li et al (2016) for several excited states. 9,11 Be, 13 C and alpha cluster states were studied by Ogloblin et al (2016).…”