Effects of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>T</mml:mi><mml:mo>=</mml:mo><mml:mn>0</mml:mn><mml:mn /></mml:math>two body matrix elements on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>M</mml:mi><mml:mn>1</mml:mn><mml:mn /></mml:math>and Gamow-Teller transitions: Isospin decomposition

Robinson, S. J. Q.; Zamick, Larry

doi:10.1103/physrevc.66.034303

Cited by 11 publications

(7 citation statements)

References 16 publications

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“…This formula was also obtained in Ref. [14] and holds for both integer and half-integer value of j. In Appendix A, we present some explicit formulas of nine-j symbols with J = K = 2j or J = K = 2j − 1.…”

Section: J-paring Interactionsupporting

confidence: 56%

J-pairing interaction, number of states, and nine-jsum rules of four identical particles

Zhao

2005

Phys. Rev. C

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In this paper we study J-pairing Hamiltonian and find that the sum of eigenvalues of spin I states equals sum of norm matrix elements within the pair basis for four identical particles such as four fermions in a single-j shell or four bosons with spin l. We relate number of states to sum rules of nine-j coefficients. We obtained sum rules for nine-j coefficients (jj)J, (jj)K : I|(jj)J, (jj)K : I and (ll)J, (ll)K : I|(ll)J, (ll)K : I summing over (1) even J and even K, (2) even J and odd K, (3) odd J and odd K, and (4) both even and odd values for J and K, where j is a half integer and l is an integer.

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Section: J-paring Interactionsupporting

confidence: 56%

J-pairing interaction, number of states, and nine-jsum rules of four identical particles

Zhao

2005

Phys. Rev. C

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“…The effects of T = 0 two body matrix elements on M 1 and Gamow-Teller transitions for 44 Ti, 46 Ti, and 48 Ti is reported in refs. [16,17]. In this work it was shown that transition rates were much more sensitive to the details of the T = 0 interaction.…”

Section: Introductionmentioning

confidence: 70%

Shell model description of Gamow-Teller strengths in pf-shell nuclei

Kumar

Srivastava

2016

Eur. Phys. J. A

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A systematic shell model description of the experimental Gamow-Teller transition strength distributions in 42 Ti, 46 Cr, 50 Fe and 54 Ni is presented. These transitions have been recently measured via β decay of these Tz=-1 nuclei, produced in fragmentation reactions at GSI and also with ( 3 He,t) charge-exchange (CE) reactions corresponding to Tz = +1 to Tz = 0 carried out at RCNP-Osaka. The calculations are performed in the pf model space, using the GXPF1a and KB3G effective interactions. Qualitative agreement is obtained for the individual transitions, while the calculated summed transition strengths closely reproduce the observed ones.PACS. 21.60.Cs Shell model, 23.40.Hc Relation with nuclear matrix elements and nuclear structure, 25.55.Kr Charge-exchange reactions

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“…The IS spin-triplet pairing correlations have been reported to play an important role in enhancing the GT strength near the ground states of daughter nuclei with mass N∼Z [11][12][13][14]. At the same time, the total sum rule of the GT strength is quenched by ground state correlations due to the IS pairing [15]. The IS paring is also found to be important to reduce 0νββ decay matrix elements [16].…”

Section: Introductionmentioning

confidence: 99%

Isoscalar and isovector spin responses in p-shell and sd-shell nuclei

Sagawa

Suzuki

2018

EPJ Web Conf.

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We study the spin magnetic dipole transitions in sd-shell even-even nuclei with N=Z and a p-shell nucleus 12C by modern shell model calculations. The shell model wave functions take into account enhanced isoscalar (IS) spin-triplet pairing as well as the effective spin operators. We point out that the IS pairing and the effective spin operators give a large quenching effect on the isovector (IV) spin transitions to be consistent with observed data by (p, p′) experiments. On the other hand, the observed IS spin strengths do not show large quenching effect suggested by the calculated investigation. The IS pairing gives a substantial quenching effect on the spin magnetic dipole transitions, especially on the IV ones.

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Effects ofT=0two body matrix elements onM1and Gamow-Teller transitions: Isospin decomposition

Cited by 11 publications

References 16 publications

J-pairing interaction, number of states, and nine-jsum rules of four identical particles

J-pairing interaction, number of states, and nine-jsum rules of four identical particles

Shell model description of Gamow-Teller strengths in pf-shell nuclei

Isoscalar and isovector spin responses in p-shell and sd-shell nuclei

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