The B(E2) anomaly: evidence for a low-lying mixed-symmetry collective excitation mode

Abstract

Abstract Exceptionally low values of the ratio of electric quadrupole transition rates, $$B_{4/2}\equiv B(E2;4^+_1\rightarrow 2^+_1)/B(E2;2^+_1\rightarrow 0^+_{\textrm{gs}})&lt;1$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>B</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> <mml:mo>≡</mml:mo> <mml:mi>B</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>E</mml:mi> <mml:mn>2</mml:mn> <mml:mo>;</mml:mo> <mml:msubsup> <mml:mn>4</mml:mn> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> </mml:msubsup> <mml:mo>→</mml:mo> <mml:msubsup> <mml:mn>2</mml:mn> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> </mml:msubsup> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>/</mml:mo> <mml:mi>B</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>E</mml:mi> <mml:mn>2</mml:mn> <mml:mo>;</mml:mo> <mml:msubsup> <mml:mn>2</mml:mn> <mml:mn>1</mml:mn> <mml:mo>+</mml:mo> </mml:msubsup> <mml:mo>→</mml:mo> <mml:msubsup> <mml:mn>0</mml:mn> <mml:mtext>gs</mml:mtext> <mml:mo>+</mml:mo> </mml:msubsup> <mml:mo>)</mml:mo> </mml:mrow> <mml:mo>&lt;</mml:mo> <mml:mn>1</mml:mn> </mml:mrow> </mml:math> , have been observed in neutron-deficient nuclei near $$N\approx 94$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>≈</mml:mo> <mml:mn>94</mml:mn> </mml:mrow> </mml:math> (W, Os, Pt) and $$N\approx 62$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>N</mml:mi> <mml:mo>≈</mml:mo> <mml:mn>62</mml:mn> </mml:mrow> </mml:math> (Te, Xe) with few and comparable numbers of valence nucleons outside closed shells. Remarkably, the suppressed $$B_{4/2}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> </mml:math> ratios coincide with low-lying energy level patterns characteristic of collective motion. Standard approaches, including large-scale shell model, collective models, and density functional theory, fail to reproduce this behavior, commonly referred to as the $$B_{4/2}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>B</mml:mi> <mml:mrow> <mml:mn>4</mml:mn> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:msub> </mml:math> (or B ( E 2)) anomaly. Recent work has reproduced the effect in selected Pt and Os isotopes via mapping a triaxial rotor Hamiltonian onto the interacting boson model (IBM), attributing it to triaxial rotational motion. However, this interpretation is unexpected as collectivity typically emerges first through vibrational modes with increasing valence nucleon number along isotopic chains. Here, we address this discrepancy using an extended IBM Hamiltonian across nuclei exhibiting the anomaly, benchmarked against large-scale shell model calculations, and propose that the B ( E 2) anomaly arises from a low-lying mixed-symmetry collective mode that bridges single-particle and collective dynamics.